Solve 5/4*1.2*1/9

$$\frac{ 5 }{ 4 } \times 1.2 \times \frac{ 1 }{ 9 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

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.

$$\frac{5}{4}\times \frac{6}{5}\times \frac{1}{9}$$

Multiply \frac{5}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 6}{4\times 5}\times \frac{1}{9}$$

Cancel out 5 in both numerator and denominator.

$$\frac{6}{4}\times \frac{1}{9}$$

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

$$\frac{3}{2}\times \frac{1}{9}$$

Multiply \frac{3}{2} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{2\times 9}$$

Do the multiplications in the fraction \frac{3\times 1}{2\times 9}.

$$\frac{3}{18}$$

Reduce the fraction \frac{3}{18} to lowest terms by extracting and canceling out 3.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$