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Adding Fractions Related Denominators

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Adding Fractions Related Denominators

Adding Fractions Related Denominators

Fraction strips and number line illustration

🔢 Part 1: Same Denominators Review

1. Add these fractions with the same denominators:

a) 2/8 + 3/8 = _______

b) 1/5 + 3/5 = _______

c) 4/10 + 2/10 = _______

2. Subtract these fractions with the same denominators:

a) 7/9 - 2/9 = _______

b) 5/6 - 1/6 = _______

c) 8/12 - 3/12 = _______

🔗 Part 2: Understanding Related Denominators

3. What are related denominators? Tick the correct answer:

Denominators that are the same number

Denominators where one is a multiple of the other

Denominators that are both odd numbers

Denominators that add up to 10

4. Which pairs have related denominators? Tick all that apply:

1/2 and 3/4

1/3 and 2/9

2/5 and 1/7

3/8 and 1/4

1/6 and 5/12

⚖️ Part 3: Finding Equivalent Fractions

5. Complete these equivalent fractions to find common denominators:

a) 1/2 = ___/4

b) 1/3 = ___/6

c) 3/4 = ___/8

d) 2/5 = ___/10

e) 1/4 = ___/12

6. Show your working to convert these fractions to have a common denominator:

Convert 1/2 and 3/8 to have the same denominator:

Convert 2/3 and 1/6 to have the same denominator:

➕ Part 4: Adding Fractions with Related Denominators

7. Add these fractions with related denominators. Show all your working:

a) 1/4 + 3/8 =

b) 1/2 + 1/6 =

c) 2/3 + 1/9 =

d) 3/5 + 1/10 =

➖ Part 5: Subtracting Fractions with Related Denominators

8. Subtract these fractions with related denominators. Show all your working:

a) 3/4 - 1/8 =

b) 5/6 - 1/3 =

c) 7/10 - 2/5 =

d) 5/9 - 1/3 =

🤔 Part 6: Problem Solving

9. Sarah ate 1/4 of a pizza and Tom ate 3/8 of the same pizza. How much pizza did they eat altogether?

Answer: ____________

10. A recipe calls for 2/3 cup of flour. If you have already added 1/6 cup, how much more flour do you need to add?

Answer: ____________

11. Match the addition problems with their correct answers:
1. 1/2 + 1/4
2. 1/3 + 1/6
3. 2/5 + 1/10
4. 1/4 + 1/8
A. 3/8
B. 1/2
C. 3/4
D. 1/2

💭 Part 7: Reflection and Understanding

12. Explain in your own words why fractions must have a common denominator before you can add or subtract them:
13. Draw a diagram or number line to show how to add 1/2 + 1/4:
14. What is one thing you learned today about adding fractions with related denominators?
15. What is one question you still have about fractions?

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