Solve (-38/4):(20/3)

$$( - \frac { 38 } { 4 } ) : ( \frac { 20 } { 3 } )$$

Evaluate

$$-\frac{57}{40}=-1.425$$

Solution Steps

Reduce the fraction \frac{38}{4} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{19}{2}}{\frac{20}{3}}$$

Divide -\frac{19}{2} by \frac{20}{3} by multiplying -\frac{19}{2} by the reciprocal of \frac{20}{3}.

$$-\frac{19}{2}\times \frac{3}{20}$$

Multiply -\frac{19}{2} times \frac{3}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-19\times 3}{2\times 20}$$

Do the multiplications in the fraction \frac{-19\times 3}{2\times 20}.

$$\frac{-57}{40}$$

Fraction \frac{-57}{40} can be rewritten as -\frac{57}{40} by extracting the negative sign.

$$-\frac{57}{40}$$

Factor

$$-\frac{57}{40} = -1\frac{17}{40} = -1.425$$