Solve 5-3/40-31/5

$$5 - \frac { 3 } { 40 } - 3 \frac { 1 } { 5 }$$

Evaluate

$$\frac{69}{40}=1.725$$

Solution Steps

Convert 5 to fraction \frac{200}{40}.

$$\frac{200}{40}-\frac{3}{40}-\frac{3\times 5+1}{5}$$

Since \frac{200}{40} and \frac{3}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{200-3}{40}-\frac{3\times 5+1}{5}$$

Subtract 3 from 200 to get 197.

$$\frac{197}{40}-\frac{3\times 5+1}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{197}{40}-\frac{15+1}{5}$$

Add 15 and 1 to get 16.

$$\frac{197}{40}-\frac{16}{5}$$

Least common multiple of 40 and 5 is 40. Convert \frac{197}{40} and \frac{16}{5} to fractions with denominator 40.

$$\frac{197}{40}-\frac{128}{40}$$

Since \frac{197}{40} and \frac{128}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{197-128}{40}$$

Subtract 128 from 197 to get 69.

$$\frac{69}{40}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {3} \cdot 5} = 1\frac{29}{40} = 1.725$$