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Dec 13, 2015
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http://www.mathslideshows.com
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Identify the fraction below.
56
parts shaded
total parts
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Equivalent FractionsEquivalent Fractions name the name the same amount but have different same amount but have different numerators and denominators. They numerators and denominators. They are sometimes called are sometimes called equal equal fractionsfractions..
12
= 24
12
1414
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Identity Property states that any number multiplied by one equals itself
2 2 4
3 2 6
This is useful to know so you can find a common denominator for adding and subtracting fractions.
1n n
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The Giant One is used to find equivalent fractions.
It is used to reduce or simplify fractions.
The giant one works because of the Identity Property.
3 5 15
4 5 20
4 2 2
10 2 5
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Many Forms The Giant One
2 213 3
There are an infinite number of ways to write any fraction.2
346
23
69
23
812
122
33
44
55
23... ...23
22 3
3 44
46
69
812
...
Identity PropertyIdentity Property1n n
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23
46
23
22
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23
46
23
69
23
22 3
3
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To find To find equivalent fractionsequivalent fractions multiply multiply the numerator and the denominator by the the numerator and the denominator by the same number.same number.
13
33
39
=GIANT ONE
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Find 4 equivalent fractions for the fraction
35
610
35
915
35
1220
35
1525
22
33
44
55
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Find 4 equivalent fractions for the fraction
3 7
614
921
1228
1535
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To Put Fractions in To Put Fractions in Simplest Simplest
FormForm:: Find the Find the greatest common factorgreatest common factor of of
the numerator and the denominator and the numerator and the denominator and divide both the numerator and the divide both the numerator and the denominator by that number.denominator by that number.
1218
23÷
66 =
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When the only common factor of the When the only common factor of the numerator and the denominator is 1, numerator and the denominator is 1, the fraction is in the fraction is in simplest formsimplest form..
34
34÷
11 =
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Identify each fraction below.
36
33
12
Reduce!
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Identify each fraction below.
68
22
34
Reduce!
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Simplify the following fractions.161) 40
820
410
25
1640
25
GCF 8
22
22
22
88
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Simplify the following fractions.
152) 75
315
15
1575
15
GCF 15
55
33
1515
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Simplify the using GCF.
121) 30
162) 24
25
23
66
88
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THE END!Take out your study guide.
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Equivalent fractions name the same amount or the same part of a whole. You use the giant one to show equivalent fractions.
Ex:
#1
1
2 2
4
A fraction shows:
35
610
35
915
22 3
3
Parts ShadedTotal Parts
NumeratorDenominator
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The Giant One is used to reduce or simplify fractions.
#2
4 2 2
10 2 5
16 4 4
20 4 5
To find the simplest form divide the numerator and denominator by the greatest common factor.
12 6 2
18 6 3
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