Fractions · Ages 8–9

What a fraction is worksheet

Part of: First fractions

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Fractions · Ages 8–9

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.The rectangle is cut into equal parts. What fraction of it is shaded?
Answer in simplest form
Answer:
2.15 means a whole cut into equal parts, with of them taken.
Fill in each blank
Answer:
3.19 means a whole cut into equal parts, with of them taken.
Fill in each blank
Answer:
4.20 counters are shared into 5 equal groups, a row each. What fraction of them are the 4 shaded counters?
Answer in simplest form
Answer:
5.What is 49 of 63 apples?
Answer:
6.A bag holds 5 red marbles and 3 blue ones, so red is 58 of the marbles. After 1 more blue marble goes in, what fraction of the marbles is red?
Answer in simplest form
Answer:
7.The circle is cut into equal slices. What fraction of it is NOT shaded?
Answer in simplest form
Answer:
8.A bag holds 3 red marbles and 4 blue ones, so red is 37 of the marbles. After 1 more blue marble goes in, what fraction of the marbles is red?
Answer in simplest form
Answer:
9.What is 69 of 27 kiwis?
Answer:

10.The rectangle is cut into 4 parts, so the shaded part is 14 of it.
True or false?
Answer:
11.Which picture has 38 shaded?
- A
- B
- C
- D
Choose the right picture
Answer:
12.Which picture has 68 shaded?
- A
- B
- C
- D
Choose the right picture
Answer:

13.A ribbon is cut into 10 equal pieces and 7 are used. What fraction of the ribbon is left?
Answer in simplest form
Working:
Answer:
14.A box holds 42 colouring pens, and 16 of them are red. How many red pens are there?
Working:
Answer:
15.A pizza is cut into 6 equal slices and Ka-yan eats 5 of them. What fraction of the pizza does Ka-yan eat?
Answer in simplest form
Working:
Answer:
16.20 pears are shared equally among 5 people. Each gets , which is 1 of all the pears.
Fill in each blank
Working:
Answer:
17.Ka-yan's pencil case holds 3 red pens and 5 blue pens. Ka-yan puts in 1 more red pen. What fraction of the pens in the case are red now?
Answer in simplest form
Working:
Answer:
18.8 pears are shared equally among 4 people. Each gets , which is 1 of all the pears.
Fill in each blank
Working:
Answer:

Show the answers and working

What a fraction is worksheet: Answers and working

1. 34
Count how many equal parts the rectangle has: that's the denominator. Then count the shaded parts: that's the numerator.
4 equal parts, 3 shaded: 34.
2. 5, 1
The denominator is how many equal parts; the numerator is how many are taken.
The denominator 5 is how many equal parts; the numerator 1 is how many are taken.
3. 9, 1
The denominator is how many equal parts; the numerator is how many are taken.
The denominator 9 is how many equal parts; the numerator 1 is how many are taken.
4. 15
Each row is one group. How many counters are in a group? How many rows do the 4 shaded counters fill?
Each group has 4, so 4 is 1 groups: 15.
5. 28 apples
First share 63 into 9 equal groups: how many in each? Then take 4 groups.
9 equal groups of 63 ÷ 9 = 7; 4 groups are 7 × 4 = 28.
6. 59
A blue marble goes in: does the number of red ones change? How many marbles are there in all now?
Still 5 red, but there is 1 more marble in all, 9, so the denominator changes too: 59.
7. 23
Count how many equal slices the circle has, then how many are not shaded.
3 equal slices, 1 shaded, so 2 are not: 23.
8. 38
A blue marble goes in: does the number of red ones change? How many marbles are there in all now?
Still 3 red, but there is 1 more marble in all, 8, so the denominator changes too: 38.
9. 18 kiwis
First share 27 into 9 equal groups: how many in each? Then take 6 groups.
9 equal groups of 27 ÷ 9 = 3; 6 groups are 3 × 6 = 18.

10. False
First check whether the 4 parts are the same size. Each is 14 only if they're equal.
Each part is 14 only if the 4 parts are equal. Check whether they are the same size.
11. B
Count in each picture: how many equal parts, and how many shaded? You want 8 parts with 3 shaded.
38: 8 equal parts, 3 shaded.
12. D
Count in each picture: how many equal parts, and how many shaded? You want 8 parts with 6 shaded.
68: 8 equal parts, 6 shaded.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 310
Work out how many pieces are left: 7 of the 10 are used. The whole ribbon is 10 equal pieces.
10 − 7 = 3 pieces are left: 310.
14. 7 pens
First share the 42 pens into 6 equal groups: how many in each? Then take 1 groups.
42 in 6 equal groups is 7 each; 1 groups are 7.
15. 56
6 equal slices gives the denominator; 5 eaten gives the numerator.
6 equal slices, 5 eaten: 56.
16. 4, 5
First find each share: 20 ÷ 5. With 5 equal shares, each is one part of how many?
20 ÷ 5 = 4; 5 equal shares, so each is 15.
17. 49
Count the red pens after it goes in, then all the pens. Careful: the total changes too.
Now there are 4 red pens, and 1 more pen in all, 9: 49. Both the numerator and the denominator change.
18. 2, 4
First find each share: 8 ÷ 4. With 4 equal shares, each is one part of how many?
8 ÷ 4 = 2; 4 equal shares, so each is 14.

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