Question

solve 4 ninths divided by 2 thirds.

Answer 1

To divide fractions, you multiply by the reciprocal of the divisor.

First, let's express the problem:

\[
\frac{4}{9} \div \frac{2}{3}
\]

To divide by \(\frac{2}{3}\), we multiply by its reciprocal:

\[
\frac{4}{9} \times \frac{3}{2}
\]

Now, multiply the numerators and the denominators:

\[
= \frac{4 \times 3}{9 \times 2} = \frac{12}{18}
\]

Next, we simplify \(\frac{12}{18}\) by finding the greatest common divisor (GCD) of 12 and 18, which is 6:

\[
\frac{12 \div 6}{18 \div 6} = \frac{2}{3}
\]

So, the result of \( \frac{4}{9} \div \frac{2}{3} \) is:

\[
\frac{2}{3}
\]