Solve 71/5-39/10

$$7 \frac { 1 } { 5 } - 3 \frac { 9 } { 10 }$$

Evaluate

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

Solution Steps

Multiply 7 and 5 to get 35.

$$\frac{35+1}{5}-\frac{3\times 10+9}{10}$$

Add 35 and 1 to get 36.

$$\frac{36}{5}-\frac{3\times 10+9}{10}$$

Multiply 3 and 10 to get 30.

$$\frac{36}{5}-\frac{30+9}{10}$$

Add 30 and 9 to get 39.

$$\frac{36}{5}-\frac{39}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{36}{5} and \frac{39}{10} to fractions with denominator 10.

$$\frac{72}{10}-\frac{39}{10}$$

Since \frac{72}{10} and \frac{39}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72-39}{10}$$

Subtract 39 from 72 to get 33.

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

Factor

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