Solve 11/10+27/20

$$1 \frac { 1 } { 10 } + 2 \frac { 7 } { 20 }$$

Evaluate

$$\frac{69}{20}=3.45$$

Solution Steps

Multiply 1 and 10 to get 10.

$$\frac{10+1}{10}+\frac{2\times 20+7}{20}$$

Add 10 and 1 to get 11.

$$\frac{11}{10}+\frac{2\times 20+7}{20}$$

Multiply 2 and 20 to get 40.

$$\frac{11}{10}+\frac{40+7}{20}$$

Add 40 and 7 to get 47.

$$\frac{11}{10}+\frac{47}{20}$$

Least common multiple of 10 and 20 is 20. Convert \frac{11}{10} and \frac{47}{20} to fractions with denominator 20.

$$\frac{22}{20}+\frac{47}{20}$$

Since \frac{22}{20} and \frac{47}{20} have the same denominator, add them by adding their numerators.

$$\frac{22+47}{20}$$

Add 22 and 47 to get 69.

$$\frac{69}{20}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {2} \cdot 5} = 3\frac{9}{20} = 3.45$$