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3.2 What’s a Fraction?
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What does a fraction look like?
Fraction bar Top = numerator Bottom = denominator Proper fraction = numerator is smaller than denominator Improper fraction = numerator is larger than the denominator Special note: Numerators can equal 0 Denominators cannot equal 0
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Mixed numbers Improper fractions can be put into the form of a mixed number Procedure: Use the fraction bar as a division bar Numerator goes inside the box, Denominator outside Remainders are the numerator Reverse the process: Whole number times the denominator plus the numerator = new numerator Denominators stay the same
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Try it Write as mixed # 26/3 36/4 Write as an improper fraction 9&4/7
2&3/16 3
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Reduce your fractions Same as putting your fraction in simplest form
Divide the numerator and denominator by the GCF Ex 12/15 GCF = 3 12 divided 3 = 4 15 divided by 3 = 5 Reduced fraction = 4/5 Do this with every answer you get!
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Scale up Ex1: 3/8 = ?/40 Ex2: 5/13 = ?/39
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Which is bigger? How to tell if one fraction is bigger than another
A. See if the fractions have the same denominator B. If not, scale them up to the LCM of the denominators (find the common denominator) C. Compare the numerators to see which is bigger Ex1: 5/12 and 7/18 A. Denominators not the same B. LCM of 12 & 18 = 36 5/12 = 15/36 7/18 = 14/36 C. 15 is greater than 14 so 5/12 > 7/18
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Try a few Put in simplest form Scale up: Which is bigger? 21/84 32/12
5z/5 Scale up: 5/9 = ?/81 8 = ?/12 Which is bigger? 4/9 or 8/21 17/24 or 7/9
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Homework 1- 135 eoo evens: 2 – 134 eoe (every other even)
Also 136, 138
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