Solve 9/2*2,4*8/3*5

$$\frac { 9 } { 2 } \cdot 2,4 \cdot \frac { 8 } { 3 } \cdot 5$$

Evaluate

$$144$$

Solution Steps

Convert decimal number 2,4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}\times \frac{12}{5}\times \frac{8}{3}\times 5$$

Multiply \frac{9}{2} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 12}{2\times 5}\times \frac{8}{3}\times 5$$

Do the multiplications in the fraction \frac{9\times 12}{2\times 5}.

$$\frac{108}{10}\times \frac{8}{3}\times 5$$

Reduce the fraction \frac{108}{10} to lowest terms by extracting and canceling out 2.

$$\frac{54}{5}\times \frac{8}{3}\times 5$$

Multiply \frac{54}{5} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{54\times 8}{5\times 3}\times 5$$

Do the multiplications in the fraction \frac{54\times 8}{5\times 3}.

$$\frac{432}{15}\times 5$$

Reduce the fraction \frac{432}{15} to lowest terms by extracting and canceling out 3.

$$\frac{144}{5}\times 5$$

Cancel out 5 and 5.

$$144$$

Factor

$$2^{4}\times 3^{2}$$