Solve 5-3/4-2/5

$$5 - \frac { 3 } { 4 } - \frac { 2 } { 5 }$$

Evaluate

$$\frac{77}{20}=3.85$$

Solution Steps

Convert 5 to fraction \frac{20}{4}.

$$\frac{20}{4}-\frac{3}{4}-\frac{2}{5}$$

Since \frac{20}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-3}{4}-\frac{2}{5}$$

Subtract 3 from 20 to get 17.

$$\frac{17}{4}-\frac{2}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{17}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{85}{20}-\frac{8}{20}$$

Since \frac{85}{20} and \frac{8}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-8}{20}$$

Subtract 8 from 85 to get 77.

$$\frac{77}{20}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 5} = 3\frac{17}{20} = 3.85$$