Question

Divide. Write your answer as a fraction.
1/9 ÷ 2/3 =

Answer 1

To divide fractions, you multiply by the reciprocal of the divisor. The reciprocal of \(\frac{2}{3}\) is \(\frac{3}{2}\).

So,

\[
\frac{1}{9} \div \frac{2}{3} = \frac{1}{9} \times \frac{3}{2}.
\]

Now, multiply the fractions:

\[
\frac{1 \times 3}{9 \times 2} = \frac{3}{18}.
\]

Next, simplify \(\frac{3}{18}\):

\[
\frac{3 \div 3}{18 \div 3} = \frac{1}{6}.
\]

Thus,

\[
\frac{1}{9} \div \frac{2}{3} = \frac{1}{6}.
\]