Solve (2/3*2/3)*(3/4*3/4)

$$( \frac { 2 } { 3 } \times \frac { 2 } { 3 } ) \cdot ( \frac { 3 } { 4 } \times \frac { 3 } { 4 } )$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply \frac{2}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 2}{3\times 3}\times \frac{3}{4}\times \frac{3}{4}$$

Do the multiplications in the fraction \frac{2\times 2}{3\times 3}.

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

Multiply \frac{4}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 4 in both numerator and denominator.

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

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

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

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

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

Cancel out 3 in both numerator and denominator.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$