Solve 31/2-21/5

$$3 \frac { 1 } { 2 } - 2 \frac { 1 } { 5 }$$

Evaluate

$$\frac{13}{10}=1.3$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}-\frac{2\times 5+1}{5}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}-\frac{2\times 5+1}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{7}{2}-\frac{10+1}{5}$$

Add 10 and 1 to get 11.

$$\frac{7}{2}-\frac{11}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{7}{2} and \frac{11}{5} to fractions with denominator 10.

$$\frac{35}{10}-\frac{22}{10}$$

Since \frac{35}{10} and \frac{22}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-22}{10}$$

Subtract 22 from 35 to get 13.

$$\frac{13}{10}$$

Factor

$$\frac{13}{2 \cdot 5} = 1\frac{3}{10} = 1.3$$