Solve 92/5-35/8

$$9 \frac{ 2 }{ 5 } -3 \frac{ 5 }{ 8 }$$

Evaluate

$$\frac{231}{40}=5.775$$

Solution Steps

Multiply 9 and 5 to get 45.

$$\frac{45+2}{5}-\frac{3\times 8+5}{8}$$

Add 45 and 2 to get 47.

$$\frac{47}{5}-\frac{3\times 8+5}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{47}{5}-\frac{24+5}{8}$$

Add 24 and 5 to get 29.

$$\frac{47}{5}-\frac{29}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{47}{5} and \frac{29}{8} to fractions with denominator 40.

$$\frac{376}{40}-\frac{145}{40}$$

Since \frac{376}{40} and \frac{145}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{376-145}{40}$$

Subtract 145 from 376 to get 231.

$$\frac{231}{40}$$

Factor

$$\frac{3 \cdot 7 \cdot 11}{2 ^ {3} \cdot 5} = 5\frac{31}{40} = 5.775$$