Solve 42/9:-7/27*4/-5=

$$\frac { 42 } { 9 } : \frac { - 7 } { 27 } \cdot \frac { 4 } { - 5 } =$$

Evaluate

$$\frac{72}{5}=14.4$$

Solution Steps

Divide \frac{42}{9} by \frac{-7}{27} by multiplying \frac{42}{9} by the reciprocal of \frac{-7}{27}.

$$\frac{42\times 27}{9\left(-7\right)}\times \frac{4}{-5}$$

Cancel out 3\times 3\times 7 in both numerator and denominator.

$$\frac{2\times 9}{-1}\times \frac{4}{-5}$$

Multiply 2 and 9 to get 18.

$$\frac{18}{-1}\times \frac{4}{-5}$$

Fraction \frac{18}{-1} can be rewritten as -18 by extracting the negative sign.

$$-18\times \frac{4}{-5}$$

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

$$-18\left(-\frac{4}{5}\right)$$

Express -18\left(-\frac{4}{5}\right) as a single fraction.

$$\frac{-18\left(-4\right)}{5}$$

Multiply -18 and -4 to get 72.

$$\frac{72}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2}}{5} = 14\frac{2}{5} = 14.4$$