Question

Simplify x/4 + (x + 1)/8 * A (3x + 1)/8 B (2x + 1)/8 C (x + 3)/4 D (3x + 1)/4

Answer 1

Step-by-step explanation:

Given that:

$\frac{x}{4} + \frac{x + 1}{8}$

To find: Simplification of the given expression and answer from the given options A,B,C and D

Solution:

Take LCM

$= \frac{2(x) +( x + 1)}{8} \\ \\ = \frac{2x + x + 1}{8} \\ \\ = \frac{3x + 1}{8} \\ \\ \frac{x}{4} + \frac{x + 1}{8} = \frac{3x + 1}{8}$

Out of the given options ,

Option A is correct.

Hope it helps you.

Answer 2

To find :

The value of ( x / 4 ) + [ ( x + 1 ) / 8 ]

Solution :

Given , ( x / 4 ) + [ ( x + 1 ) / 8 ]

on taking LCM of both the fractions ,

=> ( 2x / 8 ) + [ ( x + 1 ) / 8 ]

=> ( 2x + x + 1 ) / 8

=> ( 3x + 1 )

The value of ( x / 4 ) + [ ( x + 1 ) / 8 ] is ( 3x + 1 ) . Hence , option ( A ) is the correct answer .