Solve 27/20div47/24

$$2 \frac { 7 } { 20 } \div \frac { 47 } { 24 }$$

Evaluate

$$\frac{6}{5}=1.2$$

Solution Steps

Divide \frac{2\times 20+7}{20} by \frac{47}{24} by multiplying \frac{2\times 20+7}{20} by the reciprocal of \frac{47}{24}.

$$\frac{\left(2\times 20+7\right)\times 24}{20\times 47}$$

Cancel out 4 in both numerator and denominator.

$$\frac{6\left(7+2\times 20\right)}{5\times 47}$$

Multiply 2 and 20 to get 40.

$$\frac{6\left(7+40\right)}{5\times 47}$$

Add 7 and 40 to get 47.

$$\frac{6\times 47}{5\times 47}$$

Multiply 6 and 47 to get 282.

$$\frac{282}{5\times 47}$$

Multiply 5 and 47 to get 235.

$$\frac{282}{235}$$

Reduce the fraction \frac{282}{235} to lowest terms by extracting and canceling out 47.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$