SOLUTION: How can I simplify this equation? 7a/3-8/5+4a/15 Thanks, tam

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Question 1088559: How can I simplify this equation?
7a/3-8/5+4a/15
Thanks, tam
Found 3 solutions by MathLover1, ikleyn, ankor@dixie-net.com:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

7a%2F3-8%2F5%2B4a%2F15..to simplify, first find common denominator; for 3,5, and 15 it is 15
%285%2A7a%29%2F%285%2A3%29-%283%2A8%29%2F%283%2A5%29%2B4a%2F15
35a%2F15-24%2F15%2B4a%2F15
%2835a%2B4a%29%2F15-24%2F15
39a%2F15-24%2F15
%283%2F15%29%2813a+-+8%29
%28cross%283%291%2Fcross%2815%295%29%2813a+-+8%29
%281%2F5%29%2813a+-+8%29

Answer by ikleyn(52890) About Me  (Show Source):
You can put this solution on YOUR website!
.
How can I simplify this equation?
7a/3-8/5+4a/15
Thanks, tam
~~~~~~~~~~~~~~~~ 

The method is to write each fraction (each, every and all fractions) with the common denominator, which is 15.


For it


1)  multiply the numerator and denominator in the first fraction by 5.
        Since you multiply both the numerator and denominator, the fraction will not change its value !



2)  multiply the numerator and denominator in the second fraction by 3.
        Since you multiply both the numerator and denominator, the fraction will not change its value !


3)  Keep the last fraction unchanged !


You will get


7a%2F3-8%2F5%2B4a%2F15 = %2835a%29%2F15+-+24%2F15+%2B+%284a%29%2F15 = %2835a+-+24+%2B+4a%29%2F15 = %2839a-24%29%2F15 = %283%2A%2813a-8%29%29%2F%283%2A5%29 = %2813a-8%29%2F5.

That's all. The work is done.


          H a p p y   l e a r n i n g  ! !



Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How can I simplify this equation?
This is an expression, not an equation. Assume it is:
%287a%29%2F3+-+8%2F5+%2B+%284a%29%2F15
The common denominator is 15
5%287a%29%2F15+-+%283%2A8%29%2F15+%2B+%284a%29%2F15
%2835a%29%2F15+-+24%2F15+%2B+%284a%29%2F15
Combine like terms
%2839a%29%2F15+-+24%2F15
reduce the fractions using factor of 3
%2813a%29%2F5+-+8%2F5
you can also write it
%28%2813a+-+8%29%29%2F5