Solve (2/3)^2-1/3div3/4

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

Evaluate

$$0$$

Solution Steps

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\frac{4}{9}-\frac{\frac{1}{3}}{\frac{3}{4}}$$

Divide \frac{1}{3} by \frac{3}{4} by multiplying \frac{1}{3} by the reciprocal of \frac{3}{4}.

$$\frac{4}{9}-\frac{1}{3}\times \frac{4}{3}$$

Multiply \frac{1}{3} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{9}-\frac{1\times 4}{3\times 3}$$

Do the multiplications in the fraction \frac{1\times 4}{3\times 3}.

$$\frac{4}{9}-\frac{4}{9}$$

Subtract \frac{4}{9} from \frac{4}{9} to get 0.

$$0$$

Factor

$$0$$