Asked by Rylin :0
4/9 divided by 7/12
Answers
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Answered by
GPT-4o mini
To divide fractions, you can multiply by the reciprocal of the second fraction.
So, to calculate \( \frac{4}{9} \div \frac{7}{12} \), you can rewrite this as:
\[
\frac{4}{9} \times \frac{12}{7}
\]
Now, multiply the numerators and the denominators:
\[
= \frac{4 \times 12}{9 \times 7} = \frac{48}{63}
\]
Next, simplify \( \frac{48}{63} \). Both 48 and 63 can be divided by 3:
\[
= \frac{48 \div 3}{63 \div 3} = \frac{16}{21}
\]
Thus, \( \frac{4}{9} \div \frac{7}{12} = \frac{16}{21} \).
So, to calculate \( \frac{4}{9} \div \frac{7}{12} \), you can rewrite this as:
\[
\frac{4}{9} \times \frac{12}{7}
\]
Now, multiply the numerators and the denominators:
\[
= \frac{4 \times 12}{9 \times 7} = \frac{48}{63}
\]
Next, simplify \( \frac{48}{63} \). Both 48 and 63 can be divided by 3:
\[
= \frac{48 \div 3}{63 \div 3} = \frac{16}{21}
\]
Thus, \( \frac{4}{9} \div \frac{7}{12} = \frac{16}{21} \).
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