Solve 71/5-21/2=

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

Evaluate

$$\frac{47}{10}=4.7$$

Solution Steps

Multiply 7 and 5 to get 35.

$$\frac{35+1}{5}-\frac{2\times 2+1}{2}$$

Add 35 and 1 to get 36.

$$\frac{36}{5}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{36}{5}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{36}{5}-\frac{5}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{36}{5} and \frac{5}{2} to fractions with denominator 10.

$$\frac{72}{10}-\frac{25}{10}$$

Since \frac{72}{10} and \frac{25}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72-25}{10}$$

Subtract 25 from 72 to get 47.

$$\frac{47}{10}$$

Factor

$$\frac{47}{2 \cdot 5} = 4\frac{7}{10} = 4.7$$