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

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 Algebra: Numeric Fractions Solvers Lessons Answers archive Quiz In Depth

Question 751161: What is a numeric fraction and a rational expression? what do they have in common and what is different about them?
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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

Question 750942: N+6=6x(2+3)
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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.
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A very simple example, extremely simple:

Raising to a power.
.

Taking a root:
.
The "two" root. Called the "square" root.

Back to the 81, you could find the fourth root of 81 and this will be 3.
.

Question 750818: how can you make sure that a rational expression does not get undefined?
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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
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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?
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3/4*5/7=15/28=.536 ANS.

Question 750416: What is "x" in 8/9x+5=-3
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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

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

Found 2 solutions by stanbon, solver91311:
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.
=======================

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

Question 748656:
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Question 748346: how do you factor and sole this equation
"4x+2x+xy+y"?

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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....

Question 748341: -3/45+-1/5=
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-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

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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.

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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)

Question 743734: if 1=6, 2=3, 3=4, 4=5, 5=6, 6=?
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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.

:)

Question 746883: Hi,
I need help with my homework here it is:
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

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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)   (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

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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
You can put this solution on YOUR website!
First let's reduce:
becomes

then we convert to multiplication by inverting the divisor:

or

Factor before we multiply...

which is 3/4

:)

Question 746268: If 5x - 17 = -x + 7, then x =
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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

x = 4

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

Question 746021: how to do 2/5X = -20
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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
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how do i solve i^143
This problem is a complex number.
Let set up our equation:
,

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?
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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

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

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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: 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: 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:)

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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 =
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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.

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?

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

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No need posting the same thing twice. , so you have and you want and CAN subtract from .

Question 744457: 1 - 5/6 how do I add and subtract a fraction from a whole number
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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 . CUT the 1 into .

.
Now, you can subtract from .

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

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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 =
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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
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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..
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factor 315
3*3*5*7
3sqrt(35)
3*5.916=17.748

Question 742051: Steps to convert 83.8 to a mixed numbers

I hope I wrote that okay... Thank you!

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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
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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
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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

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....cross multiply

Question 740245: 2/5=5/n solve for n
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...cross multiply

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)
I need the process

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....common denominator

=....multiply all in numerator

=
=

=
=

=

=

=

Question 739698: whats 3/7 times 5/4 in fraction form?
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What's 3/7 times 5/4 in fraction form ?

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

15/28

Lennox Obuong
Algebra Tutor
Nairobi, Kenya

Question 739574: ow Does My eyes look ??