Solve 93/8-54/5=

$$9 \frac { 3 } { 8 } - 5 \frac { 4 } { 5 } =$$

Evaluate

$$\frac{143}{40}=3.575$$

Solution Steps

Multiply 9 and 8 to get 72.

$$\frac{72+3}{8}-\frac{5\times 5+4}{5}$$

Add 72 and 3 to get 75.

$$\frac{75}{8}-\frac{5\times 5+4}{5}$$

Multiply 5 and 5 to get 25.

$$\frac{75}{8}-\frac{25+4}{5}$$

Add 25 and 4 to get 29.

$$\frac{75}{8}-\frac{29}{5}$$

Least common multiple of 8 and 5 is 40. Convert \frac{75}{8} and \frac{29}{5} to fractions with denominator 40.

$$\frac{375}{40}-\frac{232}{40}$$

Since \frac{375}{40} and \frac{232}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{375-232}{40}$$

Subtract 232 from 375 to get 143.

$$\frac{143}{40}$$

Factor

$$\frac{11 \cdot 13}{2 ^ {3} \cdot 5} = 3\frac{23}{40} = 3.575$$