# Questions on Algebra: Numeric Fractions answered by real tutors!

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Question 340340: What is: 2 1/6 divided by 3 1/3 times 6 1/4 divided by 4 1/3?
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Given:

Mentally multiply the fraction on the left by 6/6 and the fraction on the right by 12/12 to get:

Simplify

Question 994022: A zoo has 4 types of birds. There are 28 birds in the zoo. There are 5 blackbirds, 7 sparrows, 12 hummingbirds, and the rest are finches. What fractional part of the birds are blackbirds or sparrows?
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There are 5 blackbirds and 7 sparrows. So 12 birds are blackbirds or sparrows
There are 28 total birds.
Thus = are blackbirds or sparrows

Question 993771: What is 4 2/9 divided by 3 1/6?

Found 2 solutions by bwpbruce, stanbon:
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Given:

Multiply by 18/18:

Distribute to get:

Factor:

Cancel:

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What is 4 2/9 divided by 3 1/6 ?
----
[(9*4+2)/9] / [(6*3+1)/6]
-----
= [38/9] / [19/6]
-----
= (38/9) * (6/19)
-----
= (2/3)*(2/1)
-----
= 4/3
----------
Cheers,
Stan H.
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Question 387618: I am trying to solve this problem: Divide 17/8 divided by 4/9
Supposedly the answer is a big 15 little 3 over a big 3 little 2.
I have tried to solve it by putting 17/8 * 9/4 = 153/32
Then I went further and divided that to get 4 25/32.
I also divded 17/8 and 4/9 and got 2.125 and 0.444 and got 4.786036
Then I tried 17 / 4 = 4.25 and 8 /9 = 0.888 and then and still got 4.786036
Then 17/8 * 9/4 and got 153/32 = 4.78125
It seems like the answer has a whole number and fraction on top and a whole number and fraction on bottom.
I do not understand how the answer is big 15 little 3 over big 3 little 2. I am not sure exactly what type of math question it is. All I can figure is dividing fractions.

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Given:

Multiply by 72/72:

Cross Cancel and simplify to get:

Multiply:

Optionally, express the result as a mixed fraction:

Question 993975: suppose a cake is divided into three portions,one for you.one for your friend and one four your neighbor.if you get twice as much as your friend get twice as much as your neighbor,what portion of the cake do you get?
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suppose a cake is divided into three portions,one for you.one for your friend and one for your neighbor.
if you get twice as much as your friend and your friend gets twice as much as your neighbor,what portion of the cake do you get?
---------
Let neighbor get x
Friend gets 2x
You get 4x
-----
Ans:: 4x/(7x) = 4/7 (portion you get)
------------
Cheers,
Stan H.
----------

Question 993661:
1 + 2/3 / 1 - 2/3 the symbol in the middle means division the answer is 5 but I dont understand how. Could someone show me step by step.

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Hi there,
Take the top equation 1 + 2/3
This really 1/1 + 2/3
Common denominator 3
obtained by multiplying
1 and 3
Now cross multiply
3 + 2/3 = 5/3
...............
Take the bottom equation 1 - 2/3
This is really 1/1 - 2/3
Common denominator 3
obtained by multiplying
1 and 3
Now cross multiply
3 - 2/3 = 1/3
................
You now have 5/3 on the top
and 1/3 on the bottom
Because 1/3 is dividing
it is turned upside down
You now have
5/3 x 3/1
3's cancel out
= 5/1 or 5
Hope this helps :-)

Question 993662: I need help on this problem the answer is 11 2/3 but I dont understand it. Can someone write the solution step by step. 3+2(4 1/3)
Thank you!

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Hi there,
First of all multiply 4 1/3 by 2
this equals 8 2/3
Then add 3 to 8 2/3
this equals 11 2/3
Hope this helps :-)

Question 993526: trouble solving this...
2 1/2 + 3/4 times 2 1/2 - 3/4 I know the answer is 5 11/16 but I dont know how my teacher did this...can you show me step by step?
Thank you!

Found 2 solutions by MathTherapy, josgarithmetic:
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trouble solving this...
2 1/2 + 3/4 times 2 1/2 - 3/4 I know the answer is 5 11/16 but I dont know how my teacher did this...can you show me step by step?
Thank you!
Why would someone try to help you and not care about getting the answer you supplied? That's so ridiculous!!

------ Changing fractions to LCD, 4
________, or



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You described

Lowest common denominator will be 8; and you might or might not need to see how that works.

Converting mixed numbers into improper fractions.

If not what you expected, then show or say exactly what you actually are starting with.

