Solve 23/10+31/5

$$2 \frac { 3 } { 10 } + 3 \frac { 1 } { 5 }$$

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

Multiply 2 and 10 to get 20.

$$\frac{20+3}{10}+\frac{3\times 5+1}{5}$$

Add 20 and 3 to get 23.

$$\frac{23}{10}+\frac{3\times 5+1}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{23}{10}+\frac{15+1}{5}$$

Add 15 and 1 to get 16.

$$\frac{23}{10}+\frac{16}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{23}{10} and \frac{16}{5} to fractions with denominator 10.

$$\frac{23}{10}+\frac{32}{10}$$

Since \frac{23}{10} and \frac{32}{10} have the same denominator, add them by adding their numerators.

$$\frac{23+32}{10}$$

Add 23 and 32 to get 55.

$$\frac{55}{10}$$

Reduce the fraction \frac{55}{10} to lowest terms by extracting and canceling out 5.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$