Question

What is the procedure for 31/4-17/8= I'm getting 25/8

Answer 1

Evaluate the value of the expression:

`3(1)/(4)-1(7)/(8)`

Step 1: The mixed fraction will be converted to improper fraction

`\begin{gathered} 3(1)/(4)-1(7)/(8) \\ =(3*4+1)/(4)-(1*8+7)/(8) \\ =(12+1)/(4)-(8+7)/(8) \\ =(13)/(4)-(15)/(8) \end{gathered}`

Step 2: The denominator of 8 will be used as the L.C.M, since it's the greatest of the two

`\begin{gathered} (13)/(4)-(15)/(8) \\ =(26-15)/(8) \\ =(11)/(8) \\ =1(3)/(8) \end{gathered}`

Hence the correct answer = 1 3/8

`1(3)/(8)`