Question

multiply a mixed number by fraction
5 x 2/7

Answer 1

To multiply a mixed number by a fraction, we first need to convert the mixed number into an improper fraction. However, it's important to clarify that "5" is not a mixed number; it’s a whole number. We can also represent it as a fraction.

Here’s how to do this step-by-step:

1. **Write the whole number as a fraction**:
\[
5 = \frac{5}{1}
\]

2. **Multiply the fractions**:
\[
\frac{5}{1} \times \frac{2}{7} = \frac{5 \times 2}{1 \times 7} = \frac{10}{7}
\]

So,
\[
5 \times \frac{2}{7} = \frac{10}{7}
\]

3. **Convert back to a mixed number if necessary**:
\(\frac{10}{7}\) is an improper fraction and can be converted to a mixed number:
- 10 divided by 7 is 1 with a remainder of 3.
- Thus, \(\frac{10}{7} = 1 \frac{3}{7}\).

The final result is:
\[
5 \times \frac{2}{7} = \frac{10}{7} \text{ or } 1 \frac{3}{7}
\]