Solve (5/71/2)div11/4

$$( \frac { 5 } { 7 } \frac { 1 } { 2 } ) \div \frac { 11 } { 4 }$$

Evaluate

$$\frac{10}{77}\approx 0.12987013$$

Solution Steps

Multiply \frac{5}{7} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5\times 1}{7\times 2}}{\frac{11}{4}}$$

Do the multiplications in the fraction \frac{5\times 1}{7\times 2}.

$$\frac{\frac{5}{14}}{\frac{11}{4}}$$

Divide \frac{5}{14} by \frac{11}{4} by multiplying \frac{5}{14} by the reciprocal of \frac{11}{4}.

$$\frac{5}{14}\times \frac{4}{11}$$

Multiply \frac{5}{14} times \frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{14\times 11}$$

Do the multiplications in the fraction \frac{5\times 4}{14\times 11}.

$$\frac{20}{154}$$

Reduce the fraction \frac{20}{154} to lowest terms by extracting and canceling out 2.

$$\frac{10}{77}$$

Factor

$$\frac{2 \cdot 5}{7 \cdot 11} = 0.12987012987012986$$