Tutors Answer Your Questions about Numeric Fractions (FREE)
Question 571082: How do I solve fractions like this: m+n over m-n minus m over m+n minus 2m squared over n squared - m squared ?
Answer by ankor@dixie-net.com(12692)   (Show Source):
You can put this solution on YOUR website!How do I solve fractions like this: m+n over m-n minus m over m+n minus 2m squared over n squared - m squared ?
:
You can't solve this, you have no equal sign, you can only simplify it.
:
Assuming the problem is:
 -  - 
we want to change the signs in the third denominator so we can factor the difference of squares to:
- - 
that changes the sign to:
- + 
Factor
- + 
you can see we can put this over a single denominator
 = 
combine like terms, then factor
 = 
Cancel the (m+n), leaving us with
Question 571228: What are the steps to solving 5/12+7/30 ?
Found 2 solutions by Theo, nerdybill:
Answer by Theo(2967)  (Show Source):
You can put this solution on YOUR website!5/12 + 7/30 have different denominator so they can't be added very easily, if at all.
the easiest way to add them together is to convert them to a fraction that has the same denominator.
then they can be added very easily.
since 12 doesn't divide into 30 easily, you are looking for some multiple of 12 and 30 that can be divided by both evenly.
the simplest one to find would be 12 * 30 = 360.
this may not be the least common multiple but it is definitely a common multiple and can be used if you can't find a smaller common multiple.
assuming you could not find a smaller common multiple, then you would do the following:
5/12 + 7/30 is your expression.
multiply the first term by 30/30 and multiply the second term by 12/12 to get:
5*30/12*30 + 7*12/12*30
simplify this to get:
150/360 + 84/360
add these together to get:
234/360
simplify this to get:
13/20
assuming you could find a smaller common multiple, you would obtain that by doing the following:
separate 12 into its elemental factors.
you will get 2 * 3 * 2
separate 30 into its elemental factors.
you will get:
2 * 5 * 3
if you eliminate the common factors, you will be left with 2 and 5.
2 * 30 = 60
5 * 12 = 60
the least common multiple of 12 and 30 appears to be 60.
go back to your original expression of:
5/12+ 7/30
multiply 5/12 by 5/5 and multiply 7/30 by 2/2 to get:
5*5/12*5 + 7*2/30*2 which results in:
25/60 + 14/60 which results in:
39/60 which can be reduced to 13/20
you will get the same answer either way.
you are told that you want to find the least common multiple, but you can solve the problem by any common multiple and the easiest common multiple to find is to multiply the denominators together.
in the world of manual calculations, finding the least common multiple makes sense because it makes subsequent calculations easier.
in the world of calculators, find the least common multiple is not quite as important and the only real reason for doing so would be if the numbers were so large that they couldn't be solved through use of the calculator unless they were reduced beforehand.
since you are in school, and they teach you to use the least common multiple, that's another good reason to try to find it if possible.
in this particular example, the least common multiple was 60 and it was used to get the fractions to have a common denominator.
we did, once again.
multiply 5/12 by 5/5 and multiply 7/30 by 2/2 to get:
25/60 + 14/60 which could then be added easily to get 39/60 which was then reduced to 13/20.
Answer by nerdybill(5404)  (Show Source):
You can put this solution on YOUR website!5/12+7/30
determine a common denominator (60)
convert both fractions to have the same denominator:
25/60+14/60
(25+14)/60
39/60
reduce fraction:
13/20
Question 570484: I a having toubles figuring out how to find equivalent fractions so the fraction in each pair have a same denominator..
12/5 and 8/3
i dont get how to do it and then place it a number line??? help :)
Answer by KMST(590)  (Show Source):
You can put this solution on YOUR website!You would need a common denominator that is a multiple of both denominators.
In some cases, just multiplying the denominators would give you a good common denominator. Other times you could find an easier, smaller one.
In this case  is the least common multiple, and a great common denominator.
The next step is to find the equivalent fractions.
Equivalent fractions are made by multiplying or dividing the numerator and denominator (top and bottom numbers) by the same number. So
 =  = 
also 
Multiplying numerator and denominator of  by 5, you get
To place them on a number line, I would divide to get them in decimal form, and then plot them accordingly.
