Making sense of Fractions.

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Making sense of Fractions

Fractions A fraction is part of a whole.
Look at the shaded part in these shapes: and are called Fractions

1 Each part is called one sixth.
If we cut the tart into 6 equal parts, this is what we get. Each part is called one sixth. 1 + + + + + = =

This pie is divided into 6 equal parts.
If we cut off The remaining part is:

This pie is divided into 8 equal parts.
If we cut off The remaining part is:

A Fraction is made up of 2 numbers
The top number is called the numerator The bottom number is called the denominator

What fraction of this shape is shaded?
3 4 2 1 3 1 2 numerator Tells us how many parts are shaded. denominator Tells us in how many parts the shape is divided.

What fraction of each shape is shaded?
B = D=

What fraction of the circles are blue?

Look at these shapes What fraction of each of these shapes is blue?
What fraction of each of these shapes is red?

Equivalant Fractions Although divided into different parts,
Look closely at the shaded parts: Although divided into different parts, the same area is shaded. If we multiply the numerator and the denominator by the same number we get

Equivalant Fractions

Are these equivalent fractions ?
x ? ? Yes

Find equivalent fractions to
1 Whole = = 3 = = 5 6 12

When fractions have a common denominator it is easier to :
compare them Which is the biggest fraction? or x5 = x5

When fractions have a common denominator it is easier to :
add them x4 x5 = + = x4 x5 We need to find equivalent fractions with a common denominator. The Least Common Multiple of 4 and 5 is 20. + =

When fractions have a common denominator it is easier to :
subtract them x5 x2 = - = x5 x2 We need to find equivalent fractions with a common denominator. The Least Common Multiple of 5 and 2 is 10. - =

Equivalant Fractions = Although divided into different parts,
Look closely at the shaded parts: Although divided into different parts, the same area is shaded. is a fraction in its lowest terms 4 = 4 If we divide the numerator and the denominator by the same number we also get

is a fraction in its lowest terms
Let us reduce to its lowest terms: Factors of 6 = Factors of 8 is a fraction in its lowest terms

The fraction is called an It is always less than the whole.
When the numerator is less than the denominator The fraction is called an Proper Fraction It is always less than the whole. e x a m p l s

The fraction is called an It is always more than the whole.
When the numerator is greater than the denominator The fraction is called an Improper Fraction It is always more than the whole. e x a m p l

Improper Fractions can be changed into Mixed Numbers
= 2

Let`s play some

What fraction of the people have…..
Well done! blonde hair ? black hair ? blue trousers ? purple trousers ? Red jumpers ?

What fraction of the Fripples is ….
spotted

What fraction of the Fripples is ….
striped

What fraction of the Fripples wear
sunglasses

What fraction of the Fripples is
purple

What fraction of the Fripples have ..
Curly hair

What fraction of the Fripples have ..
Short straight hair

4 4 5

3

The End