Solve (33/10-21/5)*2/11

$$( 3 \frac { 3 } { 10 } - 2 \frac { 1 } { 5 } ) \times \frac { 2 } { 11 }$$

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

Multiply 3 and 10 to get 30.

$$\left(\frac{30+3}{10}-\frac{2\times 5+1}{5}\right)\times \frac{2}{11}$$

Add 30 and 3 to get 33.

$$\left(\frac{33}{10}-\frac{2\times 5+1}{5}\right)\times \frac{2}{11}$$

Multiply 2 and 5 to get 10.

$$\left(\frac{33}{10}-\frac{10+1}{5}\right)\times \frac{2}{11}$$

Add 10 and 1 to get 11.

$$\left(\frac{33}{10}-\frac{11}{5}\right)\times \frac{2}{11}$$

Least common multiple of 10 and 5 is 10. Convert \frac{33}{10} and \frac{11}{5} to fractions with denominator 10.

$$\left(\frac{33}{10}-\frac{22}{10}\right)\times \frac{2}{11}$$

Since \frac{33}{10} and \frac{22}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-22}{10}\times \frac{2}{11}$$

Subtract 22 from 33 to get 11.

$$\frac{11}{10}\times \frac{2}{11}$$

Multiply \frac{11}{10} times \frac{2}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 2}{10\times 11}$$

Cancel out 11 in both numerator and denominator.

$$\frac{2}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$