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Combining Fractions Worksheet

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Combining Fractions Worksheet

Combining Fractions Worksheet

Fraction wall illustration

🧮 Part 1: Introduction to Adding Fractions

Kia ora! Today we're learning to combine fractions (panga) with like denominators.

Remember: When fractions have the same denominator (raro nama), we add the numerators (runga nama) and keep the denominator the same.

Example: 2/8 + 3/8 = 5/8

1. Complete these fraction additions with like denominators:

a) 1/4 + 2/4 = _____

b) 3/7 + 2/7 = _____

c) 2/10 + 5/10 = _____

d) 1/6 + 3/6 = _____

📏 Part 2: Visual Fraction Wall and Number Line Exercises

2. Use the fraction wall below to help you add these fractions. Draw your working:

a) 1/8 + 3/8 = _____

b) 2/6 + 1/6 = _____

c) 4/12 + 5/12 = _____

3. Show these additions on a number line. Draw and mark your answers:

a) 1/5 + 2/5

b) 3/10 + 4/10

🔢 Part 3: Finding Common Denominators

4. For fractions with different denominators, we need to find a common denominator first. Complete these:

a) 1/2 + 1/4

First, change 1/2 to fourths: 1/2 = ___/4

Now add: ___/4 + 1/4 = ___/4

b) 1/3 + 1/6

First, change 1/3 to sixths: 1/3 = ___/6

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

5. Find the common denominator and add:

a) 2/5 + 1/10 = _____

b) 3/4 + 1/8 = _____

c) 1/2 + 2/6 = _____

🍞 Part 4: Real-life Application Problems

6. Sharing Kai (Food) Problems:

a) At the marae, Aroha ate 2/8 of a rewena bread and Tane ate 3/8 of the same bread. What fraction of the bread did they eat altogether?

b) During lunch, the class shared a large pizza. Group 1 ate 3/12 of the pizza and Group 2 ate 4/12. How much pizza was eaten in total?

c) Koro is making hangi. He used 1/4 of his kumara in the morning and 1/2 in the afternoon. What fraction of kumara did he use altogether? (Hint: Find a common denominator first!)

7. Resource Sharing Problem:

A wharenui needs painting. On Monday, 2/10 of the wall was painted. On Tuesday, 3/10 more was completed. What fraction of the wall is now painted?

💬 Part 5: Mathematical Language - Te Reo Māori and English

8. Match the mathematical terms with their Te Reo Māori equivalents:
1. Fraction
2. Numerator
3. Denominator
4. Addition
A. Raro nama
B. Tāpiri
C. Panga
D. Runga nama
9. Explain your working for question 6c using both English and Te Reo Māori mathematical language:
10. Choose one problem from Part 4 and explain your strategy in your own words (use both languages if you can):

🎯 Part 6: Challenge Questions

11. Circle the correct answers for these fraction additions:

3/5 + 1/10 = ?

4/15

7/10

4/10

1/3 + 1/6 + 1/6 = ?

3/15

2/3

4/6

12. Check all the equivalent fractions for 3/4:

6/8

9/12

12/15

15/20

13. Create your own real-life fraction problem involving adding fractions with different denominators:
Now solve your problem:

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