Solve 5-11/2-22/5

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

Evaluate

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

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Convert 5 to fraction \frac{10}{2}.

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

Since \frac{10}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 10 to get 7.

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

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

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