Multiply. 2 x 1 2/3

Question

Write your answer as a mixed number in simplest form.

Answer 1

To multiply $2$ by $1\frac{2}{3}$, we first convert the mixed number $1\frac{2}{3}$ into an improper fraction.

1. Convert $1\frac{2}{3}$ to an improper fraction: $$1\frac{2}{3}=\frac{3\times 1+2}{3}=\frac{3+2}{3}=\frac{5}{3}$$

2. Now multiply $2$ by $\frac{5}{3}$: $$2\times \frac{5}{3}=\frac{2\times 5}{1\times 3}=\frac{10}{3}$$

3. Now convert $\frac{10}{3}$ into a mixed number: $$10÷3=3\text{(integer part)}$$ $$10-(3\times 3)=10-9=1\text{(remainder)}$$

   So, $\frac{10}{3}=3\frac{1}{3}$.

Therefore, the answer is: $$\boxed{{\displaystyle 3\frac{1}{3}}}$$