Solve 4/7div1.2div5/14

$$\frac { 4 } { 7 } \div 1.2 \div \frac { 5 } { 14 }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Divide \frac{\frac{4}{7}}{1.2} by \frac{5}{14} by multiplying \frac{\frac{4}{7}}{1.2} by the reciprocal of \frac{5}{14}.

$$\frac{\frac{4}{7}\times 14}{1.2\times 5}$$

Express \frac{4}{7}\times 14 as a single fraction.

$$\frac{\frac{4\times 14}{7}}{1.2\times 5}$$

Multiply 4 and 14 to get 56.

$$\frac{\frac{56}{7}}{1.2\times 5}$$

Divide 56 by 7 to get 8.

$$\frac{8}{1.2\times 5}$$

Multiply 1.2 and 5 to get 6.

$$\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$