Solve 2/3*1.2*5/9

$$\frac { 2 } { 3 } \times 1.2 \times \frac { 5 } { 9 }$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}\times \frac{6}{5}\times \frac{5}{9}$$

Multiply \frac{2}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 6}{3\times 5}\times \frac{5}{9}$$

Do the multiplications in the fraction \frac{2\times 6}{3\times 5}.

$$\frac{12}{15}\times \frac{5}{9}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

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

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

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

Cancel out 5 in both numerator and denominator.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$