Fraction Word Problems

Grade 5 · fractions · 91 practice problems · read aloud

🔊 Listen to this explanation

🧮 What Are Fraction Word Problems?

Fraction word problems are math puzzles that use real-life situations and fractions. They help us understand how to use fractions in everyday life, like sharing a pizza, measuring ingredients for a recipe, or dividing up a bag of candy with friends. Learning this makes you a fraction expert in the real world!

📝 How to Solve Fraction Word Problems: Step-by-Step

  1. Read Carefully: Understand the story. What is the problem asking?
  2. Find the Key Numbers: Look for the fractions and whole numbers in the problem.
  3. Picture It: Draw a model or diagram. This helps you "see" the math.
  4. Choose the Operation: Decide if you need to add, subtract, multiply, or divide.
  5. Solve It: Do the math carefully with your fractions.
  6. Check Your Answer: Does your answer make sense with the story?

🔍 Visual Examples

Example 1: The Pizza Party

Sarah ate 3/8 of a pizza, and Tom ate 2/8. What fraction of the pizza did they eat together?

  1. Operation: Addition (we are combining parts).
  2. Solve: 3/8 + 2/8 = 5/8.
  3. Answer: They ate 5/8 of the pizza.

🎨 Visual: Draw a circle split into 8 slices. Color 3 for Sarah and 2 for Tom. You'll see 5 colored slices!

Example 2: The Chocolate Bar

Liam had a chocolate bar. He gave 1/4 of it to his sister. How much does he have left?

  1. Think: The whole bar is 1, or 4/4.
  2. Operation: Subtraction (he gave some away).
  3. Solve: 4/4 - 1/4 = 3/4.
  4. Answer: Liam has 3/4 of the bar left.

⚠️ Common Mistakes to Avoid

  • Adding Denominators: Never add the bottom numbers (denominators)! 1/4 + 1/4 is 2/4, NOT 2/8.
  • Forgetting the Whole: Remember that "one whole" can be written as a fraction (like 3/3, 5/5).
  • Rushing: Read the problem slowly. The words "left," "more than," or "altogether" tell you what to do.

💡 Tips & Tricks

  • Key Word Clues:
    • "Altogether," "total," "sum" → usually means add.
    • "Left," "remain," "difference" → usually means subtract.
    • "Of" → often means multiply (like 1/2 of 12 is 1/2 × 12).
  • Draw, Draw, Draw! A simple picture can make a tricky problem easy.

🎯 How to Practice

The best way to get better is to practice! Try these ideas:

  • Make up your own fraction stories about food, money, or time.
  • Use online math games that focus on fraction word problems.
  • Practice with a friend and explain your steps to each other.
  • Always draw a model for your first few problems until you feel confident.

Practice problems

6 of the 91, worked through step by step — try them before opening the answer.

1 3/4 + 1/6 = ?

Hint: To add fractions, they need to have the same denominator. Find a common denominator for both fractions before adding.

Show the answer

Answer: 11/12

  1. Find a common denominator for 3/4 and 1/6. The least common multiple of 4 and 6 is 12.
  2. Convert 3/4 to have denominator 12: 3/4 = (3 × 3)/(4 × 3) = 9/12
  3. Convert 1/6 to have denominator 12: 1/6 = (1 × 2)/(6 × 2) = 2/12
  4. Add the fractions: 9/12 + 2/12 = 11/12
  5. Check if the fraction can be simplified: 11/12 is already in simplest form.

The answer is 11/12.

2 5/8 + 2/3 = ?

Hint: To add fractions with different denominators, first find a common denominator that both denominators divide into evenly.

Show the answer

Answer: 31/24

  1. Find a common denominator for 5/8 and 2/3. The least common multiple of 8 and 3 is 24.
  2. Convert 5/8 to have denominator 24: 5/8 = (5 × 3)/(8 × 3) = 15/24
  3. Convert 2/3 to have denominator 24: 2/3 = (2 × 8)/(3 × 8) = 16/24
  4. Add the fractions: 15/24 + 16/24 = 31/24
  5. Check if the fraction can be simplified: 31/24 is already in simplest form since 31 and 24 have no common factors.

The answer is 31/24.

3 2/3 + 3/5 = ?

Hint: To add fractions with different denominators, find a common denominator first. For example, to add 1/2 and 1/3, you would find a common denominator of 6.

Show the answer

Answer: 19/15

  1. Find a common denominator for 2/3 and 3/5. The least common multiple of 3 and 5 is 15.
  2. Convert 2/3 to have denominator 15: 2/3 = (2 × 5)/(3 × 5) = 10/15
  3. Convert 3/5 to have denominator 15: 3/5 = (3 × 3)/(5 × 3) = 9/15
  4. Add the fractions: 10/15 + 9/15 = 19/15
  5. Check if the fraction can be simplified: 19/15 is already in simplest form.

The answer is 19/15.

4 3/5 + 2/7 = ?

Hint: To add fractions with different denominators, find a common denominator that both denominators divide into evenly.

Show the answer

Answer: 31/35

  1. Find a common denominator for 3/5 and 2/7. The least common multiple of 5 and 7 is 35.
  2. Convert 3/5 to have denominator 35: 3/5 = (3 × 7)/(5 × 7) = 21/35
  3. Convert 2/7 to have denominator 35: 2/7 = (2 × 5)/(7 × 5) = 10/35
  4. Add the fractions: 21/35 + 10/35 = 31/35
  5. Check if the fraction can be simplified: 31/35 is already in simplest form since 31 and 35 have no common factors.

The answer is 31/35.

5 2/3 + 5/8 = ?

Hint: When adding fractions with different denominators, find a common denominator first. For example, to add 1/4 and 1/3, you would find a common denominator of 12.

Show the answer

Answer: 31/24

  1. Identify the fractions to add: 2/3 and 5/8
  2. Find a common denominator. The least common multiple of 3 and 8 is 24.
  3. Convert 2/3 to have denominator 24: (2 × 8)/(3 × 8) = 16/24
  4. Convert 5/8 to have denominator 24: (5 × 3)/(8 × 3) = 15/24
  5. Add the fractions: 16/24 + 15/24 = 31/24
  6. Check if the fraction can be simplified: 31/24 is already in simplest form since 31 and 24 have no common factors.

The answer is 31/24.

6 3/5 + 1/6 = ?

Hint: When adding fractions with different denominators, first find a common denominator that both denominators divide into evenly.

Show the answer

Answer: 23/30

  1. Identify the fractions to add: 3/5 and 1/6
  2. Find a common denominator. The least common multiple of 5 and 6 is 30.
  3. Convert 3/5 to have denominator 30: (3 × 6)/(5 × 6) = 18/30
  4. Convert 1/6 to have denominator 30: (1 × 5)/(6 × 5) = 5/30
  5. Add the fractions: 18/30 + 5/30 = 23/30
  6. Check if the fraction can be simplified: 23/30 is already in simplest form since 23 and 30 have no common factors.

The answer is 23/30.

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