Solve 23/10+11/2+11/5=

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

Evaluate

$$5$$

Solution Steps

Multiply 2 and 10 to get 20.

$$\frac{20+3}{10}+\frac{1\times 2+1}{2}+\frac{1\times 5+1}{5}$$

Add 20 and 3 to get 23.

$$\frac{23}{10}+\frac{1\times 2+1}{2}+\frac{1\times 5+1}{5}$$

Multiply 1 and 2 to get 2.

$$\frac{23}{10}+\frac{2+1}{2}+\frac{1\times 5+1}{5}$$

Add 2 and 1 to get 3.

$$\frac{23}{10}+\frac{3}{2}+\frac{1\times 5+1}{5}$$

Least common multiple of 10 and 2 is 10. Convert \frac{23}{10} and \frac{3}{2} to fractions with denominator 10.

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

Since \frac{23}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.

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

Add 23 and 15 to get 38.

$$\frac{38}{10}+\frac{1\times 5+1}{5}$$

Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.

$$\frac{19}{5}+\frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{19}{5}+\frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$\frac{19}{5}+\frac{6}{5}$$

Since \frac{19}{5} and \frac{6}{5} have the same denominator, add them by adding their numerators.

$$\frac{19+6}{5}$$

Add 19 and 6 to get 25.

$$\frac{25}{5}$$

Divide 25 by 5 to get 5.

$$5$$

Factor

$$5$$