Solve 31/2-11/5

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

Evaluate

$$\frac{23}{10}=2.3$$

Solution Steps

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

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

Multiply 1 and 5 to get 5.

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

Add 5 and 1 to get 6.

$$\frac{7}{2}-\frac{6}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{7}{2} and \frac{6}{5} to fractions with denominator 10.

$$\frac{35}{10}-\frac{12}{10}$$

Since \frac{35}{10} and \frac{12}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-12}{10}$$

Subtract 12 from 35 to get 23.

$$\frac{23}{10}$$

Factor

$$\frac{23}{2 \cdot 5} = 2\frac{3}{10} = 2.3$$