Real-world examples of adding fractions with unlike denominators.

📚 Quick Study Guide

• 🍎 To add fractions with unlike denominators, you first need to find a common denominator.
• 📝 The least common denominator (LCD) is the smallest multiple that the denominators share.
• ➕ Once you have a common denominator, you can add the numerators.
• ➗ Simplify the resulting fraction if possible.
• 💡 Remember, you can only add fractions if they have the same denominator!
• ➗ To find the LCD, list the multiples of each denominator until you find a common multiple.
• ➗ Alternatively, you can use prime factorization to find the LCD.

Practice Quiz

1. What is the first step in adding $\frac{1}{3}$ and $\frac{1}{4}$?
1. Find the greatest common factor (GCF)
2. Find the least common denominator (LCD)
3. Add the numerators
4. Simplify the fractions
2. Sarah ate $\frac{1}{2}$ of a pizza, and John ate $\frac{1}{3}$ of the same pizza. How much of the pizza did they eat in total?
1. $\frac{2}{5}$
2. $\frac{5}{6}$
3. $\frac{1}{6}$
4. $\frac{2}{6}$
3. What is the sum of $\frac{2}{5}$ and $\frac{1}{10}$?
1. $\frac{3}{15}$
2. $\frac{5}{10}$
3. $\frac{1}{5}$
4. $\frac{1}{2}$
4. A recipe calls for $\frac{1}{4}$ cup of sugar and $\frac{2}{3}$ cup of flour. What is the total amount of dry ingredients needed?
1. $\frac{3}{7}$ cup
2. $\frac{11}{12}$ cup
3. $\frac{1}{2}$ cup
4. $\frac{3}{4}$ cup
5. What is the least common denominator of $\frac{1}{6}$ and $\frac{3}{8}$?
1. 6
2. 8
3. 24
4. 48
6. If you walk $\frac{2}{7}$ of a mile on Monday and $\frac{1}{3}$ of a mile on Tuesday, how far did you walk in total?
1. $\frac{3}{10}$ mile
2. $\frac{13}{21}$ mile
3. $\frac{2}{21}$ mile
4. $\frac{1}{5}$ mile
7. What is $\frac{3}{4}$ + $\frac{1}{5}$?
1. $\frac{4}{9}$
2. $\frac{19}{20}$
3. $\frac{3}{20}$
4. $\frac{4}{5}$