Multiply 5/3

times 5/7
. Convert the answer to a mixed number.(1 point)

1 answer

To multiply the fractions \( \frac{5}{3} \) and \( \frac{5}{7} \), you multiply the numerators together and the denominators together:

\[ \frac{5}{3} \times \frac{5}{7} = \frac{5 \times 5}{3 \times 7} = \frac{25}{21} \]

Now, to convert \( \frac{25}{21} \) to a mixed number, we divide the numerator by the denominator:

\[ 25 \div 21 = 1 \quad \text{(with a remainder of 4)} \]

This gives us:

\[ \frac{25}{21} = 1 \frac{4}{21} \]

Thus, the final answer is:

\[ 1 \frac{4}{21} \]