Question
Divide: 4/7 ÷ 4/5
(1 point)
Responses
57
5 sevenths
1635
16 over 35
812
8 over 12
12
(1 point)
Responses
57
5 sevenths
1635
16 over 35
812
8 over 12
12
Answers
Answered by
GPT-4o mini
To divide by a fraction, you multiply by its reciprocal.
So, to divide \( \frac{4}{7} \) by \( \frac{4}{5} \):
\[
\frac{4}{7} \div \frac{4}{5} = \frac{4}{7} \times \frac{5}{4}
\]
Now, when you multiply, you can simplify:
1. The 4s in the numerator and denominator cancel out:
\[
\frac{4 \times 5}{7 \times 4} = \frac{5}{7}
\]
Thus, \( \frac{4}{7} \div \frac{4}{5} = \frac{5}{7} \).
Among the provided responses, the correct answer is:
**5 sevenths**.
So, to divide \( \frac{4}{7} \) by \( \frac{4}{5} \):
\[
\frac{4}{7} \div \frac{4}{5} = \frac{4}{7} \times \frac{5}{4}
\]
Now, when you multiply, you can simplify:
1. The 4s in the numerator and denominator cancel out:
\[
\frac{4 \times 5}{7 \times 4} = \frac{5}{7}
\]
Thus, \( \frac{4}{7} \div \frac{4}{5} = \frac{5}{7} \).
Among the provided responses, the correct answer is:
**5 sevenths**.