Solve (8/11-20/55)*66/20

$$( \frac{ 8 }{ 11 } - \frac{ 20 }{ 55 } ) \times \frac{ 66 }{ 20 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{20}{55} to lowest terms by extracting and canceling out 5.

$$\left(\frac{8}{11}-\frac{4}{11}\right)\times \frac{66}{20}$$

Since \frac{8}{11} and \frac{4}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-4}{11}\times \frac{66}{20}$$

Subtract 4 from 8 to get 4.

$$\frac{4}{11}\times \frac{66}{20}$$

Reduce the fraction \frac{66}{20} to lowest terms by extracting and canceling out 2.

$$\frac{4}{11}\times \frac{33}{10}$$

Multiply \frac{4}{11} times \frac{33}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 33}{11\times 10}$$

Do the multiplications in the fraction \frac{4\times 33}{11\times 10}.

$$\frac{132}{110}$$

Reduce the fraction \frac{132}{110} to lowest terms by extracting and canceling out 22.

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

Factor

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