Solve 23/5-7/8

$$2 \frac { 3 } { 5 } - \frac { 7 } { 8 }$$

Evaluate

$$\frac{69}{40}=1.725$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}-\frac{7}{8}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}-\frac{7}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{13}{5} and \frac{7}{8} to fractions with denominator 40.

$$\frac{104}{40}-\frac{35}{40}$$

Since \frac{104}{40} and \frac{35}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{104-35}{40}$$

Subtract 35 from 104 to get 69.

$$\frac{69}{40}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {3} \cdot 5} = 1\frac{29}{40} = 1.725$$