Solve (14/15-14/15*3/80)div5/9

$$( \frac { 14 } { 15 } - \frac { 14 } { 15 } \times \frac { 3 } { 80 } ) \div \frac { 5 } { 9 }$$

Evaluate

$$\frac{1617}{1000}=1.617$$

Solution Steps

Multiply \frac{14}{15} times \frac{3}{80} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{14}{15}-\frac{14\times 3}{15\times 80}}{\frac{5}{9}}$$

Do the multiplications in the fraction \frac{14\times 3}{15\times 80}.

$$\frac{\frac{14}{15}-\frac{42}{1200}}{\frac{5}{9}}$$

Reduce the fraction \frac{42}{1200} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{14}{15}-\frac{7}{200}}{\frac{5}{9}}$$

Least common multiple of 15 and 200 is 600. Convert \frac{14}{15} and \frac{7}{200} to fractions with denominator 600.

$$\frac{\frac{560}{600}-\frac{21}{600}}{\frac{5}{9}}$$

Since \frac{560}{600} and \frac{21}{600} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{560-21}{600}}{\frac{5}{9}}$$

Subtract 21 from 560 to get 539.

$$\frac{\frac{539}{600}}{\frac{5}{9}}$$

Divide \frac{539}{600} by \frac{5}{9} by multiplying \frac{539}{600} by the reciprocal of \frac{5}{9}.

$$\frac{539}{600}\times \frac{9}{5}$$

Multiply \frac{539}{600} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{539\times 9}{600\times 5}$$

Do the multiplications in the fraction \frac{539\times 9}{600\times 5}.

$$\frac{4851}{3000}$$

Reduce the fraction \frac{4851}{3000} to lowest terms by extracting and canceling out 3.

$$\frac{1617}{1000}$$

Factor

$$\frac{3 \cdot 7 ^ {2} \cdot 11}{2 ^ {3} \cdot 5 ^ {3}} = 1\frac{617}{1000} = 1.617$$