Solve 11/2-22/5

$$1 \frac { 1 } { 2 } - 2 \frac { 2 } { 5 }$$

Evaluate

$$-\frac{9}{10}=-0.9$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{2+1}{2}-\frac{2\times 5+2}{5}$$

Add 2 and 1 to get 3.

$$\frac{3}{2}-\frac{2\times 5+2}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{3}{2}-\frac{10+2}{5}$$

Add 10 and 2 to get 12.

$$\frac{3}{2}-\frac{12}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{12}{5} to fractions with denominator 10.

$$\frac{15}{10}-\frac{24}{10}$$

Since \frac{15}{10} and \frac{24}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-24}{10}$$

Subtract 24 from 15 to get -9.

$$-\frac{9}{10}$$

Factor

$$-\frac{9}{10} = -0.9$$