Solve 72/5-27/8=

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

Evaluate

$$\frac{181}{40}=4.525$$

Solution Steps

Multiply 7 and 5 to get 35.

$$\frac{35+2}{5}-\frac{2\times 8+7}{8}$$

Add 35 and 2 to get 37.

$$\frac{37}{5}-\frac{2\times 8+7}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{37}{5}-\frac{16+7}{8}$$

Add 16 and 7 to get 23.

$$\frac{37}{5}-\frac{23}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{37}{5} and \frac{23}{8} to fractions with denominator 40.

$$\frac{296}{40}-\frac{115}{40}$$

Since \frac{296}{40} and \frac{115}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{296-115}{40}$$

Subtract 115 from 296 to get 181.

$$\frac{181}{40}$$

Factor

$$\frac{181}{2 ^ {3} \cdot 5} = 4\frac{21}{40} = 4.525$$