Solve 52/5-13/8

$$5 \frac { 2 } { 5 } - 1 \frac { 3 } { 8 }$$

Evaluate

$$\frac{161}{40}=4.025$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+2}{5}-\frac{1\times 8+3}{8}$$

Add 25 and 2 to get 27.

$$\frac{27}{5}-\frac{1\times 8+3}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{27}{5}-\frac{8+3}{8}$$

Add 8 and 3 to get 11.

$$\frac{27}{5}-\frac{11}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{27}{5} and \frac{11}{8} to fractions with denominator 40.

$$\frac{216}{40}-\frac{55}{40}$$

Since \frac{216}{40} and \frac{55}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{216-55}{40}$$

Subtract 55 from 216 to get 161.

$$\frac{161}{40}$$

Factor

$$\frac{7 \cdot 23}{2 ^ {3} \cdot 5} = 4\frac{1}{40} = 4.025$$