Solve 4/15-3/20+5/15=

$$\frac { 4 } { 15 } - \frac { 3 } { 20 } + \frac { 5 } { 15 } =$$

Evaluate

$$\frac{9}{20}=0.45$$

Solution Steps

Least common multiple of 15 and 20 is 60. Convert \frac{4}{15} and \frac{3}{20} to fractions with denominator 60.

$$\frac{16}{60}-\frac{9}{60}+\frac{5}{15}$$

Since \frac{16}{60} and \frac{9}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-9}{60}+\frac{5}{15}$$

Subtract 9 from 16 to get 7.

$$\frac{7}{60}+\frac{5}{15}$$

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$\frac{7}{60}+\frac{1}{3}$$

Least common multiple of 60 and 3 is 60. Convert \frac{7}{60} and \frac{1}{3} to fractions with denominator 60.

$$\frac{7}{60}+\frac{20}{60}$$

Since \frac{7}{60} and \frac{20}{60} have the same denominator, add them by adding their numerators.

$$\frac{7+20}{60}$$

Add 7 and 20 to get 27.

$$\frac{27}{60}$$

Reduce the fraction \frac{27}{60} to lowest terms by extracting and canceling out 3.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$