Fraction of a Set - Seriously Addictive Mathematicsseriouslyaddictivemaths.com.sg/Octal/db/Files/04.019 FOS 1-1WS.pdf · Page 1 Fraction of a Set ... fraction. s (simplest form if

$Page 1: Fraction of a Set - Seriously Addictive Mathematicsseriouslyaddictivemaths.com.sg/Octal/db/Files/04.019 FOS 1-1WS.pdf · Page 1 Fraction of a Set ... fraction. s (simplest form if$
04.019 FOS 1/1 WS Name: ____________________

Fractions: Fraction Of A Set Date: ____________________

Seriously Addictive Maths Time: ____________________

Copyright © Seriously Addictive Maths. All Rights Reserved. Page 1

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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




Fraction of stars which are Green

=

(simplest form)

Fraction of stars which are Red

Fraction of stars which are Blue

=

(simplest form)

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




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.

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




Solution:

Remember to express the final answer (mixed number or improper

fraction) in its simplest form where applicable.

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




1. State the fraction of the shaded parts (simplest form if needed).

Ans:

Ans:

Ans:

Ans:

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




2. State the fraction of the shaded parts (simplest form if needed).

Ans:

Ans:

Ans:

Ans:

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________





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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________





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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________





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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________






of 12

x 12

=

=

Ans:

of 13

x 13

=

=

Ans:

of 11

x 11

=

=

Ans:

of 12

x 12

=

=

Ans:

9 4

7 1

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________






of 3

x 3

=

=

Ans:

of 2

x 2

=

=

Ans:

of 14

x 14

=

=

Ans:

of 6

x 6

=

=

Ans:

2 1

11 1

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




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

Serious

ly

Addict

ive

Mat

hs

04.019 FOS 1/1 WS Name: ____________________




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

=

=

Serious

ly

Addict

ive

Mat

hs

Documents

Fraction of a Set - Seriously Addictive Mathematicsseriouslyaddictivemaths.com.sg/Octal/db/Files/04.019 FOS 1-1WS.pdf · Page 1 Fraction of a Set ... fraction. s (simplest form if