Solve (1/2div2/3*3/4)^2

$$( \frac { 1 } { 2 } \div \frac { 2 } { 3 } \times \frac { 3 } { 4 } ) ^ { 2 }$$

Evaluate

$$\frac{81}{256}=0.31640625$$

Solution Steps

Divide \frac{1}{2} by \frac{2}{3} by multiplying \frac{1}{2} by the reciprocal of \frac{2}{3}.

$$\left(\frac{1}{2}\times \frac{3}{2}\times \frac{3}{4}\right)^{2}$$

Multiply \frac{1}{2} and \frac{3}{2} to get \frac{3}{4}.

$$\left(\frac{3}{4}\times \frac{3}{4}\right)^{2}$$

Multiply \frac{3}{4} and \frac{3}{4} to get \frac{9}{16}.

$$\left(\frac{9}{16}\right)^{2}$$

Calculate \frac{9}{16} to the power of 2 and get \frac{81}{256}.

$$\frac{81}{256}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {8}} = 0.31640625$$