Solve 1/2+9/10+m=2

$$1 / 2 + 9 / 10 + m = 2$$

Solve for m

$$m=\frac{3}{5}=0.6$$

Steps for Solving Linear Equation

Least common multiple of 2 and 10 is 10. Convert \frac{1}{2} and \frac{9}{10} to fractions with denominator 10.

$$\frac{5}{10}+\frac{9}{10}+m=2$$

Since \frac{5}{10} and \frac{9}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+9}{10}+m=2$$

Add 5 and 9 to get 14.

$$\frac{14}{10}+m=2$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{5}+m=2$$

Subtract \frac{7}{5} from both sides.

$$m=2-\frac{7}{5}$$

Convert 2 to fraction \frac{10}{5}.

$$m=\frac{10}{5}-\frac{7}{5}$$

Since \frac{10}{5} and \frac{7}{5} have the same denominator, subtract them by subtracting their numerators.

$$m=\frac{10-7}{5}$$

Subtract 7 from 10 to get 3.

$$m=\frac{3}{5}$$