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Fractions
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Fractions- equal parts of a whole
NumeratorDenominator
Parts/pieces you are looking forTotal number of pieces/parts
=
34
Ex) w
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Improper Fractions &Mixed Numbers
Improper Fractions- numerator larger than denominator
54
Ex)
Mixed numbers- whole number and a fraction
14
Ex) 3Total number of completely colored shapes
Number of pieces left over w
w
w1
14
2
3
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Changing Mixed Numbers to Improper Fractions
1.Multiply the whole number by the denominator
2.Add that to the numerator
3.Keep the denominator the same
4.Write the total as the new numerator
143 x
+ 3 x 4 + 1 = 13 4
Ex)
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Try Some
5721.)
234
2.)
385
3.)
x+
x+
x+
2 x 7 + 5 = 19 7
4 x 3 + 2 = 14 3
5 x 8 + 3 = 43 8
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Changing Improper Fractionsto Mixed Numbers
1.Divide the numerator by the denominator
2.The answer is the whole number
3.The remainder is the numerator
4.Keep the denominator the same
15316
5
35 16 -15 1
Whole #
numerator
Ex)
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Try Some1451.)
3532.)
196
3.)
21 4
18 5
55 9
5 4 21 -20 1 3
5 18 -15 3 6
9 55 -54 1
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Golden Rule of fractions
What you do to the numerator you do the denominator and vice versa
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Equivalent FractionsFractions that are equal
1 = 25 10
Ex)*think multiplication*
What times 7 = 21
2 =7 21
x 3x 3
6
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Try Some4 = 9 36
1.) 4 =9 36
X 4X 4
16
15 = 35 7
2.)
5 = 10 12
3.)
15 =35 7
x 5x 5
3
5 = 1012
x 2x 2 24
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Simplifying Fractions
To make fraction the smallest it can go
210
Ex)
*reduce, simplify and lowest terms*
812
46
1. Divide by the common factor
Hint: Start with 2, 3, 5, 7, 11
÷ 2÷ 2
= 1 5
Ex) ÷ 2÷ 2
÷ 2÷ 2
23