Solve 13/9-5/27div20/21=

$$\frac { 13 } { 9 } - \frac { 5 } { 27 } \div \frac { 20 } { 21 } =$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Divide \frac{5}{27} by \frac{20}{21} by multiplying \frac{5}{27} by the reciprocal of \frac{20}{21}.

$$\frac{13}{9}-\frac{5}{27}\times \frac{21}{20}$$

Multiply \frac{5}{27} times \frac{21}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13}{9}-\frac{5\times 21}{27\times 20}$$

Do the multiplications in the fraction \frac{5\times 21}{27\times 20}.

$$\frac{13}{9}-\frac{105}{540}$$

Reduce the fraction \frac{105}{540} to lowest terms by extracting and canceling out 15.

$$\frac{13}{9}-\frac{7}{36}$$

Least common multiple of 9 and 36 is 36. Convert \frac{13}{9} and \frac{7}{36} to fractions with denominator 36.

$$\frac{52}{36}-\frac{7}{36}$$

Since \frac{52}{36} and \frac{7}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-7}{36}$$

Subtract 7 from 52 to get 45.

$$\frac{45}{36}$$

Reduce the fraction \frac{45}{36} to lowest terms by extracting and canceling out 9.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$