Solve 2/15+13/10-7/6

$$\frac { 2 } { 15 } + \frac { 13 } { 10 } - \frac { 7 } { 6 }$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Least common multiple of 15 and 10 is 30. Convert \frac{2}{15} and \frac{13}{10} to fractions with denominator 30.

$$\frac{4}{30}+\frac{39}{30}-\frac{7}{6}$$

Since \frac{4}{30} and \frac{39}{30} have the same denominator, add them by adding their numerators.

$$\frac{4+39}{30}-\frac{7}{6}$$

Add 4 and 39 to get 43.

$$\frac{43}{30}-\frac{7}{6}$$

Least common multiple of 30 and 6 is 30. Convert \frac{43}{30} and \frac{7}{6} to fractions with denominator 30.

$$\frac{43}{30}-\frac{35}{30}$$

Since \frac{43}{30} and \frac{35}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{43-35}{30}$$

Subtract 35 from 43 to get 8.

$$\frac{8}{30}$$

Reduce the fraction \frac{8}{30} to lowest terms by extracting and canceling out 2.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$