Solve 0.72/9.6*14.4

$$\frac { 0.72 } { 9.6 } \times 14.4$$

Evaluate

$$1.08$$

Solution Steps

Expand \frac{0.72}{9.6} by multiplying both numerator and the denominator by 100.

$$\frac{72}{960}\times 14.4$$

Reduce the fraction \frac{72}{960} to lowest terms by extracting and canceling out 24.

$$\frac{3}{40}\times 14.4$$

Convert decimal number 14.4 to fraction \frac{144}{10}. Reduce the fraction \frac{144}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{40}\times \frac{72}{5}$$

Multiply \frac{3}{40} times \frac{72}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 72}{40\times 5}$$

Do the multiplications in the fraction \frac{3\times 72}{40\times 5}.

$$\frac{216}{200}$$

Reduce the fraction \frac{216}{200} to lowest terms by extracting and canceling out 8.

$$\frac{27}{25}$$

Factor

$$\frac{3 ^ {3}}{5 ^ {2}} = 1\frac{2}{25} = 1.08$$