Solve 72/5-73/8

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

Evaluate

$$\frac{1}{40}=0.025$$

Solution Steps

Multiply 7 and 5 to get 35.

$$\frac{35+2}{5}-\frac{7\times 8+3}{8}$$

Add 35 and 2 to get 37.

$$\frac{37}{5}-\frac{7\times 8+3}{8}$$

Multiply 7 and 8 to get 56.

$$\frac{37}{5}-\frac{56+3}{8}$$

Add 56 and 3 to get 59.

$$\frac{37}{5}-\frac{59}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{37}{5} and \frac{59}{8} to fractions with denominator 40.

$$\frac{296}{40}-\frac{295}{40}$$

Since \frac{296}{40} and \frac{295}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{296-295}{40}$$

Subtract 295 from 296 to get 1.

$$\frac{1}{40}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 5} = 0.025$$