Solve 11/20+7/15-9/30=

$$\frac { 11 } { 20 } + \frac { 7 } { 15 } - \frac { 9 } { 30 } =$$

Evaluate

$$\frac{43}{60}\approx 0.716666667$$

Solution Steps

Least common multiple of 20 and 15 is 60. Convert \frac{11}{20} and \frac{7}{15} to fractions with denominator 60.

$$\frac{33}{60}+\frac{28}{60}-\frac{9}{30}$$

Since \frac{33}{60} and \frac{28}{60} have the same denominator, add them by adding their numerators.

$$\frac{33+28}{60}-\frac{9}{30}$$

Add 33 and 28 to get 61.

$$\frac{61}{60}-\frac{9}{30}$$

Reduce the fraction \frac{9}{30} to lowest terms by extracting and canceling out 3.

$$\frac{61}{60}-\frac{3}{10}$$

Least common multiple of 60 and 10 is 60. Convert \frac{61}{60} and \frac{3}{10} to fractions with denominator 60.

$$\frac{61}{60}-\frac{18}{60}$$

Since \frac{61}{60} and \frac{18}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{61-18}{60}$$

Subtract 18 from 61 to get 43.

$$\frac{43}{60}$$

Factor

$$\frac{43}{2 ^ {2} \cdot 3 \cdot 5} = 0.7166666666666667$$