Solve 3/4+2/5-5/20

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

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

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

$$\frac{15}{20}+\frac{8}{20}-\frac{5}{20}$$

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

$$\frac{15+8}{20}-\frac{5}{20}$$

Add 15 and 8 to get 23.

$$\frac{23}{20}-\frac{5}{20}$$

Since \frac{23}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-5}{20}$$

Subtract 5 from 23 to get 18.

$$\frac{18}{20}$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$