Question

5/8 = 3/4b - 7/12
Solve for b.
Show step by step please.

Answer 1

5 = 3 b - 7                   7
8    4      12     ← add 12 to both sides of the equation

29 = 3 b                                                  3
24    4             ← divide both sides by 4  (or multiply its reciprocal)

29 = b
18

Answer 2

Answer:

The value of the equation for b is $\frac{29}{18}=b$.

Step-by-step explanation:

Consider the provided equation.

$\frac{5}{8}=\frac{3}{4}b -\frac{7}{12}$

We need to solve the provided equation for b.

Add 7/12 from both side.  

$\frac{5}{8}+\frac{7}{12}=\frac{3}{4}b -\frac{7}{12}+\frac{7}{12}$

$\frac{5}{8}+\frac{7}{12}=\frac{3}{4}b$

Multiply both the sides by 4.

$4\times \frac{5}{8}+4\times \frac{7}{12}=4\times \frac{3}{4}b$

$\frac{5}{2}+\frac{7}{3}=3b$

$\frac{15+14}{6}=3b$

$\frac{29}{6}=3b$

Divide both the sides by 3.

$\frac{29}{18}=b$

Hence, the value of the equation for b is $\frac{29}{18}=b$.