SOLUTION: How do I reduce this to simplest terms? 7m/2m+14 . 3m+21/9m
I tried dividing by m in the first part of the equation and wasn
Algebra.Com
Question 215108: How do I reduce this to simplest terms? 7m/2m+14 . 3m+21/9m
I tried dividing by m in the first part of the equation and wasn't sure if i should use the m as the greatest common factor like m(7) over m( 2+14) is that right at all? I did the same thing on the other part of the equation dividing by 3m getting 3m(1+21) over 3m(3). Can you tell me if I am on the right track, and how to correctly solve this equation?
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.
Factor to get
Factor to get
Factor to get
Combine the fractions.
Highlight the common terms.
Cancel out the common terms.
Simplify
Multiply
So simplifies to
In other words,
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do I reduce this to simplest terms? 7m/2m+14 . 3m+21/9m
------------------------
General Rule: To reduce a fraction you must find one or more FACTORS
that are common to the numerator and the denominator.
-----------------------
Your Problems:
7m/2m+14
You need to factor the denominator to get:
7m/(2(m+7))
---
There is no factor common to the numerator and the denominator
so you cannot reduce the fraction.
===========================================
3m+21/9m
You need to factor the numerator to get:
(3(m+7))/9m
A factor that is common to the numerator and denominator is "3".
Cancel the 3 that is common to get
= (m+7)/3m
That is as far as you can go.
-----------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
Problem is:
{{{(8)/(2m+1)-(1)/(m-2)=(5)/(2m+1)}}}
I've tried several ways, but can't... (answered by Alan3354,richwmiller)
In math were doing 7th grade combining like terms. On my homework I got stuck on a... (answered by richard1234,Hawksfan)
The directions say: Solve the equation. Check your solution.
{{{2m/(m+4) = 3/(m-1)}}}
(answered by stanbon,josmiceli)
How do you reduce the following problem into A+Bi form:
(i/(1-i)) + ((1-i)/i)
I... (answered by longjonsilver)
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
-15m = (answered by josgarithmetic,rothauserc)
I am removing factors of 1 in this equation 7m^2+7m/14m^2+49m this is the answer I came... (answered by Alan3354)
I dont understand what I am doing wrong, as I am off by a number or a value, or my... (answered by Alan3354)
how do i do m+3divided by m^3power+3m^2-7m-21
it is long divison with... (answered by solver91311)
I am only getting half of the equation right. I am not sure how the answer is coming up... (answered by ankor@dixie-net.com)