Solve 3*11/2-11/5

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

Evaluate

$$\frac{33}{10}=3.3$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Express 3\times \frac{3}{2} as a single fraction.

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

Multiply 3 and 3 to get 9.

$$\frac{9}{2}-\frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{9}{2}-\frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{9}{2}-\frac{6}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{9}{2} and \frac{6}{5} to fractions with denominator 10.

$$\frac{45}{10}-\frac{12}{10}$$

Since \frac{45}{10} and \frac{12}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-12}{10}$$

Subtract 12 from 45 to get 33.

$$\frac{33}{10}$$

Factor

$$\frac{3 \cdot 11}{2 \cdot 5} = 3\frac{3}{10} = 3.3$$