=  = about 2.67 (rounded}
 (that one divides exactly, to give you a terminating decimal.
Question 570415: 4x+6+3=17
Answer by unlockmath(1122)  (Show Source):
You can put this solution on YOUR website!Hello,
With this one---4x+6+3=17
Add the 6 and 3 and then subtract 9 from both sides to get:
4x=8
Now divide by 4 to get:
x=2
Make sense?
RJ
www.math-unlock.com
Question 570419: What is 4 divided by 5 in fractions
Answer by solver91311(12126)  (Show Source):
Question 570388: how do you solve 1+4/9+49
Answer by rfer(10417) (Show Source):
Question 569948: Cory and Melissa are racing electronic cars around a circular track. They begin at the same time going in the same direction. Cory's car completes a revolution in 50 seconds, while Melissa's car completes a revolution in 45 seconds. How long will it take them before both cars reach the starting point again simultaneously?
Answer by josmiceli(6782)  (Show Source):
You can put this solution on YOUR website!Mark their positions and the time when
the faster car, Melissa's, makes a complete
revolution.
Melissa's 1st revolution:
Cory's is 5 sec behind, which is 
of a revolution for Cory
Melissa's 2nd revolution:
Cory has lost another 5 sec. He is  of
a revolution behind
---------------
Melissa's 10th revolution:
Cory has lost  sec, which is 1 rev for him
Melissa's 10 revolutions take  sec
In 450 sec they will meet at starting point
Question 569807: I need to know the answer to 1 1/15 divided by 1 19/20 thank you in advance for your help
Answer by Alan3354(21581)  (Show Source):
You can put this solution on YOUR website!I need to know the answer to 1 1/15 divided by 1 19/20 thank you in advance for your help
-----------
Step 1 - change to fractions
1 1/15 = 16/15
1 19/20 = 39/20
-----
Step 2 - invert the divisor: 39/20 --> 20/39
----
Step 3, multiply
= (16/15)*(20/39)
Step 4 - do it
Question 569604: WHAT IS 6/9 TIMES 3/14
Found 2 solutions by JBarnum, Alan3354:
Answer by JBarnum(1826)  (Show Source):
Answer by Alan3354(21581) (Show Source):
Question 569025: hey tutors
i need to know what 11 1\9% as a fraction
thanks
Blake
Answer by Alan3354(21581) (Show Source):
You can put this solution on YOUR website! 11 1\9% as a fraction
---------------
= 9*(11 1/9) = 100
--> 11 1/9% = 100%/9
--> 1/9
=======
That make sense? Or try this:
11 1/9 = 11.111...% repeating 1's
Divide by 100
--> 0.111... as a repeating decimal
1n = 0.111111.....
10n = 1.11111.....
-1n =-0.11111....
------------------ Subtract
9n = 1
n = 1/9
Question 568696: PLEASE HELP ME SOLVE THIS PROBLEM AND SHOW ME HOW. I'M NEW TO ALGEBRA AND I'M JUST PLAIN STUMPED.
Found 2 solutions by richard1234, Alan3354:
Answer by richard1234(4789)  (Show Source):
Answer by Alan3354(21581) (Show Source):
Question 568831: How do you figure out what 3/4-1/6 is?
Answer by Alan3354(21581) (Show Source):
Question 568664: What does 207 over 273 come out to be a simplifed fraction
Answer by Alan3354(21581) (Show Source):
Question 568457: is -14 a whole number? Interger? natural number? irrational number? rational number? or a real number?
Found 2 solutions by solver91311, jim_thompson5910:
Answer by solver91311(12126) (Show Source):
Answer by jim_thompson5910(21667) (Show Source):
Question 568450: what is 7/9 times 7/9 subtracted by 1/7 ?
Answer by jim_thompson5910(21667) (Show Source):
Question 567543: I need help on my math homework the subject is math and I'm multiplying fractions
Answer by unlockmath(1122) (Show Source):
You can put this solution on YOUR website!Hello,
What's the problem you need help on?
to multiply fractions, just multiply the numerators and then multiply the denominators. That's all.
