Solve 51/8+-14/5

$$5 \frac{ 1 }{ 8 } +-1 \frac{ 4 }{ 5 }$$

Evaluate

$$\frac{133}{40}=3.325$$

Solution Steps

Multiply 5 and 8 to get 40.

$$\frac{40+1}{8}-\frac{1\times 5+4}{5}$$

Add 40 and 1 to get 41.

$$\frac{41}{8}-\frac{1\times 5+4}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{41}{8}-\frac{5+4}{5}$$

Add 5 and 4 to get 9.

$$\frac{41}{8}-\frac{9}{5}$$

Least common multiple of 8 and 5 is 40. Convert \frac{41}{8} and \frac{9}{5} to fractions with denominator 40.

$$\frac{205}{40}-\frac{72}{40}$$

Since \frac{205}{40} and \frac{72}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{205-72}{40}$$

Subtract 72 from 205 to get 133.

$$\frac{133}{40}$$

Factor

$$\frac{7 \cdot 19}{2 ^ {3} \cdot 5} = 3\frac{13}{40} = 3.325$$