Questions on Algebra: Numeric Fractions answered by real tutors!

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Tutors Answer Your Questions about Numeric Fractions (FREE)


Question 751161: What is a numeric fraction and a rational expression? what do they have in common and what is different about them?
Answer by solver91311(16885) About Me  (Show Source):
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Numeric fractions are one number divided by another. Rational expressions are one mathematical expression divided by another, and said mathematical expressions may or may not contain variables. Since numbers are, in and of themselves, mathematical expressions, all numeric fractions, given that the numbers are rational themselves, are rational expressions. Hence the term numeric fractions is redundant. By the way, the term "rational" has nothing whatever to do with sanity. A rationial number is one that can be expressed as the ratio of two integers.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism



Question 750942: N+6=6x(2+3)
Answer by Alan3354(30993) About Me  (Show Source):
You can put this solution on YOUR website!
N+6=6x(2+3)
----------
Do you have a question?


Question 750819: Can you give me some examples of taking a root and rising to a power.
Answer by josgarithmetic(1516) About Me  (Show Source):
You can put this solution on YOUR website!
A very simple example, extremely simple:

Raising to a power.
3%5E4=+3%2A3%2A3%2A3=9%2A9=81.

Taking a root:
sqrt%2836%29=sqrt%286%2A6%29=6.
The "two" root. Called the "square" root.

Back to the 81, you could find the fourth root of 81 and this will be 3.
root%284%2C81%29=3.


Question 750818: how can you make sure that a rational expression does not get undefined?
Answer by jim_thompson5910(28595) About Me  (Show Source):
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To make sure it never gets undefined, you have to exclude all values of the variable that make the denominator zero.


Question 750529: 8s - 10 = 6 show work answer
Answer by rfer(12657) About Me  (Show Source):
You can put this solution on YOUR website!
8s=16
s=16/8
s=2


Question 750406: a recipie asks for 5/7 of a cup of granola oil. How much is needed to make 3/4 of a recipe?
Answer by checkley79(3050) About Me  (Show Source):
You can put this solution on YOUR website!
3/4*5/7=15/28=.536 ANS.


Question 750416: What is "x" in 8/9x+5=-3
Answer by checkley79(3050) About Me  (Show Source):
You can put this solution on YOUR website!
8/9x+5=-3
8X/9=-3-5
8X/9=-8 CROSS MULTIPLY.
8X=-8*9
8X=-72
X=-72/8
X=-9 ANS.


Question 749414: 1/2-1/3=3/6 - 2/6= 1/6

Answer by kibauu(29) About Me  (Show Source):

Question 749251: how i can solve this problems
7/9+17/18+5/6

Found 2 solutions by stanbon, solver91311:
Answer by stanbon(57342) About Me  (Show Source):
You can put this solution on YOUR website!
7/9+17/18+5/6
---------
least common denominator: 18
------
(14/18) + (17/18) + (15/18)
------
= (14 + 17 + 15)/18
------
= (46/18)
----
= 2 10/18
----
= 2 5/9
=====================
Cheers,
Stan H.
=======================

Answer by solver91311(16885) About Me  (Show Source):
You can put this solution on YOUR website!


Apply the common denominator of 18. Once you have all of the fractions with the same denominator, add the numerators. Once you have a single fraction, determine whether or not there are any factors common to both the numerator and the denominator. If so, reduce the fraction by eliminating the common factor(s).

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism




Question 748656:
Answer by lenny460(766) About Me  (Show Source):
You can put this solution on YOUR website!
Where is your question ?


Question 748346: how do you factor and sole this equation
"4x+2x+xy+y"?

Answer by josgarithmetic(1516) About Me  (Show Source):
You can put this solution on YOUR website!
You want just to factor the expression. three terms using x, one term using y, one term using both x and y. Not so clear until you see that two terms have x to power 1 and two OTHER terms have y to power 1.

4x+2x+xy+y
2x(2+1)+xy+y
6x+xy+y...
Not really worth any factoring. Even from the beginning, you would want to combine the two first terms having just the x variable:

NO factoring....
highlight%286x%2Bxy%2By%29


Question 748341: -3/45+-1/5=
Answer by stanbon(57342) About Me  (Show Source):
You can put this solution on YOUR website!
-3/45+-1/5
---------------
= (-1/15)-(3/15)
-----------------
= -4/15
============
Cheers,
Stan H.
----------------


Question 747440:

what should be madded to 5 4/7 to get 15

Answer by checkley79(3050) About Me  (Show Source):
You can put this solution on YOUR website!
15-5 4/7
15-(7*5+4)/7
15-(35+4)/7
15-39/7
(15*7-39)/7
(105-39)/7
66/7=9 3/7 ANS


Question 747305: I really don't understand how to simplify the follwing: (4x+16)/(x^2+4x)
A step by step solution would be much appreciated, thanks.

