Solve 24*6/10*18/10*14/10=

$$24 \times \frac { 6 } { 10 } \times \frac { 18 } { 10 } \times \frac { 14 } { 10 } =$$

Evaluate

$$\frac{4536}{125}=36.288$$

Solution Steps

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$24\times \frac{3}{5}\times \frac{18}{10}\times \frac{14}{10}$$

Express 24\times \frac{3}{5} as a single fraction.

$$\frac{24\times 3}{5}\times \frac{18}{10}\times \frac{14}{10}$$

Multiply 24 and 3 to get 72.

$$\frac{72}{5}\times \frac{18}{10}\times \frac{14}{10}$$

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

$$\frac{72}{5}\times \frac{9}{5}\times \frac{14}{10}$$

Multiply \frac{72}{5} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{72\times 9}{5\times 5}\times \frac{14}{10}$$

Do the multiplications in the fraction \frac{72\times 9}{5\times 5}.

$$\frac{648}{25}\times \frac{14}{10}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{648}{25}\times \frac{7}{5}$$

Multiply \frac{648}{25} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{648\times 7}{25\times 5}$$

Do the multiplications in the fraction \frac{648\times 7}{25\times 5}.

$$\frac{4536}{125}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {4} \cdot 7}{5 ^ {3}} = 36\frac{36}{125} = 36.288$$