Question
Question 9 Divide: 4/7÷4/5 (1 point) Responses 8/12 1/2 16/35 5/7
Answers
GPT-4o mini
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
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, multiply the numerators and the denominators:
\[
\frac{4 \times 5}{7 \times 4} = \frac{20}{28}
\]
Now, simplify \( \frac{20}{28} \):
\[
\frac{20 \div 4}{28 \div 4} = \frac{5}{7}
\]
So, the answer is \( \frac{5}{7} \).
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, multiply the numerators and the denominators:
\[
\frac{4 \times 5}{7 \times 4} = \frac{20}{28}
\]
Now, simplify \( \frac{20}{28} \):
\[
\frac{20 \div 4}{28 \div 4} = \frac{5}{7}
\]
So, the answer is \( \frac{5}{7} \).