Solve 6-(3/4-2/5)

$$6 - ( \frac { 3 } { 4 } - \frac { 2 } { 5 } )$$

Evaluate

$$\frac{113}{20}=5.65$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

$$6-\left(\frac{15}{20}-\frac{8}{20}\right)$$

Since \frac{15}{20} and \frac{8}{20} have the same denominator, subtract them by subtracting their numerators.

$$6-\frac{15-8}{20}$$

Subtract 8 from 15 to get 7.

$$6-\frac{7}{20}$$

Convert 6 to fraction \frac{120}{20}.

$$\frac{120}{20}-\frac{7}{20}$$

Since \frac{120}{20} and \frac{7}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{120-7}{20}$$

Subtract 7 from 120 to get 113.

$$\frac{113}{20}$$

Factor

$$\frac{113}{2 ^ {2} \cdot 5} = 5\frac{13}{20} = 5.65$$