Questions: Simplify (2/3)/(3/4)

Solution Steps

To simplify the expression \(\frac{\frac{2}{3}}{\frac{3}{4}}\), we multiply the numerator by the reciprocal of the denominator. This means multiplying \(\frac{2}{3}\) by \(\frac{4}{3}\).

We need to simplify the expression \(\frac{\frac{2}{3}}{\frac{3}{4}}\).

To simplify, multiply the numerator \(\frac{2}{3}\) by the reciprocal of the denominator \(\frac{3}{4}\), which is \(\frac{4}{3}\).

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

Multiply the numerators and the denominators:

\[ \frac{2 \times 4}{3 \times 3} = \frac{8}{9} \]

Final Answer