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Making sense of Fractions

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**Fractions A fraction is part of a whole.**

Look at the shaded part in these shapes: and are called Fractions

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**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 + + + + + = =

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**This pie is divided into 6 equal parts.**

If we cut off The remaining part is:

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**This pie is divided into 8 equal parts.**

If we cut off The remaining part is:

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**A Fraction is made up of 2 numbers**

The top number is called the numerator The bottom number is called the denominator

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**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.

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**What fraction of each shape is shaded?**

B = D=

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**What fraction of the circles are blue?**

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

What fraction of each of these shapes is red?

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**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

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Equivalant Fractions

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**Are these equivalent fractions ?**

x ? ? Yes

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**Find equivalent fractions to**

1 Whole = = 3 = = 5 6 12

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**When fractions have a common denominator it is easier to :**

compare them Which is the biggest fraction? or x5 = x5

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**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. + =

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**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. - =

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**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

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**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

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**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

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**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

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**Improper Fractions can be changed into Mixed Numbers**

= 2

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Let`s play some

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**What fraction of the people have…..**

Well done! blonde hair ? black hair ? blue trousers ? purple trousers ? Red jumpers ?

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**What fraction of the Fripples is ….**

spotted

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**What fraction of the Fripples is ….**

striped

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**What fraction of the Fripples wear**

sunglasses

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**What fraction of the Fripples is**

purple

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**What fraction of the Fripples have ..**

Curly hair

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**What fraction of the Fripples have ..**

Short straight hair

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4 4 5

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3

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The End

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