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Fraction Fun: Adding & Subtracting

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Fraction Fun: Adding & Subtracting worksheet preview

Adding & Subtracting

Adding & Subtracting Fractions with Unlike Denominators

Fractions illustration

Success Criteria — Can You Do These?

Tick each box when you feel confident:

I can identify when two fractions have different denominators.

I can find a common denominator for two fractions.

I can add and subtract fractions with different denominators accurately.

I can simplify my answer where possible.

Steps to Remember:

Step 1: Find a common denominator.   Step 2: Rename both fractions.   Step 3: Add or subtract the numerators.   Step 4: Simplify if you can!

Example:   1/4 + 1/3 → 3/12 + 4/12 = 7/12

Section 1:

Complete these problems. Show your working in the box below each question. Use fraction strips or a number line if it helps!

1.   1/2 + 1/6 = _______
2.   3/5 − 1/10 = _______
3.   2/3 + 1/4 = _______
4.   4/8 + 1/4 = _______   (Can you simplify your answer?)
5.   5/6 − 1/4 = _______

🔎 Check your work: Does your answer make sense? Is the fraction in its simplest form?

Section 2:

Try these trickier problems. Remember to show all your working and simplify your answers!

6.   1/8 + 3/12 = _______   (Hint: What is the common denominator of 8 and 12?)
7.   3/4 − 2/6 = _______   (Simplify your answer.)


Section 3:

Read carefully, show your working, and write your answer in a full sentence.

10.   Aoife ate 1/3 of a pizza and Ciarán ate 1/4 of the same pizza. What fraction of the pizza did they eat altogether? Did they eat more or less than half the pizza?

Answer: _______________________________________________

11. Tom is making a smoothie. He uses 3/4 of a cup of strawberries and 1/3 of a cup of blueberries. How many cups of fruit does he use in total? Write your answer as a mixed number if needed.

Answer: _______________________________________________

12.   💬 Reflection: In your own words, explain WHY we need to find a common denominator before adding or subtracting fractions. Use the words numerator, denominator, and equivalent in your answer.

🎨 Differentiation Guide for Students

🟢 Getting Started? Focus on Questions 1–5. Use your fraction strips and the steps at the top of the page. Ask your teacher for help finding common denominators.

🟡 On Track? Complete Questions 1–10. Check that you simplify your answers and write a sentence for Question 10.

🔴 Ready for More? Complete all questions including 8, 9, and 11. Can you create your own fraction word problem on the back of this sheet and solve it?

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