Solve -2/5-3/-frac{2{5}+2}

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

Evaluate

$$-\frac{17}{8}=-2.125$$

Solution Steps

Convert 3 to fraction \frac{15}{5}.

$$\frac{-\frac{2}{5}-\frac{15}{5}}{-\frac{2}{5}+2}$$

Since -\frac{2}{5} and \frac{15}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-2-15}{5}}{-\frac{2}{5}+2}$$

Subtract 15 from -2 to get -17.

$$\frac{-\frac{17}{5}}{-\frac{2}{5}+2}$$

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

$$\frac{-\frac{17}{5}}{-\frac{2}{5}+\frac{10}{5}}$$

Since -\frac{2}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$\frac{-\frac{17}{5}}{\frac{-2+10}{5}}$$

Add -2 and 10 to get 8.

$$\frac{-\frac{17}{5}}{\frac{8}{5}}$$

Divide -\frac{17}{5} by \frac{8}{5} by multiplying -\frac{17}{5} by the reciprocal of \frac{8}{5}.

$$-\frac{17}{5}\times \frac{5}{8}$$

Multiply -\frac{17}{5} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-17\times 5}{5\times 8}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-17}{8}$$

Fraction \frac{-17}{8} can be rewritten as -\frac{17}{8} by extracting the negative sign.

$$-\frac{17}{8}$$

Factor

$$-\frac{17}{8} = -2\frac{1}{8} = -2.125$$