Question

Solve b + 3∕8 = 4∕9 for b.
A. 32/27
B. 59/72
C. 5/72
D. 1/6

Answer 1

The value of b equals to

`(5)/(72)`

Explanation:

Hello!

steps given below

given expression

`b + (3)/(8) = (4)/(9) \\`

subtract

`(3)/(8)`

from both sides

`b + (3)/(8) - (3)/(8) = (4)/(9) - (3)/(8) \\ b = (4)/(9) - (3)/(8)`

To, continue find the L.C.M of 9 and 8 thus, it's 72

So, plug 72 and solve the expression as follows

`let \: (a)/(c) - (b)/(c) = (a - b)/(c) \\ b = (32 - 27)/(72) = (5)/(72)`

Hope it helps!