Solve 2,4*5/8:21/2

$$2,4 \times \frac { 5 } { 8 } : 2 \frac { 1 } { 2 }$$

Evaluate

$$0,6$$

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.

$$\frac{\frac{12}{5}\times \frac{5}{8}}{\frac{2\times 2+1}{2}}$$

Multiply \frac{12}{5} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{12\times 5}{5\times 8}}{\frac{2\times 2+1}{2}}$$

Cancel out 5 in both numerator and denominator.

$$\frac{\frac{12}{8}}{\frac{2\times 2+1}{2}}$$

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

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

Multiply 2 and 2 to get 4.

$$\frac{\frac{3}{2}}{\frac{4+1}{2}}$$

Add 4 and 1 to get 5.

$$\frac{\frac{3}{2}}{\frac{5}{2}}$$

Divide \frac{3}{2} by \frac{5}{2} by multiplying \frac{3}{2} by the reciprocal of \frac{5}{2}.

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

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

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

Cancel out 2 in both numerator and denominator.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$