Answer by stanbon(57342) About Me  (Show Source):
You can put this solution on YOUR website!
simplify the follwing: (4x+16)/(x^2+4x)
------
Factor:
[4(x+4)]/[x(x+4)]
-----
= 4/x
======
Cheers,
Stan H.
========


Question 745978: How would you solve for "a" when b=(c-3)/(a+4)
Answer by tommyt3rd(542) About Me  (Show Source):

Question 743734: if 1=6, 2=3, 3=4, 4=5, 5=6, 6=?
Answer by tommyt3rd(542) About Me  (Show Source):
You can put this solution on YOUR website!
Unfortunately the way you've written the question is not clear. 1 and 6 are not equal, nor are any of the other equations true. This implies that we cannot assume that "=" means "equals" Therefore any of the rules we know about "equals" cannot be trusted.
Please re-submit your question with maybe more details or clarification

:)


Question 746883: Hi,
I need help with my homework here it is:
please cut these out and stick them in your book.
next to these, write them as a proper fractions=9/4 = 4 1/2
7/2
10/5
8/3
15/5
16/7
6/4
3/2
23/8
next to these write them as top heavy fractions=2 1/2=5/2
3
6 1/2
2 3/6
1 3/8
3 1/3
1 2/3
3 1/2
4 3/4

Answer by Cromlix(337) About Me  (Show Source):
You can put this solution on YOUR website!
7/2 3 1/2
10/5 2
8/3 2 2/3
15/5 3
16/7 2 2/7
6/4 1 1/2
3/2 1 1/2
23/8 2 7/8
To change to proper fractions
divide the bottom number into the top
number this gives you the whole number
and the remainder goes over the bottom number.
7/2 => 7/2 = 3 remainder 1 = 3 1/2
next to these write them as top heavy fractions = 2 1/2 =5/2
3 3/1
6 1/2 13/2
2 3/6 15/6
1 3/8 11/8
3 1/3 10/3
1 2/3 5/3
3 1/2 7/2
4 3/4 19/4
to create the top heavy fractions:
multiply the bottom number of the fraction
by the whole number then add the top number
of the fraction 2 3/6 => 2 x 6 +3 = 15/6


Question 746781: one of the factors of (a^-b^)(c^-d^)-4abcd
Answer by Edwin McCravy(8909) About Me  (Show Source):
You can put this solution on YOUR website!
Sorry but a^, b^, c^, and d^ do not make any sense 
when there is no exponent following the ^

a^2 means a2 and b^3 means b3.

However a^ or b^ doesn't mean anything.  Tell us 
what you really mean in the thank you note and I'll get 
back to you.

Edwin


Question 746474: what is the numerical expression
1/4+3/8(2+1/3)-1/2 equal to

Answer by rfer(12657) About Me  (Show Source):
You can put this solution on YOUR website!
1/4+3/8*7/3-1/2=
1/4+21/24-1/2=
6/24+21/24-12/24=15/25=5/8


Question 746413: 2/5 divided by 16/30
Answer by tommyt3rd(542) About Me  (Show Source):
You can put this solution on YOUR website!
First let's reduce:
%0D%0A%282%2F5%29%2F%2816%2F30%29 becomes %282%2F5%29%2F%288%2F15%29

then we convert to multiplication by inverting the divisor:

%0D%0A%282%2F5%29%2A%2815%2F8%29%0D%0A%0D%0A

or

%0D%0A%282%2A15%29%2F%285%2A8%29%0D%0A

Factor before we multiply...

%0D%0A%0D%0A%281%2A3%29%2A%281%2A4%29%0D%0A
which is 3/4

:)


Question 746268: If 5x - 17 = -x + 7, then x =
Answer by lenny460(766) About Me  (Show Source):
You can put this solution on YOUR website!
If 5x - 17 = -x + 7, then x =
Add 1x to each side of the equation.
5x - 17 + 1x = -1x + 7 + 1x
Combine like terms:
5x + 1x = 6x
-1x + 1x = 0
We now have:
6x - 17 = 7
Add 17 to each side of the equation.
6x - 17 + 17 = 7 + 17
Combine like terms:
-17 + 17 = 0
7 + 17 = 24

Therefore:
6x = 24
Divide each side by 6
6x/6 = 24/6
x = 4

Answer:
x = 4






Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com


Question 746021: how to do 2/5X = -20
Answer by checkley79(3050) About Me  (Show Source):
You can put this solution on YOUR website!
2/5X = -20 CROSS MULTIPLY.
5X*-20=2
-100X=2
X=2/-100
X=.02 ANS.
OR
(2/5)X = -20
2X/5=-20
2X=5*-20
2X=-100
X=-100/2
X=-50 ANS.


