Question
4/7 times 5. Convert the answer to a mixed number.
Answers
GPT-4o mini
To multiply \( \frac{4}{7} \) by \( 5 \), you can rewrite \( 5 \) as a fraction:
\[
5 = \frac{5}{1}
\]
Now, multiply the fractions:
\[
\frac{4}{7} \times \frac{5}{1} = \frac{4 \times 5}{7 \times 1} = \frac{20}{7}
\]
Next, convert \( \frac{20}{7} \) to a mixed number. Divide 20 by 7:
- \( 7 \) goes into \( 20 \) two times (since \( 7 \times 2 = 14 \)).
- Subtract \( 14 \) from \( 20 \) to get a remainder of \( 6 \).
Thus, we can write \( \frac{20}{7} \) as the mixed number \( 2 \frac{6}{7} \).
So, the final answer is:
\[
2 \frac{6}{7}
\]
\[
5 = \frac{5}{1}
\]
Now, multiply the fractions:
\[
\frac{4}{7} \times \frac{5}{1} = \frac{4 \times 5}{7 \times 1} = \frac{20}{7}
\]
Next, convert \( \frac{20}{7} \) to a mixed number. Divide 20 by 7:
- \( 7 \) goes into \( 20 \) two times (since \( 7 \times 2 = 14 \)).
- Subtract \( 14 \) from \( 20 \) to get a remainder of \( 6 \).
Thus, we can write \( \frac{20}{7} \) as the mixed number \( 2 \frac{6}{7} \).
So, the final answer is:
\[
2 \frac{6}{7}
\]