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Adding Subtracting Fractions

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Adding Subtracting Fractions

Adding Subtracting Fractions

Fraction strips and number line illustration

🍕 Part 1: Adding Fractions with Like Denominators

1. Solve these fraction addition problems. Show your working.

a) 3/8 + 2/8 = _______

b) 5/10 + 1/10 = _______

c) 2/6 + 3/6 = _______

2. Solve these fraction subtraction problems. Show your working.

a) 7/10 - 2/10 = _______

b) 5/8 - 1/8 = _______

🔄 Part 2: Equivalent Fractions

3. Find equivalent fractions to make the denominators the same.

a) 1/4 = ___/8

b) 1/3 = ___/6

c) 2/5 = ___/10

d) 1/2 = ___/8

4. Circle the correct equivalent fraction:

1/4 is equivalent to:

2/8

1/8

4/8

🧮 Part 3: Adding and Subtracting Unlike Denominators

5. Solve these problems by finding common denominators first. Show all your working.

a) 1/4 + 1/8 = ?

Step 1: Change 1/4 to eighths: 1/4 = ___/8

Step 2: Now add: ___/8 + 1/8 = ___/8

b) 1/3 + 1/6 = ?

Step 1: Change 1/3 to sixths: 1/3 = ___/6

Step 2: Now add: ___/6 + 1/6 = ___/6

c) 2/5 + 1/10 = ?

d) 5/6 - 1/3 = ?

🎨 Part 4: Visual Fraction Models

6. Draw fraction strips to show this addition: 1/4 + 2/4
7. Use the number line below to show 1/2 + 1/4. Mark your answer.

Draw a number line from 0 to 1 and show your working:

🏃‍♀️ Part 5: Real-Life Problems

8. Recipe Problem

A recipe needs 1/3 cup of sugar. You want to add 1/6 cup more sugar. How much sugar will you have in total?

Answer: _______ cup of sugar

9. Running Problem

Sarah ran 3/4 km on Monday and 2/8 km on Tuesday. How far did she run altogether?

Answer: _______ km

10. Pizza Problem

Tom ate 2/6 of a pizza and his sister ate 1/6 of the same pizza. What fraction of the pizza did they eat together?

Answer: _______ of the pizza

🤔 Part 6: Reflection and Understanding

11. Multiple choice: When adding fractions with different denominators, what must you do first?

Add the numerators

Find a common denominator

Add the denominators

Multiply the fractions

12. Check all the statements that are TRUE about adding fractions:

When denominators are the same, add the numerators

Always add both numerators and denominators

You need common denominators to add unlike fractions

The denominator tells you how many equal parts the whole is divided into

13. Explain in your own words: Why do we need common denominators when adding fractions with unlike denominators?

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