Solve sqrt{4/25}-4/2+3/5

$$\sqrt { \frac { 4 } { 25 } } - \frac { 4 } { 2 } + \frac { 3 } { 5 }$$

Evaluate

$$-1$$

Solution Steps

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.

$$\frac{2}{5}-\frac{4}{2}+\frac{3}{5}$$

Divide 4 by 2 to get 2.

$$\frac{2}{5}-2+\frac{3}{5}$$

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

$$\frac{2}{5}-\frac{10}{5}+\frac{3}{5}$$

Since \frac{2}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-10}{5}+\frac{3}{5}$$

Subtract 10 from 2 to get -8.

$$-\frac{8}{5}+\frac{3}{5}$$

Since -\frac{8}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{-8+3}{5}$$

Add -8 and 3 to get -5.

$$\frac{-5}{5}$$

Divide -5 by 5 to get -1.

$$-1$$

Factor

$$-1$$