Question 745844: how do i solve i^143
Answer by savvyhush23(50) About Me  (Show Source):
You can put this solution on YOUR website!
how do i solve i^143
This problem is a complex number.
Let set up our equation: i=sqrt%28-1%29
i%5E2=-1,i%5E3=-i
The problem: answer


Question 745659: a water tank measure 120 feet in diameter and is 50 feet high. how many cubic feet of water can it hold, to the nearest cubic foot?
Answer by Alan3354(30993) About Me  (Show Source):
You can put this solution on YOUR website!
a water tank measure 120 feet in diameter and is 50 feet high. how many cubic feet of water can it hold, to the nearest cubic foot?
-----------
r = 120/2 = 60 ft
Vol+=+pi%2Ar%5E2%2Ah


Question 745447: Hey im having trouble with this question could u step by step show me how to get the answer plz and thank u
Determine two values of b so that each expression can be factor?
a.) x^2 + bx + 12
Determine two values of c so that each expression can be factor?
a.) x^2 + 6x + c
Thanks for ur help

Answer by savvyhush23(50) About Me  (Show Source):
You can put this solution on YOUR website!
a) think any factor of 12, let say (3,4) or (2,6) and (1,12) this is the possible value of x since it is a quadratic equation,
The factor: %28x%2B3%29%28x%2B4%29=x%5E2%2B3x%2B4x%2B12=x%5E2%2B7x%2B12 so b here is 7
do this to other 2 possible value of x, you will get b=7 and b=13
b)this time think 2 numbers and their sum must be 6, let say (3,3) and (5,1)
again this is the possible value of x.
The factor: %28x%2B3%29%28x%2B3%29=x%5E2%2B3x%2B3x%2B9=x%5E2%2B6x%2B9 so c here is 9
do this to other possible value of x, you will get c=5


Question 745163: Can u show me the steps to do this equations please
(6q + 5r)(7q - 12r)
I one it's = 42q^2 - 37rq - 60r^2
But how do you get 37rq
Thanks for helping:)

Answer by jim_thompson5910(28595) About Me  (Show Source):
You can put this solution on YOUR website!
Use the idea that

(a+b)(c+d) = a(c+d) + b(c+d)

to get this:

(6q + 5r)(7q - 12r)

6q(7q - 12r) + 5r(7q - 12r)

6q(7q) + 6q(-12r) + 5r(7q) + 5r(-12r)

42q^2 - 72rq + 35rq - 60r^2

42q^2 + (-72rq + 35rq) - 60r^2

42q^2 + (-72 + 35)rq - 60r^2

42q^2 - 37rq - 60r^2

Final Answer: 42q^2 - 37rq - 60r^2



Question 745043: algebraic fractions 5/8 - 3/10 =
Answer by mykailao(6) About Me  (Show Source):
You can put this solution on YOUR website!
5/8 - 3/10
Make their denominators equal first. Their LCM (least common multiple) is 40, so 40 is going to be the denominator.
5/8 = 25/40 (40/8 is 5. 5x5=25)
3/10 = 12/40 (40/10 is 4. 4x3=12)
You can now subtract because they have the same denominator. 25-12 = 13 is the numerator.
Therefore the answer is 13/40.


Question 744529: Bella is 49 and 7/8 ths inches tall her friend is 3/8 ths taller than she is what is the height of the friend?
Answer by lynnlo(4164) About Me  (Show Source):

Question 744454: 1 - 5/6 how do I subtract or add a whole number with a fraction

Answer by josgarithmetic(1516) About Me  (Show Source):
You can put this solution on YOUR website!
No need posting the same thing twice. 1=6%2F6, so you have 11%2F6 and you want and CAN subtract 5%2F6 from 11%2F6.


Question 744457: 1 - 5/6 how do I add and subtract a fraction from a whole number
Answer by josgarithmetic(1516) About Me  (Show Source):
You can put this solution on YOUR website!
This is the same as recognizing and renaming according to place-value. On the whole number side, you have 1. On the less-than-whole side you have denominations of 1%2F6. CUT the 1 into 6%2F6.

6%2F6%2B5%2F6=11%2F6.
Now, you can subtract 5%2F6 from 11%2F6.


