Solve 4/9*1.8*5/14

$$\frac { 4 } { 9 } \times 1.8 \times \frac { 5 } { 14 }$$

Evaluate

$$\frac{2}{7}\approx 0.285714286$$

Solution Steps

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{9}\times \frac{9}{5}\times \frac{5}{14}$$

Multiply \frac{4}{9} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 9}{9\times 5}\times \frac{5}{14}$$

Cancel out 9 in both numerator and denominator.

$$\frac{4}{5}\times \frac{5}{14}$$

Multiply \frac{4}{5} times \frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 5}{5\times 14}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{14}$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$\frac{2}{7}$$

Factor

$$\frac{2}{7} = 0.2857142857142857$$