Question

Solve for bb.
9, plus, start fraction, 3, divided by, 4, end fraction, b, equals, 36
9+
4
3
​
b=
36

Answer 1

To solve for \( b \) in the equation:

\[
9 + \frac{3}{4} b = 36
\]

we first isolate the term with \( b \). To do this, subtract 9 from both sides of the equation:

\[
\frac{3}{4} b = 36 - 9
\]

Calculating the right side:

\[
\frac{3}{4} b = 27
\]

Next, we need to solve for \( b \). To do this, multiply both sides by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \):

\[
b = 27 \cdot \frac{4}{3}
\]

Calculating the right side:

\[
b = \frac{27 \cdot 4}{3} = \frac{108}{3} = 36
\]

Therefore, the solution for \( b \) is:

\[
b = 36
\]