Real-world examples of dividing fractions (Keep Change Flip)

📚 Quick Study Guide

🔢 Dividing Fractions: Keep, Change, Flip
• ➡️ Keep: Keep the first fraction as it is.
🔄 Change: Change the division sign ($\div$) to a multiplication sign ($\times$). Flip: Flip the second fraction (the divisor) by swapping its numerator and denominator (finding its reciprocal). Multiply: Multiply the first fraction by the flipped second fraction. Simplify: Simplify the resulting fraction if possible.

Practice Quiz

1. What real-world scenario could involve dividing fractions?
1. (A) Calculating the total cost of items at a store.
2. (B) Sharing a pizza equally among friends.
3. (C) Measuring the distance between two cities.
4. (D) Determining the age of a tree.
2. Sarah has $\frac{3}{4}$ of a cake left. She wants to give each of her 5 friends an equal share. What fraction of the whole cake does each friend receive?
1. (A) $\frac{3}{20}$
2. (B) $\frac{15}{4}$
3. (C) $\frac{4}{15}$
4. (D) $\frac{20}{3}$
3. A recipe calls for $\frac{2}{3}$ cup of flour. You only want to make half of the recipe. How much flour do you need?
1. (A) $\frac{1}{3}$ cup
2. (B) $\frac{4}{3}$ cups
3. (C) $\frac{2}{6}$ cup
4. (D) $\frac{3}{2}$ cups
4. John has a piece of wood that is $\frac{9}{10}$ of a meter long. He needs to cut it into pieces that are each $\frac{3}{50}$ of a meter long. How many pieces can he cut?
1. (A) 15
2. (B) $\frac{27}{500}$
3. (C) $\frac{500}{27}$
4. (D) 3
5. You have $\frac{7}{8}$ of a bottle of juice and want to pour it equally into 3 glasses. How much juice goes into each glass?
1. (A) $\frac{7}{24}$
2. (B) $\frac{21}{8}$
3. (C) $\frac{8}{21}$
4. (D) $\frac{24}{7}$
6. A garden is $\frac{5}{6}$ of an acre. If you want to divide the garden into 4 equal sections, how large will each section be?
1. (A) $\frac{5}{24}$ acre
2. (B) $\frac{20}{6}$ acres
3. (C) $\frac{6}{20}$ acre
4. (D) $\frac{24}{5}$ acres
7. If $\frac{2}{5}$ of a class are girls, and you want to divide the girls into 3 equal groups for a project, what fraction of the whole class is each group of girls?
1. (A) $\frac{2}{15}$
2. (B) $\frac{6}{5}$
3. (C) $\frac{5}{6}$
4. (D) $\frac{2}{8}$