Solve (14/15-14/15*3/8)div5/9=

$$( \frac{ 14 }{ 15 } - \frac{ 14 }{ 15 } \times \frac{ 3 }{ 8 } ) \div \frac{ 5 }{ 9 } =$$

Evaluate

$$\frac{21}{20}=1.05$$

Solution Steps

Multiply \frac{14}{15} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{14}{15}-\frac{14\times 3}{15\times 8}}{\frac{5}{9}}$$

Do the multiplications in the fraction \frac{14\times 3}{15\times 8}.

$$\frac{\frac{14}{15}-\frac{42}{120}}{\frac{5}{9}}$$

Reduce the fraction \frac{42}{120} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{14}{15}-\frac{7}{20}}{\frac{5}{9}}$$

Least common multiple of 15 and 20 is 60. Convert \frac{14}{15} and \frac{7}{20} to fractions with denominator 60.

$$\frac{\frac{56}{60}-\frac{21}{60}}{\frac{5}{9}}$$

Since \frac{56}{60} and \frac{21}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{56-21}{60}}{\frac{5}{9}}$$

Subtract 21 from 56 to get 35.

$$\frac{\frac{35}{60}}{\frac{5}{9}}$$

Reduce the fraction \frac{35}{60} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{7}{12}}{\frac{5}{9}}$$

Divide \frac{7}{12} by \frac{5}{9} by multiplying \frac{7}{12} by the reciprocal of \frac{5}{9}.

$$\frac{7}{12}\times \frac{9}{5}$$

Multiply \frac{7}{12} times \frac{9}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 9}{12\times 5}$$

Do the multiplications in the fraction \frac{7\times 9}{12\times 5}.

$$\frac{63}{60}$$

Reduce the fraction \frac{63}{60} to lowest terms by extracting and canceling out 3.

$$\frac{21}{20}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2} \cdot 5} = 1\frac{1}{20} = 1.05$$