Question 993443: What is 11/12 divided by - 11/12
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John

My calculator said it, I believe it, that settles it

Question 993291: -28÷(-2 4/7)
Found 2 solutions by MathTherapy, addingup:
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-28÷(-2 4/7)


------- CHANGE & FLIP
------- Cancelling out 2 in numerator and denominator
_______, or



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-28÷(-2 4/7) multiply all sides by 7:
-196÷(-14+4)
-196÷-10= 19.6 or 19(0.6/1)= 19(6/10), now divide both 6/10 by 2= 19 3/5

Question 1817: How to divide a whole number by a fraction
Example 36 divide by 2/3
Thank you

Found 2 solutions by MathTherapy, bwpbruce:
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How to divide a whole number by a fraction
Example 36 divide by 2/3
Thank you
________
------ CHANGE & FLIP
-------> 18(3), or



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Given:

Steps:

First, multiply the entire fraction by 3/3 as follows:

Next, cancel factors factors of 1 as appropriate:

Rewrite as follows:
*

Simplify:

Result:

Question 992793: 12/14×6/9×4
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.
.. = .. = = .

It is elementary.

Question 687163: how to you solve this problem: 2 2/3 divided by 1 3/5 equals what?
You are given:
÷.

Rewrite in Vertical format:
.

Multiply the numerator and denominator of the large fraction by the LCM (15) of denominators (3 and 5) of the mixed numbers:

Use the distributive property to expand the fraction. You should end up with the following afterward:

Express the result as a mixed number by doing the following:
Rewrite the fraction in the following form

Use the fraction rule to express the fraction as a sum of two fractions

Simplify to express the result as a Mixed fraction:

Question 7214: You are given:
÷.

Rewrite in Vertical format:
.

Multiply the numerator and denominator of the large fraction by the LCM (10) of denominators (2 and 5) of the mixed numbers:

Use the distributive property to expand the fraction. You should end up with the following afterward:

Express the result as a mixed number by doing the following:
Rewrite the fraction in the following form

Use the fraction rule to express the fraction as a sum of two fractions

Simplify to express the result as a Mixed fraction:

Question 992487: For f(x)=1/2x, determine:
f(1)-f(3)

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.
. - . = = = -1.

If it is not a joke then what is this?

Question 991908: A certain recipe asks for 4/5 cup of granola how much is needed to make 2/9 of a recipe
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A certain recipe asks for 4/5 cup of granola
how much is needed to make 2/9 of a recipe
-------
Ans: (4/5)(2/9) = 8/45 = 0.1778 cup
-------------
Cheers,
Stan H.
------------

Question 991693: y=2/3x-6
2x-3y=12

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Substitute,

False, there is no solution.
These are parallel lines.

Question 991525: Find a factor pair of 10 that adds up to -7?
find a factor pair of 12 that adds to -13?
find a factor pair of 20 that adds to -9?
find all integer factor pairs of -10?
find all integer pairs of -12?
find all integer pairs of -20?
find all integer pairs of -24?
find two factor pairs of -24 that add to -10
find a factor pair of -10 that adds to 9
find a factor pair of -12 that adds to 1
find a factor pair of -20 that adds to -8
I don't see the right type of algebra topic but this is integers

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I'll do one and you can do the rest the same way.
Look at factors of 10 and calculate the sum.
,=
, =
,=
,=
.
.
.
(,)

Question 986949: how much is 50 million more than nine million nine hundred ninety one thousand nine hundred ninety nine?
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.
50,000,000 - 9,991,999 = 40,008,001.

Question 986947: how much is 50 million more than nine million nine hundred ninety one thousand nine hundred ninety nine ?
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.
50,000,000 - 9,991,999 = 40,008,001.

Question 991481: 3 1/8+2 1/5=
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3 5/40+2 8/40=5 13/40

Question 991447: Hello Tutors,
In class today (pre algebra) teacher wrote on board 3 2/3 - 2 3/4 I know the answer is 11/12 but how did he get there...he wrote 44/12 - 33/12 to get 11/12 but how did he get 44 and 33?

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and are mixed numbers and, to subtract them, we convert both into improper fractions
==
= =
to subtract we need find common denominator for and and it is
so,

Question 991374: 3/5+1/10 in simplest form

Question 991297: the probability of getting the product a perfect (square of a natural numbers) when two dice are thrown together,is
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the perfect squares are:
1*1 = 1
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25
6*6 = 36
the number of possible products when you throw 2 dice is equal to 6 * 6 = 36

they are:

