Solve 1/2+2/3-4/15

$$\frac{ 1 }{ 2 } + \frac{ 2 }{ 3 } - \frac{ 4 }{ 15 }$$

Evaluate

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

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{4}{6}-\frac{4}{15}$$

Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{6}-\frac{4}{15}$$

Add 3 and 4 to get 7.

$$\frac{7}{6}-\frac{4}{15}$$

Least common multiple of 6 and 15 is 30. Convert \frac{7}{6} and \frac{4}{15} to fractions with denominator 30.

$$\frac{35}{30}-\frac{8}{30}$$

Since \frac{35}{30} and \frac{8}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-8}{30}$$

Subtract 8 from 35 to get 27.

$$\frac{27}{30}$$

Reduce the fraction \frac{27}{30} to lowest terms by extracting and canceling out 3.

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

Factor

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