4.) You can weed $$ 2 \frac{2}{3} $$ square yards in $$ 1 / 2 $$ hour. How many square yards can you weed in 4 hours?

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1. First, convert $$2\frac{2}{3}$$ to an improper fraction:

$$
2\frac{2}{3} = \frac{(2 \times 3) + 2}{3} = \frac{6+2}{3} = \frac{8}{3}
$$

2. Find the rate (square yards per hour). Since you can weed $$\frac{8}{3}$$ square yards in $$\frac{1}{2}$$ hour, the rate is:

$$
\text{Rate} = \frac{\frac{8}{3}}{\frac{1}{2}} = \frac{8}{3} \times \frac{2}{1} = \frac{16}{3} \text{ square yards per hour}
$$

3. Calculate the number of square yards that can be weeded in 4 hours:

$$
\text{Total square yards} = \frac{16}{3} \times 4 = \frac{16 \times 4}{3} = \frac{64}{3}
$$

4. Express $$\frac{64}{3}$$ as a mixed number:

$$
\frac{64}{3} = 21\frac{1}{3}
$$

Thus, in 4 hours, you can weed $$ \frac{64}{3} $$ square yards, which is equivalent to $$ 21\frac{1}{3} $$ square yards.
You can weed $$ 21\frac{1}{3} $$ square yards in 4 hours.

4.) You can weed \( 2 \frac{2}{3} \) square yards in \( 1 / 2 \) hour. How many square yards can you weed in 4 hours?

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