4/9 divided by 7/12

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, \( \frac{4}{9} \div \frac{7}{12} = \frac{16}{21} \).