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Fraction of a Set
Fraction of a Set
A set is a group of items.
Subset of a set.
Example:
What fraction of the stars are GREEN?
What fraction of the stars are RED?
What fraction of the stars are BLUE?
Solution:
A set 12 stars
Green stars 3
Red stars 5
Blue stars 4
Shaded part(s)
Total number of equal parts
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Fraction of stars which are Green
=
(simplest form)
Fraction of stars which are Red
Fraction of stars which are Blue
=
(simplest form)
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Fraction of a Whole Number
Denominator of the fraction tells us how many equal parts the
whole is to be divided into.
Numerator of the fraction tells us how many parts of the
whole we are talking about.
METHOD 1: Divide the whole number by the denominator of
the fraction and then multiply it by the numerator of the
fraction.
OR
METHOD 2: Multiply the whole number by the numerator of
the fraction and then divide it by the denominator of the
fraction.
OR
METHOD 3: Use models.
Example:
Find
of 6.
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Solution:
Remember to express the final answer (mixed number or improper
fraction) in its simplest form where applicable.
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1. State the fraction of the shaded parts (simplest form if needed).
Ans:
Ans:
Ans:
Ans:
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2. State the fraction of the shaded parts (simplest form if needed).
Ans:
Ans:
Ans:
Ans:
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State the fractions (simplest form if needed).
3.
(a) What fraction of the apples are green?
(b) What fraction of the apples are blue?
(c) What fraction of the apples are red?
Ans: (a)
of the apples are green.
(b)
of the apples are blue.
(c)
of the apples are red.
Green
Red
Blue
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4.
(a) What fraction of the fruits are apples?
(b) What fraction of the fruits are oranges?
(c) What fraction of the fruits are pineapples?
Ans: (a)
of the fruits are apples.
(b)
of the fruits are oranges.
(c)
of the fruits are pineapples.
Oranges
Apples
Pineapples
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5.
(a) What fraction of the chillis are green?
(b) What fraction of the chillis are red?
Ans: (a)
of the chillis are green.
(b)
of the chillis are red.
Red
Green
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6. Calculate the following problems.
of 8
x 8
=
= 4
Ans:
of 5
x 5
=
= 3
Ans:
of 15
x 15
=
= 12
Ans:
of 10
x 10
=
= 5
Ans:
4 3
12 5
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7. Calculate the following problems.
of 12
x 12
=
= 8
Ans:
of 4
x 4
=
= 2
Ans:
of 8
x 8
=
= 6
Ans:
of 20
x 20
=
= 8
Ans:
8 2
6 8
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8. Calculate the following problems.
of 6
x 6
=
= 5
Ans:
of 8
x 8
=
= 7
Ans:
of 4
x 4
=
= 2
Ans:
of 2
x 2
=
= 1
Ans:
5 7
2 1
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9. Calculate the following problems.
of 40
x 40
=
= 52
Ans:
of 9
x 9
=
= 3
Ans:
of 14
x 14
=
= 12
Ans:
of 14
x 14
=
= 7
Ans:
52 3
12 7
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10. Calculate and express answer in Mixed Number for the following
problems (simplest form if needed).
of 10
x 10
=
=
Ans:
of 8
x 8
=
= 4
Ans:
of 5
x 5
=
= 1 ¼
Ans:
of 9
x 9
=
= 7 ½
Ans:
8 4
1 7
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11. Calculate and express answer in Mixed Number for the following
problems (simplest form if needed).
of 12
x 12
=
=
Ans:
of 13
x 13
=
=
Ans:
of 11
x 11
=
=
Ans:
of 12
x 12
=
=
Ans:
9 4
7 1
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12. Calculate and express answer in Mixed Number for the following
problems (simplest form if needed).
of 3
x 3
=
=
Ans:
of 2
x 2
=
=
Ans:
of 14
x 14
=
=
Ans:
of 6
x 6
=
=
Ans:
2 1
11 1
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Word Problems
(Express your answer in simplest form if applicable)
13. There are 12 fruits in the refrigerator.
of them are apples. How many
apples are there?
Number of apples
x 12
=
= 6
Ans: 6 apples
14. Tom was given $20 for his school trip to The Universal Studios at Sentosa.
He spent
of the money on an ice-cream. How much does the ice-cream cost?
Cost of ice-cream
x $20
=$
= $2 ½
= $2.50 Ans: $2.50
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15. Jamie cut a pizza into 16 slices. She ate 6 slices and put the balance into
the oven. What fraction of the pizza did Jamie eat?
Fraction of pizza eaten
=
Ans:
of pizza
16. My mum bought 35 chocolate candies. I ate 7 candies and gave 8 candies to
Sally. What is the fraction of chocolate candies left?
Fraction of chocolate cookies left
=
=
Ans:
of chocolate candies
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17. James needs
cup of sugar to make a litre of lemonade juice. He has 15
cups of sugar on hand. How many litres of lemonade juice can he make?
cup of sugar 1 litre of lemonade juice
1 cup of sugar 3 litres of lemonade juice
15 cups of sugar 15 x 3 = 45 litres of lemonade juice
Ans:
18. There are 36 pastries on the serving tray.
of the pastries are muffins.
How many muffins are there?
Number of muffins
x 36
=
= 18
Ans:
45 litres of lemonade juice
18 muffins
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19. Chak has 100 marbles. He gave 24 marbles, 13 marbles and 3 marbles to
David, Raymond and Steve respectively. How many marbles did Chak give to
David, as a fraction of the number of marbles he gave out??
Number of marbles given out
24 + 13 + 3
= 40
Ans:
of marbles
20. Jasmine drew 15 butterflies. She coloured 5 butterflies red and 1 butterfly
pink. What is the fraction of butterflies not coloured?
Fraction of butterflies not coloured
=
=
Ans:
of butterflies
Fraction of marbles
given to David
=
=
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