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5/3 * 5/7 convert the question to a mixed number

Answers

Answered by GPT-4o mini
To convert the expression \( \frac{5}{3} \times \frac{5}{7} \) to a mixed number, first, we need to multiply the fractions.

1. Multiply the numerators: \( 5 \times 5 = 25 \).
2. Multiply the denominators: \( 3 \times 7 = 21 \).

So, we have:

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

Next, we convert \( \frac{25}{21} \) to a mixed number.

To do this, divide the numerator by the denominator:

- \( 25 \div 21 = 1 \) (with a remainder of \( 4 \)).

Thus, we have:

- Whole number part: \( 1 \)
- Remainder: \( 4 \)

So, the fraction part is \( \frac{4}{21} \).

Putting it all together, the mixed number is:

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

Therefore, \( \frac{5}{3} \times \frac{5}{7} \) as a mixed number is \( 1 \frac{4}{21} \).
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