Question:
The product of two fractions is $9 \frac{3}{5}$. If one of the fractions is $9 \frac{3}{7}$, find the other.
Solution:
Let the other fraction be x.
Now, we have:
$9 \frac{3}{7} \times x=9 \frac{3}{5}$
$\Rightarrow x=9 \frac{3}{5} \div 9 \frac{3}{7}$
$=\left(9+\frac{3}{5}\right) \div\left(9+\frac{3}{7}\right)$
$=\frac{48}{5} \div \frac{66}{7}$
$=\frac{48}{5} \times \frac{7}{66}$
$=\frac{48 \times 7}{5 \times 66}$
$=\frac{336}{330}$
$=\frac{56}{55}$
$=1 \frac{1}{55}$
Hence, the other fraction is $1 \frac{1}{55}$.
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