Solve 21/5-13/10

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

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Multiply 2 and 5 to get 10.

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

Add 10 and 1 to get 11.

$$\frac{11}{5}-\frac{1\times 10+3}{10}$$

Multiply 1 and 10 to get 10.

$$\frac{11}{5}-\frac{10+3}{10}$$

Add 10 and 3 to get 13.

$$\frac{11}{5}-\frac{13}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{11}{5} and \frac{13}{10} to fractions with denominator 10.

$$\frac{22}{10}-\frac{13}{10}$$

Since \frac{22}{10} and \frac{13}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-13}{10}$$

Subtract 13 from 22 to get 9.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$