Solve 13/60+18/20+9/10

$$\frac { 13 } { 60 } + \frac { 18 } { 20 } + \frac { 9 } { 10 }$$

Evaluate

$$\frac{121}{60}\approx 2.016666667$$

Solution Steps

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

$$\frac{13}{60}+\frac{9}{10}+\frac{9}{10}$$

Least common multiple of 60 and 10 is 60. Convert \frac{13}{60} and \frac{9}{10} to fractions with denominator 60.

$$\frac{13}{60}+\frac{54}{60}+\frac{9}{10}$$

Since \frac{13}{60} and \frac{54}{60} have the same denominator, add them by adding their numerators.

$$\frac{13+54}{60}+\frac{9}{10}$$

Add 13 and 54 to get 67.

$$\frac{67}{60}+\frac{9}{10}$$

Least common multiple of 60 and 10 is 60. Convert \frac{67}{60} and \frac{9}{10} to fractions with denominator 60.

$$\frac{67}{60}+\frac{54}{60}$$

Since \frac{67}{60} and \frac{54}{60} have the same denominator, add them by adding their numerators.

$$\frac{67+54}{60}$$

Add 67 and 54 to get 121.

$$\frac{121}{60}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{1}{60} = 2.0166666666666666$$