SOLUTION: aimplify 3 over 4 over 4 over 5 A)16 over 15 B) 15 over 16 C)5 over 3 D)3 over 5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: aimplify 3 over 4 over 4 over 5 A)16 over 15 B) 15 over 16 C)5 over 3 D)3 over 5      Log On


   

Question 86529: aimplify
3
over
4
over
4
over
5
A)16
over
15
B) 15
over
16
C)5
over
3
D)3
over
5
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
.
3%2F4 divided by 4%2F5
.
To divide by a fraction you can invert that divisor and multiply it times the dividend.
Therefore, this division problem converts to the multiplication of the dividend 3%2F4 by
the inverted divisor which is now 5%2F4 ...
.
%283%2F4%29+%2A+%285%2F4%29
.
Just multiply the terms in the two numerators to get the resulting numerator, and also
multiply the terms in the two denominators to get the resulting denominator. This makes
the problem become:
.
%283%2A5%29%2F%284%2A4%29+=+15%2F16
.
So the correct answer is B ... 15%2F16
.