Question

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

Answer 1

Answer:

The value of b equals to

$\frac{5}{72}$

Step-by-step explanation:

Hello!

steps given below

given expression

$b + \frac{3}{8} = \frac{4}{9}$

subtract

$\frac{3}{8}$

from both sides

$b + \frac{3}{8} - \frac{3}{8} = \frac{4}{9} - \frac{3}{8} \\ b = \frac{4}{9} - \frac{3}{8}$

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

So, plug 72 and solve the expression as follows

$let \: \frac{a}{c} - \frac{b}{c} = \frac{a - b}{c} \\ b = \frac{32 - 27}{72} = \frac{5}{72}$

Hope it helps!