Solve 14/378/28*-20/3

$$\frac { 14 } { 3 } \frac { 78 } { 28 } \times \frac { - 20 } { 3 }$$

Evaluate

$$-\frac{260}{3}\approx -86.666666667$$

Solution Steps

Reduce the fraction \frac{78}{28} to lowest terms by extracting and canceling out 2.

$$\frac{14}{3}\times \frac{39}{14}\times \frac{-20}{3}$$

Multiply \frac{14}{3} times \frac{39}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 39}{3\times 14}\times \frac{-20}{3}$$

Cancel out 14 in both numerator and denominator.

$$\frac{39}{3}\times \frac{-20}{3}$$

Divide 39 by 3 to get 13.

$$13\times \frac{-20}{3}$$

Fraction \frac{-20}{3} can be rewritten as -\frac{20}{3} by extracting the negative sign.

$$13\left(-\frac{20}{3}\right)$$

Express 13\left(-\frac{20}{3}\right) as a single fraction.

$$\frac{13\left(-20\right)}{3}$$

Multiply 13 and -20 to get -260.

$$\frac{-260}{3}$$

Fraction \frac{-260}{3} can be rewritten as -\frac{260}{3} by extracting the negative sign.

$$-\frac{260}{3}$$

Factor

$$-\frac{260}{3} = -86\frac{2}{3} = -86.66666666666667$$