Question

Which values of a, b, and c correctly represent the answer in simplest forrn?

Answer 1

The equation becomes

`1(7)/(19)=a(b)/(c)`

Therefore,

• a = 1

• b = 7

• c = 19

Hence, option (C) is true.

Explanation:

Given the expression

`3(1)/(4)/ 2(3)/(8)\:=a(b)/(c)`

Solving the L.H.S of the equation

`3(1)/(4)/ \:2(3)/(8)=(13)/(4)/ \:2(3)/(8)`

`=(13)/(4)* (8)/(19)`

`=(13* \:2)/(1* \:19)`

`=(26)/(1* \:19)`

`=(26)/(19)`

Converting improper fraction to a fixed number:
`(26)/(19)=1(7)/(19)`

`=1(7)/(19)`

Thus, the equation becomes

`1(7)/(19)=a(b)/(c)`

Therefore,

• a = 1

• b = 7

• c = 19

Hence, option (C) is true.