Question 743217: 8-4/5f>-4-2f

Answer by stanbon(57342) About Me  (Show Source):
You can put this solution on YOUR website!
8-4/5f > -4-2f
---
Comment:
You don't have to fool with fractions.
------
Multiply thru by 5 to get rid of the fraction:
40 - 4f > -20 -10f
-----
6f > -60
-----
f > -10
=====================
Cheers,
Stan H.


Question 743211: 5 4/5 - 3 n/5 = 2 1/4 whats the n =
Answer by rfer(12657) About Me  (Show Source):
You can put this solution on YOUR website!
29/5-3n/5=9/2
-3n/5=9/2-29/5
-3n/5=45/10-58/10
-3n/5=-13
-3n=-13*5
-3n=-65
n=-65/-3
n=21 7/10


Question 742859: 2/(2/3)-(2/3)/2
Answer by stanbon(57342) About Me  (Show Source):
You can put this solution on YOUR website!
2/(2/3)-(2/3)/2
----
= 6/2 - 4/3
---
= (18-8)/6
----
= 10/6
----
= 5/3
----
= 1 2/3
=====================
Cheers,
Stan H.
===========================


Question 741993: How do we show work for this √(315) when the answer is 17.74..
Answer by richwmiller(9135) About Me  (Show Source):
You can put this solution on YOUR website!
factor 315
3*3*5*7
3sqrt(35)
3*5.916=17.748


Question 742051: Steps to convert 83.8 to a mixed numbers
Answer by richwmiller(9135) About Me  (Show Source):

Question 741570: Please help me solve m+n over m-n / 3m+3n over m^-n^
I hope I wrote that okay... Thank you!

Answer by stanbon(57342) About Me  (Show Source):
You can put this solution on YOUR website!
solve m+n over m-n / 3m+3n over m^-n^
------
[(m+n)/(m-n)]/[(3(m+n)/(m-n)]
----------
= [(m+n)/(m-n)]
----------
Cancel factors common to numerator and denominator to get:
----------
= 1/3
===============
Cheers,
Stan H.
==================


Question 741113: 12-2(6)/1-5
Answer by only4christ2(12) About Me  (Show Source):
You can put this solution on YOUR website!
Use order of operations:
Remove parenthesis first
12-2(6) / 1-5
12-12 / -4 now divide: -12/-4 = 3 ( I am assuming that 1-5 is together as if it were in a parenthesis); if not, I will work it as if there is none
12 + 3
15
OR
12 - 12 / 1 - 5...here, you would divide next: -12/1 = -12
12 - 12 - 5...now work from left to right
0 - 5 = -5


Question 741114: 6(x-8)=36-24
Answer by only4christ2(12) About Me  (Show Source):
You can put this solution on YOUR website!
Distribute: 6(x-8) = 36-24
6x - 48 = 12
6x = 12 + 48
6x = 60
x = 10


Question 740376: Kindly assist with the solution to this fraction : Find the missing values
18/30 = 3/X
Find the value of X

Answer by MathLover1(6632) About Me  (Show Source):
You can put this solution on YOUR website!

18%2F30+=+3%2Fx....cross multiply

18%2Ax+=+3%2A30

18x+=+900

x+=+900%2F18

x+=+50


Question 740245: 2/5=5/n solve for n
Answer by MathLover1(6632) About Me  (Show Source):
You can put this solution on YOUR website!

2%2F5=5%2Fn...cross multiply

2n=5%2A5
2n=25
n=25%2F2
n=12.5


Question 739891: How can i solve this?
4/(x^4+x^2+1) + (x^2+x-1)/(x^2-x+1) + (x^2-x-1)/(x^2+x+1)
The answer is 2!
I need the process

Answer by MathLover1(6632) About Me  (Show Source):
You can put this solution on YOUR website!
....common denominator


=....multiply all in numerator

=
=

=
=

=2%28x%5E8%2B2x%5E6%2B3x%5E4%2B2x%5E2%2B1+%29%2F%28x%5E8%2B2x%5E6%2B3x%5E4%2B2x%5E2%2B1%29

=

=2


Question 739698: whats 3/7 times 5/4 in fraction form?
Answer by lenny460(766) About Me  (Show Source):
You can put this solution on YOUR website!
What's 3/7 times 5/4 in fraction form ?

3/7 * 5 * 4
3 * 5 = 15
7 * 4 = 28


Answer:
15/28





Lennox Obuong
Algebra Tutor
Nairobi, Kenya


Question 739574: ow Does My eyes look ??
Answer by Alan3354(30993) About Me  (Show Source):
You can put this solution on YOUR website!
ow Does My eyes look ??
----
idk


Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210