Solve -5/3(7/18div14/27)

$$- \frac { 5 } { 3 } ( \frac { 7 } { 18 } \div \frac { 14 } { 27 } )$$

Evaluate

$$-\frac{5}{4}=-1.25$$

Solution Steps

Divide \frac{7}{18} by \frac{14}{27} by multiplying \frac{7}{18} by the reciprocal of \frac{14}{27}.

$$-\frac{5}{3}\times \frac{7}{18}\times \frac{27}{14}$$

Multiply \frac{7}{18} times \frac{27}{14} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{5}{3}\times \frac{7\times 27}{18\times 14}$$

Do the multiplications in the fraction \frac{7\times 27}{18\times 14}.

$$-\frac{5}{3}\times \frac{189}{252}$$

Reduce the fraction \frac{189}{252} to lowest terms by extracting and canceling out 63.

$$-\frac{5}{3}\times \frac{3}{4}$$

Multiply -\frac{5}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 3}{3\times 4}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-5}{4}$$

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$-\frac{5}{4}$$

Factor

$$-\frac{5}{4} = -1\frac{1}{4} = -1.25$$