# What is -3 2/3 times -4 1/2?

Mar 29, 2017

$- 3 \frac{2}{3} \times - 4 \frac{1}{2} = 16 \frac{1}{2}$

#### Explanation:

$- 3 \frac{2}{3}$ times $- 4 \frac{1}{2}$ means multiplying these two numbers. As we have to multiply two negative numbers, product will be positive .

Now $3 \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{11}{3}$

and $4 \frac{1}{2} = \frac{2 \times 4 + 1}{2} = \frac{9}{2}$

Hence $- 3 \frac{2}{3} \times - 4 \frac{1}{2} = \frac{11}{3} \times \frac{9}{2}$

= $\frac{11}{{\cancel{3}}^{1}} \times \frac{{\cancel{9}}^{3}}{2}$

= $\frac{33}{2}$

= $\frac{32 + 1}{2} = \frac{16 \times 2 + 1}{2} = 16 \frac{1}{2}$