Solve 9/20div[(5/6-1/4)*9/14]

$$\frac { 9 } { 20 } \div [ ( \frac { 5 } { 6 } - \frac { 1 } { 4 } ) \times \frac { 9 } { 14 } ]$$

Evaluate

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

Solution Steps

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{\frac{9}{20}}{\left(\frac{10}{12}-\frac{3}{12}\right)\times \frac{9}{14}}$$

Since \frac{10}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9}{20}}{\frac{10-3}{12}\times \frac{9}{14}}$$

Subtract 3 from 10 to get 7.

$$\frac{\frac{9}{20}}{\frac{7}{12}\times \frac{9}{14}}$$

Multiply \frac{7}{12} times \frac{9}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{9}{20}}{\frac{7\times 9}{12\times 14}}$$

Do the multiplications in the fraction \frac{7\times 9}{12\times 14}.

$$\frac{\frac{9}{20}}{\frac{63}{168}}$$

Reduce the fraction \frac{63}{168} to lowest terms by extracting and canceling out 21.

$$\frac{\frac{9}{20}}{\frac{3}{8}}$$

Divide \frac{9}{20} by \frac{3}{8} by multiplying \frac{9}{20} by the reciprocal of \frac{3}{8}.

$$\frac{9}{20}\times \frac{8}{3}$$

Multiply \frac{9}{20} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 8}{20\times 3}$$

Do the multiplications in the fraction \frac{9\times 8}{20\times 3}.

$$\frac{72}{60}$$

Reduce the fraction \frac{72}{60} to lowest terms by extracting and canceling out 12.

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

Factor

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