Solve -(20)/(35)/frac{(5){(17,5)}}

$$\frac { - \frac { ( 20 ) } { ( 35 ) } } { \frac { ( 5 ) } { ( 17,5 ) } }$$

Evaluate

$$-2$$

Solution Steps

Reduce the fraction \frac{20}{35} to lowest terms by extracting and canceling out 5.

$$\frac{-\frac{4}{7}}{\frac{5}{17,5}}$$

Expand \frac{5}{17,5} by multiplying both numerator and the denominator by 10.

$$\frac{-\frac{4}{7}}{\frac{50}{175}}$$

Reduce the fraction \frac{50}{175} to lowest terms by extracting and canceling out 25.

$$\frac{-\frac{4}{7}}{\frac{2}{7}}$$

Divide -\frac{4}{7} by \frac{2}{7} by multiplying -\frac{4}{7} by the reciprocal of \frac{2}{7}.

$$-\frac{4}{7}\times \frac{7}{2}$$

Multiply -\frac{4}{7} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 7}{7\times 2}$$

Cancel out 7 in both numerator and denominator.

$$\frac{-4}{2}$$

Divide -4 by 2 to get -2.

$$-2$$

Factor

$$-2$$