Solve -20-75/frac{60-25{25}}

$$\frac { - 20 - 75 } { \frac { 60 - 25 } { 25 } }$$

Evaluate

$$-\frac{475}{7}\approx -67.857142857$$

Solution Steps

Subtract 75 from -20 to get -95.

$$\frac{-95}{\frac{60-25}{25}}$$

Subtract 25 from 60 to get 35.

$$\frac{-95}{\frac{35}{25}}$$

Reduce the fraction \frac{35}{25} to lowest terms by extracting and canceling out 5.

$$\frac{-95}{\frac{7}{5}}$$

Divide -95 by \frac{7}{5} by multiplying -95 by the reciprocal of \frac{7}{5}.

$$-95\times \frac{5}{7}$$

Express -95\times \frac{5}{7} as a single fraction.

$$\frac{-95\times 5}{7}$$

Multiply -95 and 5 to get -475.

$$\frac{-475}{7}$$

Fraction \frac{-475}{7} can be rewritten as -\frac{475}{7} by extracting the negative sign.

$$-\frac{475}{7}$$

Factor

$$-\frac{475}{7} = -67\frac{6}{7} = -67.85714285714286$$