1. **Problem:** If you have $\frac{3}{4}$ of a chocolate bar and you want to divide it into portions each of size $\frac{1}{2}$ of a chocolate bar, how many portions can you get? **Solution:** To find how many $\frac{1}{2}$ portions fit into $\frac{3}{4}$, divide: $$\frac{3}{4} \div \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} = \frac{3 \times 2}{4 \times 1} = \frac{6}{4} = \frac{3}{2} = 1 \frac{1}{2}$$ So, you can get $1 \frac{1}{2}$ portions. 2. **Problem:** A recipe requires $\frac{2}{3}$ cup of sugar, but you only have spoons that hold $\frac{1}{4}$ cup each. How many spoons of sugar do you need? **Solution:** Divide the total sugar by the spoon size: $$\frac{2}{3} \div \frac{1}{4} = \frac{2}{3} \times \frac{4}{1} = \frac{8}{3} = 2 \frac{2}{3}$$ So, you need $2 \frac{2}{3}$ spoons. 3. **Problem:** You have $\frac{5}{6}$ of a yard of fabric and want to cut pieces each $\frac{1}{3}$ yard long. How many pieces can you cut? **Solution:** Divide: $$\frac{5}{6} \div \frac{1}{3} = \frac{5}{6} \times \frac{3}{1} = \frac{15}{6} = \frac{5}{2} = 2 \frac{1}{2}$$ You can cut $2 \frac{1}{2}$ pieces. 4. **Problem:** A car travels $\frac{7}{8}$ of a mile in one minute. How many $\frac{1}{4}$ mile segments does the car travel in one minute? **Solution:** Divide: $$\frac{7}{8} \div \frac{1}{4} = \frac{7}{8} \times \frac{4}{1} = \frac{28}{8} = \frac{7}{2} = 3 \frac{1}{2}$$ The car travels $3 \frac{1}{2}$ segments. 5. **Problem:** You have $\frac{4}{5}$ cup of paint and each small can holds $\frac{2}{5}$ cup. How many small cans can you fill? **Solution:** Divide: $$\frac{4}{5} \div \frac{2}{5} = \frac{4}{5} \times \frac{5}{2} = \frac{20}{10} = 2$$ You can fill 2 small cans. **Answer Key:** 1) $1 \frac{1}{2}$ portions 2) $2 \frac{2}{3}$ spoons 3) $2 \frac{1}{2}$ pieces 4) $3 \frac{1}{2}$ segments 5) 2 small cans