Solve sqrt{16/100}-36/200

$$\sqrt{ \frac{ 16 }{ 100 } } - \frac{ 36 }{ 200 }$$

Evaluate

$$\frac{11}{50}=0.22$$

Solution Steps

Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{4}{25}}-\frac{36}{200}$$

Rewrite the square root of the division \frac{4}{25} as the division of square roots \frac{\sqrt{4}}{\sqrt{25}}. Take the square root of both numerator and denominator.

$$\frac{2}{5}-\frac{36}{200}$$

Reduce the fraction \frac{36}{200} to lowest terms by extracting and canceling out 4.

$$\frac{2}{5}-\frac{9}{50}$$

Least common multiple of 5 and 50 is 50. Convert \frac{2}{5} and \frac{9}{50} to fractions with denominator 50.

$$\frac{20}{50}-\frac{9}{50}$$

Since \frac{20}{50} and \frac{9}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-9}{50}$$

Subtract 9 from 20 to get 11.

$$\frac{11}{50}$$

Factor

$$\frac{11}{2 \cdot 5 ^ {2}} = 0.22$$