Question

Multiply 5/8 and 9. Write the answer as a mixed number

Answer 1

To multiply \( \frac{5}{8} \) by \( 9 \), follow these steps:

1. Convert \( 9 \) into a fraction:
\( 9 = \frac{9}{1} \).

2. Multiply the fractions:
\[
\frac{5}{8} \times \frac{9}{1} = \frac{5 \times 9}{8 \times 1} = \frac{45}{8}.
\]

3. Next, convert \( \frac{45}{8} \) to a mixed number.
Divide \( 45 \) by \( 8 \):
- \( 8 \) goes into \( 45 \) a total of \( 5 \) times (since \( 8 \times 5 = 40 \)).
- Subtract \( 40 \) from \( 45 \) to find the remainder:
\( 45 - 40 = 5 \).

4. Therefore, \( \frac{45}{8} \) can be expressed as the mixed number:
\[
5 \frac{5}{8}.
\]

The final answer is:
\[
5 \frac{5}{8}.
\]