Solve 49/20/-frac{28{15}}

$$\frac { \frac { 49 } { 20 } } { - \frac { 28 } { 15 } }$$

Evaluate

$$-\frac{21}{16}=-1.3125$$

Solution Steps

Divide \frac{49}{20} by -\frac{28}{15} by multiplying \frac{49}{20} by the reciprocal of -\frac{28}{15}.

$$\frac{49}{20}\left(-\frac{15}{28}\right)$$

Multiply \frac{49}{20} times -\frac{15}{28} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\left(-15\right)}{20\times 28}$$

Do the multiplications in the fraction \frac{49\left(-15\right)}{20\times 28}.

$$\frac{-735}{560}$$

Reduce the fraction \frac{-735}{560} to lowest terms by extracting and canceling out 35.

$$-\frac{21}{16}$$

Factor

$$-\frac{21}{16} = -1\frac{5}{16} = -1.3125$$