equivalent fractions one whole 1. equivalent fractions cut them in half
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Equivalent FractionsEquivalent Fractions
One WholeOne Whole
11
Equivalent FractionsEquivalent Fractions
Cut them in halfCut them in half
Equivalent FractionsEquivalent Fractions
Shown is one halfShown is one half
11
22
How many How many pieces we pieces we wantwant
How many How many pieces it’s cut pieces it’s cut intointo
Equivalent FractionsEquivalent Fractions
Shown is one halfShown is one half
11
22
NUMERATORNUMERATOR
DENOMINATORDENOMINATOR
Equivalent FractionsEquivalent Fractions
I cut my shape againI cut my shape again
I still showI still show
11
22
Equivalent FractionsEquivalent Fractions
But I also showBut I also show
22
44
Equivalent FractionsEquivalent Fractions
One half is One half is EQUIVALENT TOEQUIVALENT TO
2 quarters 2 quarters
11
22
22
44
Equivalent FractionsEquivalent Fractions
11
22
22
44
This symbol looks like an equals sign with a third This symbol looks like an equals sign with a third line. It is the mathematical sign for EQUIVALENT line. It is the mathematical sign for EQUIVALENT TO - which means “is worth the same as”.TO - which means “is worth the same as”.
Equivalent FractionsEquivalent Fractions
We can use equivalent fraction to make We can use equivalent fraction to make our numbers easier to handle.our numbers easier to handle.
Smaller numbers are SIMPLESmaller numbers are SIMPLE
160160
200200
1166
2200
44
55
÷ 10÷ 10
÷ 10÷ 10
÷ 4÷ 4
÷ 4÷ 4
Equivalent FractionsEquivalent Fractions
This fraction is as simple as we can make itThis fraction is as simple as we can make it
160160
200200
44
55
We can use different language for We can use different language for making the fraction as small as making the fraction as small as possible. possible.
Watch out for this language in the Watch out for this language in the future. It is often used in Key Stage future. It is often used in Key Stage 3.3.
Simplest formSimplest form
Lowest termsLowest terms
SimplifiedSimplified
Cancelled Cancelled downdown
Equivalent FractionsEquivalent Fractions
1515
4545
6060
8080
Look for numbers that Look for numbers that both the NUMERATOR both the NUMERATOR and the DENOMINATOR and the DENOMINATOR can be divided by.can be divided by.
We want numbers We want numbers bigger than 1.bigger than 1.
We call these We call these COMMON FACTORSCOMMON FACTORS
Equivalent FractionsEquivalent Fractions
1515
4545
÷ 3÷ 3
÷ 3÷ 3
6060
8080
÷ 10÷ 10
÷ 10÷ 10
These numbers These numbers have 3 as a have 3 as a common factor.common factor.
This means they This means they can both be shared can both be shared by 3.by 3.
A common factor A common factor here is 10here is 10
Equivalent FractionsEquivalent Fractions
1515
4545
55
1155
÷ 3÷ 3
÷ 3÷ 3
6060
8080
66
88
÷ 10÷ 10
÷ 10÷ 10
Equivalent FractionsEquivalent Fractions
1515
4545
55
1155
÷ 3÷ 3
÷ 3÷ 3
÷ 5÷ 5
÷ 5÷ 5
6060
8080
66
88
÷ 10÷ 10
÷ 10÷ 10
÷ 2÷ 2
÷ 2÷ 2
Equivalent FractionsEquivalent Fractions
1515
4545
55
1155
11
33
÷ 3÷ 3
÷ 3÷ 3
÷ 5÷ 5
÷ 5÷ 5
6060
8080
66
88
33
44
÷ 10÷ 10
÷ 10÷ 10
÷ 2÷ 2
÷ 2÷ 2
Equivalent FractionsEquivalent Fractions
1515
4545
11
33
6060
8080
33
44
If the top number If the top number is a 1, we know we is a 1, we know we can stop.can stop.
If the top and If the top and bottom bottom number are number are not DIVISIBLE not DIVISIBLE by the same by the same number, we number, we stop.stop.
Equivalent FractionsEquivalent Fractions
1515
4545
11
33
6060
8080
33
44
They have no They have no FACTORS in FACTORS in common other common other than 1than 1
They have no They have no FACTORS in FACTORS in common other common other than 1than 1