# How do you evaluate (\frac { 5} { 9} ) ( - \frac { 4} { 5} ) ( \frac { 3} { 8} ) ( - 12)?

2

#### Explanation:

We can write the expression this way (I'm going to put the $- 12$ into a fractional form so that we can better see numerators and denominators):

$\frac{5}{9} \times - \frac{4}{5} \times \frac{3}{8} \times - \frac{12}{1}$

Let's deal with the negative signs first - there are two of them, meaning we have $- 1 \times - 1 = 1$ and so the negative signs cancel:

$\frac{5}{9} \times \frac{4}{5} \times \frac{3}{8} \times \frac{12}{1}$

We have some opportunities to cancel terms:

$\frac{\cancel{5}}{\cancel{9}} ^ 3 \times \frac{\cancel{4}}{\cancel{5}} \times \frac{\cancel{3}}{\cancel{8}} ^ \cancel{2} \times {\cancel{12}}^{6} / 1 = \frac{6}{3} = 2$