Real-World Examples of Dividing Fractions: Applications for Grade 7.

📚 Quick Study Guide

• 🍕 Dividing Fractions: Dividing by a fraction is the same as multiplying by its reciprocal.
• 🔄 Reciprocal: To find the reciprocal of a fraction, simply flip it (e.g., the reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$).
• ➗ Division Symbol: Remember that $a \div \frac{b}{c} = a \times \frac{c}{b}$.
• ✍️ Mixed Numbers: Convert mixed numbers to improper fractions before dividing. For example, $2\frac{1}{2} = \frac{5}{2}$.
• 💡 Simplifying: Always simplify your answer to its lowest terms.

Practice Quiz

1. What is the result of $\frac{1}{2} \div \frac{1}{4}$?
   1. $\frac{1}{8}$
   2. $\frac{1}{2}$
   3. $2$
   4. $\frac{3}{4}$
2. A pizza is cut into $\frac{1}{8}$ slices. How many slices are there in $\frac{3}{4}$ of the pizza?
   1. 3
   2. 4
   3. 6
   4. 8
3. Sarah has $\frac{2}{3}$ of a chocolate bar. She wants to share it equally with 2 friends. What fraction of the whole chocolate bar does each person get?
   1. $\frac{1}{2}$
   2. $\frac{2}{6}$
   3. $\frac{2}{9}$
   4. $\frac{4}{3}$
4. How many $\frac{1}{3}$ cup servings are in $\frac{5}{6}$ of a cup of yogurt?
   1. $\frac{5}{18}$
   2. $\frac{6}{15}$
   3. $1 \frac{1}{2}$
   4. $2 \frac{1}{2}$
5. John has $3\frac{1}{2}$ meters of rope. He wants to cut it into pieces that are $\frac{1}{4}$ meter long. How many pieces can he cut?
   1. 7
   2. 10
   3. 14
   4. 16
6. A recipe calls for $\frac{2}{5}$ cup of sugar per batch of cookies. If you want to make $\frac{1}{2}$ a batch, how much sugar do you need?
   1. $\frac{1}{5}$
   2. $\frac{2}{10}$
   3. $\frac{4}{5}$
   4. $\frac{5}{4}$
7. What is $2 \div \frac{4}{5}$?
   1. $\frac{8}{5}$
   2. $\frac{5}{2}$
   3. $\frac{1}{5}$
   4. $\frac{2}{5}$