Solve 27/10+1/15-(1/20

$$2 \frac { 7 } { 10 } + \frac { 1 } { 15 } - ( \frac { 1 } { 20 }$$

Evaluate

$$\frac{163}{60}\approx 2.716666667$$

Solution Steps

Multiply 2 and 10 to get 20.

$$\frac{20+7}{10}+\frac{1}{15}-\frac{1}{20}$$

Add 20 and 7 to get 27.

$$\frac{27}{10}+\frac{1}{15}-\frac{1}{20}$$

Least common multiple of 10 and 15 is 30. Convert \frac{27}{10} and \frac{1}{15} to fractions with denominator 30.

$$\frac{81}{30}+\frac{2}{30}-\frac{1}{20}$$

Since \frac{81}{30} and \frac{2}{30} have the same denominator, add them by adding their numerators.

$$\frac{81+2}{30}-\frac{1}{20}$$

Add 81 and 2 to get 83.

$$\frac{83}{30}-\frac{1}{20}$$

Least common multiple of 30 and 20 is 60. Convert \frac{83}{30} and \frac{1}{20} to fractions with denominator 60.

$$\frac{166}{60}-\frac{3}{60}$$

Since \frac{166}{60} and \frac{3}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{166-3}{60}$$

Subtract 3 from 166 to get 163.

$$\frac{163}{60}$$

Factor

$$\frac{163}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{43}{60} = 2.716666666666667$$