Question

Solve for a,a.
12, plus, start fraction, 5, divided by, 8, end fraction, a, equals, 27
12+
8
5
​
a=
27

Answer 1

To solve the equation \( 12 + \frac{5}{8} a = 27 \), we will isolate \( a \).

1. **Subtract 12 from both sides**:
\[
\frac{5}{8} a = 27 - 12
\]
\[
\frac{5}{8} a = 15
\]

2. **Multiply both sides by \(\frac{8}{5}\) to solve for \( a \)**:
\[
a = 15 \cdot \frac{8}{5}
\]

3. **Calculate \( a \)**:
\[
a = 15 \cdot \frac{8}{5} = 15 \cdot 1.6 = 24
\]

So the solution is:
\[
a = 24
\]