Solve 0.2*5/6*4

$$0.2 \times \frac { 5 } { 6 } \times 4$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}\times \frac{5}{6}\times 4$$

Multiply \frac{1}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{5\times 6}\times 4$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{6}\times 4$$

Multiply \frac{1}{6} and 4 to get \frac{4}{6}.

$$\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$