RJ
www.math-unlock.com
btw I just wrote a math book called Fractions:Part 1
Question 567391: I need to divide 38 3/4 inches by 4 to make a skirt. I would appreciate not just an answer but if you can help me understand it! I would like to understand how this strange system works in division. I actually don't understand why sometimes a number is called an 1/8 & sometimes 2/16th. Can you help me? Many thanks.
Answer by ankor@dixie-net.com(12692) (Show Source):
You can put this solution on YOUR website!I need to divide 38 3/4 inches by 4 to make a skirt.
:
First convert 38 3/4 inches to an improper fraction (find how many 4th are in 38 3/4)
4(38) + 3
which is:
152 + 3 = 
:
You can effectively divide this by four, my multiplying it by 1/4
multiply the numerators and the denominators
*  = 
convert that by using long division where you have a remainder
. . ____
16| 155
You should get 9 with a remainder of 11, therefore it's 9 11/16 inches
:
:
I actually don't understand why sometimes a number is called an 1/8 & sometimes 2/16th.
Think of it as if you cut a pizza into 16 equal pie-shaped pieces
then
8 pieces would be one half the pizza (1/2), which is 8/16 of the pizza
Similarly:
4 pieces would be one fourth of a pizza (1/4), which is 4/16 of the pizza
and
2 pieces would be one eighth of a pizza (1/8), which is 2/16 of the pizze
:
Did this help? I will endeavor to explain further if you want me to. Anyone who has the skill to actually sew their own skirt, should have no trouble with fractions.
Question 567164: what is 12 and 1/3 subtract 7 and 5/6
Found 2 solutions by josmiceli, Maths68:
Answer by josmiceli(6782) (Show Source):
Answer by Maths68(1143)  (Show Source):
Question 567103: 1 1/4 divided by a=5
I am trying to help my son with this and we can't figure it out. Will you please show all the work so we can do the rest of his homework from your example? THANK YOU!!!
Answer by josmiceli(6782) (Show Source):
You can put this solution on YOUR website!1 1/4 divided by 5
You can think of this as
It's a little hard to imagine 1/4
divided into 5 equal parts, but if
you multiply the top and bottom
by  , like this:
 , the value
hasn't changed, and now you've got
and it's easy to divide by 
-------------------
So far I've got 
Multiply top and bottom of  by 
Now I have 
Divide top and bottom by
 answer
---------------------------
(5/5) and (4/4) are just  , so
multiplying by them doesn't change the rest
Question 566340: i can not figure out 7 4/5 times 2 1/3. could you please help me
Found 2 solutions by bucky, Tias_411:
Answer by bucky(2097) (Show Source):
You can put this solution on YOUR website!To do this multiplication in fractional form, first convert the two numbers to improper fractions. We'll do that one at a time.
.
First, let's convert  to an improper fraction. Do that by multiplying the denominator 5 times the whole number 7 to get 35 and then add the 4 to the 35 to get an answer of 39. The 39 is then placed over the denominator 5 to get the improper fraction  .
.
Note that you can check this by dividing 5 into 39 and you get 7 with a remainder of 4.
.
Next let's convert the  into an improper fraction. Use the same process as we did earlier. Multiply the denominator 3 times the whole number 2 to get 6 and then add the numerator 1 to the 6 to get 7. So the improper fraction that results is  . Check by dividing 3 into 7 and you get 2 with a remainder 1 (the whole number and the numerator).
.
Now we multiply the two improper fractions as follows:
.
.
We multiply the two numerators together. 39 times 7 gives a product of 273.
.
Then we multiply the two denominators together. 5 times 3 is 15.
.
The answer we got for the product of the two improper fractions is  as shown below:
.
.
Now we can convert this Improper fraction (meaning the numerator is bigger than the denominator) back into a mixed number by dividing 15 into 273. 15 goes into 273 18 times with a remainder of 3. So the answer 273 divided by 15 results in the following mixed number:
.
.
But the 3 over 15 can be reduced to 1 over 5 by dividing both the numerator 3 and the denominator 15 by 3.
