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

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

Evaluate

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

Solution Steps

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

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

Cancel out 3 in both numerator and denominator.

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

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

$$\frac{1}{2}\times \frac{4}{5}$$

Multiply \frac{1}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{2\times 5}$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 5}.

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

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

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

Factor

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