Solve 32/4-22/5

$$3 \frac { 2 } { 4 } - 2 \frac { 2 } { 5 }$$

Evaluate

$$\frac{11}{10}=1.1$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+2}{4}-\frac{2\times 5+2}{5}$$

Add 12 and 2 to get 14.

$$\frac{14}{4}-\frac{2\times 5+2}{5}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$\frac{7}{2}-\frac{2\times 5+2}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{7}{2}-\frac{10+2}{5}$$

Add 10 and 2 to get 12.

$$\frac{7}{2}-\frac{12}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{7}{2} and \frac{12}{5} to fractions with denominator 10.

$$\frac{35}{10}-\frac{24}{10}$$

Since \frac{35}{10} and \frac{24}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-24}{10}$$

Subtract 24 from 35 to get 11.

$$\frac{11}{10}$$

Factor

$$\frac{11}{2 \cdot 5} = 1\frac{1}{10} = 1.1$$