.
So the final answer for the multiplication is 
.
Hope this helps you understand the following points:
.
1. You convert a mixed number (a whole number and a fraction) to an improper number (single fraction with a numerator bigger that its denominator) by multiplying the denominator of the fraction times the whole number, then adding the numerator of the fraction, and then placing the result over the denominator.
.
2. To multiply two mixed numbers, convert both of those two numbers to improper fractions.
.
3. Multiply the two numerators of the improper fractions together and get the numerator product.
.
4. Multiply the two denominators of the improper fractions together and get the denominator product.
.
5. Form a new fraction consisting of the numerator product over the denominator product.
.
6. Convert the answer back to a mixed number by dividing the denominator product into the numerator product to get the whole number part. Then place the remainder over the denominator product to get the fractional part and reduce it if possible.
.
Answer by Tias_411(14)  (Show Source):
You can put this solution on YOUR website!its best to convert them to improper fractions first.. 7 4/5= 39/5 and 2 1/3= 7/3. then you just multiply the numerators and denominators. 39*7 and 5*3.. that gives you 273/15. then you turn that back into a mixed number.. giving you an answer of 18 3/15 which is also equal to 18 1/5 in lowest terms.. i think..
Question 565930: what is 13 4/7 minus 9 9/14
Answer by Maths68(1143) (Show Source):
Question 565812: what is 4/5 divided by 9/10?
Answer by ad_alta(170)  (Show Source):
Question 565643: what is 8/9 minus 3/4 and how do you get that answer
Answer by stanbon(48525) (Show Source):
You can put this solution on YOUR website!what is 8/9 minus 3/4
----------------------------
You need a common denominator:
least common denominator: 36
----
Rewrite each fraction with the lcd as its denominator:
= [(4*8)/36] - [(3*9)/36]
-------------------
Combine the numerators over the lcd:
= [32 + 27]/36
----------------------
= [59/36]
==============
Cheers,
Stan H.
====================
Question 565623: i need help on adding 5/14 + 2/14. and answer in lowest terms also add 2/9 + 4/9 and answer in lowest terms?
Answer by stanbon(48525) (Show Source):
You can put this solution on YOUR website! i need help on adding 5/14 + 2/14 = 7/14 = 1/2
---------------------------------------------------
and answer in lowest terms also add 2/9 + 4/9 = 6/9 = 2/3
=============================================================
Cheers,
Stan H.
============
Question 565591: It has been a long time since I have done this, so I need help in finding out how I get the answer for 5/12+ 1/3+ 1/6
Answer by lwsshak3(2915) (Show Source):
You can put this solution on YOUR website!5/12+ 1/3+ 1/6
The best way to do these problems is to change all the fractions with a common denominator then combine like terms of the numerator.
5/12+ 1/3+ 1/6
LCD=12
5/12+4/12+2/12=11/12
Question 565318: Can you tell me how to do this problem. I have not had Algebra before so I need to be sure I'm on the right track.
2x + 6 =30
Answer by Tias_411(14) (Show Source):
You can put this solution on YOUR website!first you want to get your (2x) by itself so you subtract 6 from both sides of your equation. 2x + 6 =30
- 6 -6
___________
2x =24
*your 6's will cancel out.
now you want x by itself so you divide both sides by 2.
2x =24
/2 /2
x= 12
*your 2's canceled to get you x by itself.
Question 565313: what is the answer to the following problem:
9/[-3(4+6)]-8
Please give me the order in which one would solve this problem. Thanks.
Answer by mananth(10543)  (Show Source):
You can put this solution on YOUR website!You have to apply the BODMAS rule
Brackets , Division, Multiplication,Addition, Subtraction
9/([-3(4+6)]-8)
9/([-3(10)]-8)
9/([-30]-8)
9/-38
Question 565102: 1 divide 1 over 6
Answer by jim_thompson5910(21667) (Show Source):
Question 564538: find: -11/5 + 6/5
Answer by jim_thompson5910(21667) (Show Source):
Question 564977: can you help me solve r over 2 + 8 over 3 = 1 over 6
Answer by ad_alta(170) (Show Source):
Question 563995: what is the least common multiple and the greatest common factor of 125, 235 and 270?
