SOLUTION: (3/4)(5/7) -5+3/5 2/3-3/5 (2/5)/5 show that the following are rational numbers

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Question 471803: (3/4)(5/7)
-5+3/5
2/3-3/5
(2/5)/5
show that the following are rational numbers
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Any number that is to 1 in the same ratio as two natural numbers, is called a rational number. A rational number, then, is any number that we could write as a fraction.

We have seen that EVERY FRACTION a%2Fb has the same ratio to 1 as the numerator has to the denominator: %28a%2Fb%29+%3A+1++=++a+%3A+b.
%283%2F4%29%285%2F7%29=3%2A5%2F4%2A7=15%2F28
proof:
%2815%2F28%29%3A1=15%3A28
%2815%2F28%29%2F%281%2F1%29=15%2F28
%2815%2A1%2F28%2A1%29=15%2F28
15%2F28=15%2F28........rational
use same way to prove the following problems
-5%2B3%2F5=-25%2F5%2B3%2F5=-22%2F5

2%2F3-3%2F5=2%2A5%2F3%2A5-3%2A3%2F5%2A3=10%2F15-9%2F15=1%2F15

%282%2F5%29%2F5=%282%2F5%29%2F%285%2F1%29=2%2A5%2F5%2A1=2%2F1
so, all are rational numbers