Solve 3/4*2/5*4/3

$$\frac { 3 } { 4 } \times \frac { 2 } { 5 } \times \frac { 4 } { 3 }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Multiply \frac{3}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{4\times 5}\times \frac{4}{3}$$

Do the multiplications in the fraction \frac{3\times 2}{4\times 5}.

$$\frac{6}{20}\times \frac{4}{3}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}\times \frac{4}{3}$$

Multiply \frac{3}{10} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{10\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4}{10}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$