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Fractions
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Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole
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Parts of a Fraction 3 4 = numerator = denominator
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¾ looks like 1/4 3 4
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¾ looks like 1/4 3 4
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¾ looks like 3 4 1/4
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What fraction of the pie is purple? 4 4
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What fraction of the musical instruments have strings? 2 5
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What fraction of the fish have stripes? 3 5
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What fraction of the arrows hit the bull's-eye? 1 3
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What fraction of the pins are knocked down? 3 10
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Proper fraction 1/4 3 4 n A n A fraction in which the numerator is less than the denominator.
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Improper Fraction A fraction in which the numerator is greater than the denominator. = 8 4
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Equivalent Fractions Name the same amount but have different numerators and denominators. 1 2 = 2 4 1 2 1 4 1 4
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Equivalent Fraction Models 1 2 2 4 3 6 ==
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Definition Factor – a number that is multiplied by another to give a product. 7 x 8 = 56 Factors
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Definition Factor – a number that divides evenly into another. 56 ÷ 8 = 7 Factor
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Definition Prime Number – a number that has only two factors, itself and 1. 7 7 is prime because the only numbers that will divide into it evenly are 1 and 7.
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Examples of Prime Numbers 2, 3, 5, 7, 11, 13, 17, 19 Special Note: One is not a prime number.
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Definition Composite number – a that has more than two factors. 8 The factors of 8 are 1, 2, 4, 8
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Examples of Composite Numbers 4, 6, 8, 9, 10, 12, 14, 15 Special Note: Every whole number from 2 on is either composite or prime.
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Our Lonely 1 Special Note: One is not a prime nor a composite number. It is not prime because it does not have exactly two different factors. It is not composite because it does not have more than 2 factors.
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Definition Prime Factorization – A way to write a composite number as the product of prime factors. 2 x 2 x 3 = 12 or 2 x 3 = 12 2
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Simplest Form When the only common factor of the numerator and denominator is 1, the fraction is in simplest form. 3 4 3 4 ÷ 1 1 =
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Greatest Common Factor The greatest common factor is the largest factor between two numbers. 12 = 1, 2, 3, 4, 6, 12 18 = 1, 2, 3, 6, 9, 18
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How to Find the Simplest Form of a Fraction Find the greatest common factor of the numerator and the denominator and divide both the numerator and the denominator by that number. 12 18 2 3 ÷ 6 6 =
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