Solve -51/30:17/54]

$$- \frac { 51 } { 30 } : \frac { 17 } { 54 } ]$$

Evaluate

$$-\frac{27}{5}=-5.4$$

Solution Steps

Reduce the fraction \frac{51}{30} to lowest terms by extracting and canceling out 3.

$$\frac{-\frac{17}{10}}{\frac{17}{54}}$$

Divide -\frac{17}{10} by \frac{17}{54} by multiplying -\frac{17}{10} by the reciprocal of \frac{17}{54}.

$$-\frac{17}{10}\times \frac{54}{17}$$

Multiply -\frac{17}{10} times \frac{54}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-17\times 54}{10\times 17}$$

Do the multiplications in the fraction \frac{-17\times 54}{10\times 17}.

$$\frac{-918}{170}$$

Reduce the fraction \frac{-918}{170} to lowest terms by extracting and canceling out 34.

$$-\frac{27}{5}$$

Factor

$$-\frac{27}{5} = -5\frac{2}{5} = -5.4$$