Year 5 Maths Challenge 3 12.1.21

Compare and order fractions Represent fractions in pictorial form.

Compare fractions using pictures.

Arrange fractions in order of size.

Use vocabulary of greater than, less than and equal to.

Jack cut a cake into 4 equal pieces. He took a piece.

Hannah cut the other three pieces into 6 equal pieces. She took 3 pieces.

Who took more cake?

How can we represent this problem using images?

How much of the cake did Jack take?

How much did Hannah take?

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Hannah took more cake than Jack.

Arrange and from the smallest to the greatest.

How can we represent this problem using images?

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Arrange and from the smallest to the greatest.

Is there another way I can solve this problem?

Would it be easier to compare if the fractions had the same denominator?

and

2, 4 and 8 are all factors of 8

=

, =,

Compare the fractions

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Is there another method I could use?

x2

= x2

4

Compare the fractions

Compare the fractions

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Arrange the fractions in ascending order

What does ascending mean?

,

,

Ascending means from the smallest to the greatest

Is there another way to solve this problem?

What would the lowest common denominator be for , ?

3, 6 and 9 are all factors of 18.

= The lowest common denominator is the smallest number that is exactly divisible by each denominator of a set of fractions.

Arrange the fractions in descending order What does descending mean?

Descending means from the greatest to the smallest.

Arrange the fractions in descending order What does descending mean?

Descending means from the greatest to the smallest.

1)

2) 4) Arrange the fractions in descending order

3) Arrange the fractions in ascending order a)

b)

a)

b)

Further challenge: 1)

2)

1)

2) 4) Arrange the fractions in descending order

3) Arrange the fractions in ascending order a)

b)

a)

b)

Further challenge: 1)

2)