Solve 2/10div2/4+1/2

$$\frac { 2 } { 10 } \div \frac { 2 } { 4 } + \frac { 1 } { 2 }$$

Evaluate

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

Solution Steps

Divide \frac{2}{10} by \frac{2}{4} by multiplying \frac{2}{10} by the reciprocal of \frac{2}{4}.

$$\frac{2\times 4}{10\times 2}+\frac{1}{2}$$

Cancel out 2\times 2 in both numerator and denominator.

$$\frac{2}{5}+\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{2}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{4}{10}+\frac{5}{10}$$

Since \frac{4}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{4+5}{10}$$

Add 4 and 5 to get 9.

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

Factor

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