Solve 32/5-1/4-1

$$\frac{ 32 }{ 5 } - \frac{ 1 }{ 4 } -1$$

Evaluate

$$\frac{103}{20}=5.15$$

Solution Steps

Least common multiple of 5 and 4 is 20. Convert \frac{32}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{128}{20}-\frac{5}{20}-1$$

Since \frac{128}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{128-5}{20}-1$$

Subtract 5 from 128 to get 123.

$$\frac{123}{20}-1$$

Convert 1 to fraction \frac{20}{20}.

$$\frac{123}{20}-\frac{20}{20}$$

Since \frac{123}{20} and \frac{20}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{123-20}{20}$$

Subtract 20 from 123 to get 103.

$$\frac{103}{20}$$

Factor

$$\frac{103}{2 ^ {2} \cdot 5} = 5\frac{3}{20} = 5.15$$