Solve 7/2+9/10+11/2

$$\frac { 7 } { 2 } + \frac { 9 } { 10 } + \frac { 11 } { 2 }$$

Evaluate

$$\frac{99}{10}=9.9$$

Solution Steps

Least common multiple of 2 and 10 is 10. Convert \frac{7}{2} and \frac{9}{10} to fractions with denominator 10.

$$\frac{35}{10}+\frac{9}{10}+\frac{11}{2}$$

Since \frac{35}{10} and \frac{9}{10} have the same denominator, add them by adding their numerators.

$$\frac{35+9}{10}+\frac{11}{2}$$

Add 35 and 9 to get 44.

$$\frac{44}{10}+\frac{11}{2}$$

Reduce the fraction \frac{44}{10} to lowest terms by extracting and canceling out 2.

$$\frac{22}{5}+\frac{11}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{22}{5} and \frac{11}{2} to fractions with denominator 10.

$$\frac{44}{10}+\frac{55}{10}$$

Since \frac{44}{10} and \frac{55}{10} have the same denominator, add them by adding their numerators.

$$\frac{44+55}{10}$$

Add 44 and 55 to get 99.

$$\frac{99}{10}$$

Factor

$$\frac{3 ^ {2} \cdot 11}{2 \cdot 5} = 9\frac{9}{10} = 9.9$$