Solve 21/2+23/5-21/5=

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

Evaluate

$$\frac{29}{10}=2.9$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{2\times 5+3}{5}-\frac{2\times 5+1}{5}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+\frac{2\times 5+3}{5}-\frac{2\times 5+1}{5}$$

Multiply 2 and 5 to get 10.

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

Add 10 and 3 to get 13.

$$\frac{5}{2}+\frac{13}{5}-\frac{2\times 5+1}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{5}{2} and \frac{13}{5} to fractions with denominator 10.

$$\frac{25}{10}+\frac{26}{10}-\frac{2\times 5+1}{5}$$

Since \frac{25}{10} and \frac{26}{10} have the same denominator, add them by adding their numerators.

$$\frac{25+26}{10}-\frac{2\times 5+1}{5}$$

Add 25 and 26 to get 51.

$$\frac{51}{10}-\frac{2\times 5+1}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{51}{10}-\frac{10+1}{5}$$

Add 10 and 1 to get 11.

$$\frac{51}{10}-\frac{11}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{51}{10} and \frac{11}{5} to fractions with denominator 10.

$$\frac{51}{10}-\frac{22}{10}$$

Since \frac{51}{10} and \frac{22}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-22}{10}$$

Subtract 22 from 51 to get 29.

$$\frac{29}{10}$$

Factor

$$\frac{29}{2 \cdot 5} = 2\frac{9}{10} = 2.9$$