Solve 4/10+9/100

$$\frac { 4 } { 10 } + \frac { 9 } { 100 }$$

Evaluate

$$\frac{49}{100}=0.49$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}+\frac{9}{100}$$

Least common multiple of 5 and 100 is 100. Convert \frac{2}{5} and \frac{9}{100} to fractions with denominator 100.

$$\frac{40}{100}+\frac{9}{100}$$

Since \frac{40}{100} and \frac{9}{100} have the same denominator, add them by adding their numerators.

$$\frac{40+9}{100}$$

Add 40 and 9 to get 49.

$$\frac{49}{100}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 0.49$$