Solve 10.5+2div5

$$10.5+2 \div 5$$

Evaluate

$$10.9$$

Solution Steps

Convert decimal number 10.5 to fraction \frac{105}{10}. Reduce the fraction \frac{105}{10} to lowest terms by extracting and canceling out 5.

$$\frac{21}{2}+\frac{2}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{21}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{105}{10}+\frac{4}{10}$$

Since \frac{105}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{105+4}{10}$$

Add 105 and 4 to get 109.

$$\frac{109}{10}$$

Factor

$$\frac{109}{2 \cdot 5} = 10\frac{9}{10} = 10.9$$