Answer by KMST(590) (Show Source):
You can put this solution on YOUR website!The prime factorizations are
The numbers 2, 3, and 47 do not appear in all factorizations.
The only common factor is .
All three numbers are multiples of , but not of  , or  .
So, the greatest common factor is 5.
The factorization of a common multiple must contain at least
,  ,  , and  ,
all prime factors with the largest exponents.
The least common multiple is
LCM=  =317250
All the other common multiples are multiples of 317250.
Question 563581: Find two consecutive integers whose product is 272.
Answer by Alan3354(21581) (Show Source):
Question 563522: This should be easy, but I'm having problems figuring it out.
The problem:
2 3/8
minus
5 3/4
equals
?
I have tried and thought it through in my brain, but I'm having an all nighter so that probably doesn't help me. Please fix my stupid brain! Thank you in advance!
Answer by fcabanski(385) (Show Source):
You can put this solution on YOUR website!For mixed numbers, either deal with the whole number part and fraction part separately, then combine, or turn the mixed numbers into fractions.
Let's try dealing with the whole numbers and fractions separately.
2-5 = -3
3/8 - 3/4 | Find a LCD between 4 and 8, that's 8.
3/8 - 6/8 = -3/8
Combine: -3 + -3/8 = -3 and 3/8
Turn both to fractions:
2 and 3/8 = (8*2+3)/8 = 19/8
5 and 3/4 = (4*5+3)/4 = 23/4 | LCD is 8
19/8 - 46/8 = -27/8 = -3 and 3/8
If you need help understanding math so you can solve these problems yourself, then one on one online tutoring is the answer ($30/hr). If you need faster solutions with guaranteed detailed answers, then go with personal problem solving ($3.50-$5.50 per problem). Contact me at fcabanski@hotmail.com
Question 563487: 7/2/3
Answer by josmiceli(6782) (Show Source):
Question 563373: Help me anser this question....
Which of these equations has a solution of 3/4?
A. 1/6z = 1/8
B. 3y = 4
C. 3/8 = 1/4
D. 8= 6x
Answer by nicky429(3)  (Show Source):
Question 563099: whats the answer to 3[3+5(8-4)]
Answer by stanbon(48525) (Show Source):
Question 562689: Having trouble can't remember how to work this problem out.
4(5n-7)=32
Answer by issacodegard(60)  (Show Source):
You can put this solution on YOUR website!Hi, first we distribute the 4 to get,
4*5n-4*7=32
20n-28=32
Add 28 to both sides:
20n-28+28=32+28
20n=60
Divide by 20 on both sides:
20n/20=60/20
n=3
Question 562430: solve 6 1/9 - 3 1/3 show your work
Answer by jlshires(17) (Show Source):
You can put this solution on YOUR website!The first thing you need to do is turn the entire thing into a fraction
6 1/9- to get rid of the 6, multiply the bottom of the fraction with the coefficient (9*6) which gives you 54. Then add that to whatever the top of the fraction is (54+1) in this case
6 1/9 is equal to 55/9
Do the same thing with 3 1/3- multiply 3*3, to get 9. Add 9+1 (the top number)and the fraction is 10/3
In order to subtract two fractions, they have to have the same denominator (the bottom number.) Luckily in this case, you can get them both to 9. Your first number is already there, to get the second number there all you have to do is multply by 3. Remember that when you multiply fractions, you are multiplying both the top and the bottom
so 10/3= 10*3/3*3= 30/9
your problem is now
55/9-30/9. When you subtract fractions you only subtract the top numbers, and the bottom stays the same:
(55-30)/9= 25/9
your answer is 25/9
Question 562190: please help me solve: 15 3/4 divided by 1 3/4
Answer by ankor@dixie-net.com(12692) (Show Source):
You can put this solution on YOUR website!solve: 15 3/4 divided by 1 3/4
convert them to improper fractions:
15*4 + 3 = 
and
4*1 + 3 = 
:
divided by
Remember the rule, "Invert the dividing fraction and multiply"
:
*  =  = 9
:
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