Solve 0.625div21/12=

$$0.625 \div 2 \frac { 1 } { 12 } =$$

Evaluate

$$0.3$$

Solution Steps

Divide 0.625 by \frac{2\times 12+1}{12} by multiplying 0.625 by the reciprocal of \frac{2\times 12+1}{12}.

$$\frac{0.625\times 12}{2\times 12+1}$$

Multiply 0.625 and 12 to get 7.5.

$$\frac{7.5}{2\times 12+1}$$

Multiply 2 and 12 to get 24.

$$\frac{7.5}{24+1}$$

Add 24 and 1 to get 25.

$$\frac{7.5}{25}$$

Expand \frac{7.5}{25} by multiplying both numerator and the denominator by 10.

$$\frac{75}{250}$$

Reduce the fraction \frac{75}{250} to lowest terms by extracting and canceling out 25.

$$\frac{3}{10}$$

Factor

$$\frac{3}{2 \cdot 5} = 0.3$$