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Fractions with Related Denominators

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Fractions with Related Denominators

Use equivalent fractions to make denominators the same when adding or subtracting. Simplify your answers where possible.

Choose and compare

1.What is 1/3 + 1/6?

2.Choose the sum of 3/4 and 1/8.

4/12
7/8
5/8
1

3.Which fraction is greater: 5/6 or 3/4?

5/6
3/4
They are equal
There is not enough information

4.Select every fraction equivalent to 2/3.

4/6
6/9
8/12
3/5
10/15

Match and calculate

5.Match each fraction to its equivalent fraction. Use each right-hand option once.

8/12
4/6
6/12
6/8

6.Work out 2/5 + 1/10. Show how you rename the fractions.

7.Calculate 7/8 − 1/4. Write the answer in simplest form.

8.Find 5/6 − 1/3. Show your working.

9.A train journey is 3/4 of an hour long. Anahera has travelled for 1/2 of an hour. What fraction of an hour remains? Show your calculation.

10.Explain why 2/3 can be renamed as 4/6 before adding it to 1/6.

Show it on a number line

11.Use the number line to place 0, 1/2 and 1, then add marks for 2/5 and 4/10. What do you notice about 2/5 and 4/10?

12.On a train ride, Kahu reads for 2/3 of an hour and then reads for another 1/6 of an hour. How long does Kahu read altogether? Give your answer in simplest form and show your working.