1*1 = 1 ***
1*2 = 2
1*3 = 3
1*4 = 4 ***
1*5 = 5
1*6 = 6
2*1 = 2
2*2 = 4 ***
2*3 = 6
2*4 = 8
2*5 = 10
2*6 = 12
3*1 = 3
3*2 = 6
3*3 = 9 ***
3*4 = 12
3*5 = 15
3*6 = 18
4*1 = 4 ***
4*2 = 8
4*3 = 12
4*4 = 16 ***
4*5 = 20
4*6 = 24
5*1 = 5
5*2 = 10
5*3 = 15
5*4 = 20
5*5 = 25 ***
5*6 = 30
6*1 = 6
6*2 = 12
6*3 = 18
6*4 = 24
6*5 = 30
6*6 = 36 ***

out of these only 8 generate a perfect square.

the probbility of getting a perfect square is therefore 8/36 = 4/18 = 2/9.

note that there are more possible factors of two number that equal a perfect square, but the highest factor has to be less than or equal to 6 which is the maximum number possible on one 6 sided die.

for example:

16 = 1*16 or 2*8 ot 4*4 or 8*2 or 16*1

out of all these factors, only 1 is possible, which is 4*4.

the only one where all possible factors can be considered is 4.

4 is the product of 1*4 or 2*2 or 4*1.

all these factors are possible when you are throwing 2 die.

Question 991256: 5/6-2/9=

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.....first find common denominator; for and it is => and
=
=
=
=...simplify, divide both numerator and denominator by
=

Question 991007: 2/3 of 27 is equal to 6/5 of what number?
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.
of the number 15.

Question 990571: 1/2b+1+1/3b=-23/12

Question 989517: 0.75x-3.2=0.55-0.5x
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Even though you were too lazy to actually explain what you wanted, I'm going to take a guess that you are looking to solve the equation for . So here is how to do it:

1. Add 0.5x to both sides and collect like terms.

2. Add 3.2 to both sides and collect like terms.

3. Multiply both sides by the reciprocal of the coefficient on

John

My calculator said it, I believe it, that settles it

Question 989365: In a process a system absorbes heat 710J and does work.the change in internal energy for the process is 400J.what is work done by the system?
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You posted a physics problem. This is a mathematics website. Do you try to buy lumber at a supermarket or milk at a hardware store?

John

My calculator said it, I believe it, that settles it

Question 989118: in a class of 90 students. 67 received a grade of A. what fraction of students did not receive an A?
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You can simplify for yourself

John

My calculator said it, I believe it, that settles it

Question 989010: 1/2+(2/3/3/4)-(4/5*5/6)
a. 13/18
b. 7/9
c. 5/6
d. 1/16
e. 17/27
Sol'n
1/2+(2/3)(4/3)-20/30
(1/2)+(8/9)-(2/3)
(9/18)+(16/18)-(12/18)
=13/18=a

Question 988529: 2/5+3/4+4/6=?
Found 2 solutions by TigerAlgebra, macston:
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Convert to common denominator.

Question 988399: -3 1/2 + (-7 2/5) + (-9 3/10)
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-3 5/10-7 4/10-9 3/10=-20 1/2

Question 988400: 1 1/4 + 8 2/5 + (-3 1/2)
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two ways
use decimals or common denominators
1.25+8.40-3.5=6.15=6 3/20
---------------------------
1 5/20+8 8/20-3 10/20=6 3/20

Question 988306: (2x-7/x)-(1/2)=1
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.
.
Multiply each side by x.
.
Subtract 1.5x from each side
.
.
Multiply each side by 2.
.

.

Question 988156: (6/x+2)+(5/x-1)=(3x/x^2+x-2)
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.

.
Multiply through by x+2.
.
Multiply through by x-1.
.

.

.

.

.

.
CHECK:
.

.

Question 988148: 2/x=5/x-3/4
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.
= - ,

= - ,

= .

= ,

= ,

x = 4.

Question 988153: 2/3x-4=5/2x
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Ambiguous.

Question 988151: 2x-7/x-1/2=1
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Not clear, as in ambiguous.
Parentheses are free.

Question 988002:
 18        21       24
3         9        3
6         4        8
----     ----     ----
21        26        ?   

Answer by Edwin McCravy(13211)   (Show Source):
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  18   21   24
3    9    3
6    4    8
---- ---- ----
21 26  ?

How you go from 18, 3, and 6 to get 21 is:
1. Find the absolute difference between the second and third numbers 3 and 6,
which is |3-6| or 3
2. Add that to the first number 18, and get 21.

How you go from 21, 9, and 4 to get 26 is:
1. Find the absolute difference between the second and third numbers 9 and 4,
which is |9-4| or 5
2. Add that to the first number 21, and get 26.

So that's the pattern, so with the numbers 24, 3, and 8, we:

1. Find the absolute difference between the second and third numbers 3 and 8,
which is |3-8| or 5.
2. Add that to the first number 24, and get 29.

Edwin