Solve 84/15/-frac{2{5}}

$$\frac{ 8 \frac{ 4 }{ 15 } }{ - \frac{ 2 }{ 5 } }$$

Evaluate

$$-\frac{62}{3}\approx -20.666666667$$

Solution Steps

Divide \frac{8\times 15+4}{15} by -\frac{2}{5} by multiplying \frac{8\times 15+4}{15} by the reciprocal of -\frac{2}{5}.

$$\frac{\left(8\times 15+4\right)\times 5}{15\left(-2\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4+8\times 15}{-2\times 3}$$

Multiply 8 and 15 to get 120.

$$\frac{4+120}{-2\times 3}$$

Add 4 and 120 to get 124.

$$\frac{124}{-2\times 3}$$

Multiply -2 and 3 to get -6.

$$\frac{124}{-6}$$

Reduce the fraction \frac{124}{-6} to lowest terms by extracting and canceling out 2.

$$-\frac{62}{3}$$

Factor

$$-\frac{62}{3} = -20\frac{2}{3} = -20.666666666666668$$