Solve 17/20+11/12

$$1 \frac { 7 } { 20 } + 1 \frac { 1 } { 12 }$$

Evaluate

$$\frac{73}{30}\approx 2.433333333$$

Solution Steps

Multiply 1 and 20 to get 20.

$$\frac{20+7}{20}+\frac{1\times 12+1}{12}$$

Add 20 and 7 to get 27.

$$\frac{27}{20}+\frac{1\times 12+1}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{27}{20}+\frac{12+1}{12}$$

Add 12 and 1 to get 13.

$$\frac{27}{20}+\frac{13}{12}$$

Least common multiple of 20 and 12 is 60. Convert \frac{27}{20} and \frac{13}{12} to fractions with denominator 60.

$$\frac{81}{60}+\frac{65}{60}$$

Since \frac{81}{60} and \frac{65}{60} have the same denominator, add them by adding their numerators.

$$\frac{81+65}{60}$$

Add 81 and 65 to get 146.

$$\frac{146}{60}$$

Reduce the fraction \frac{146}{60} to lowest terms by extracting and canceling out 2.

$$\frac{73}{30}$$

Factor

$$\frac{73}{2 \cdot 3 \cdot 5} = 2\frac{13}{30} = 2.433333333333333$$