Solve 42/7div5/14

$$4 \frac { 2 } { 7 } \div \frac { 5 } { 14 }$$

Evaluate

$$12$$

Solution Steps

Divide \frac{4\times 7+2}{7} by \frac{5}{14} by multiplying \frac{4\times 7+2}{7} by the reciprocal of \frac{5}{14}.

$$\frac{\left(4\times 7+2\right)\times 14}{7\times 5}$$

Cancel out 7 in both numerator and denominator.

$$\frac{2\left(2+4\times 7\right)}{5}$$

Multiply 4 and 7 to get 28.

$$\frac{2\left(2+28\right)}{5}$$

Add 2 and 28 to get 30.

$$\frac{2\times 30}{5}$$

Multiply 2 and 30 to get 60.

$$\frac{60}{5}$$

Divide 60 by 5 to get 12.

$$12$$

Factor

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