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Fractions Review GCF and LCM 1) GCF: Greatest common factor Steps: List the factors of all numbers using bridges (use your divisibility rules and check all the numbers). Find the greatest common factor. LCM: Least common multiple Steps: List the multiples of all numbers Find the least common multiple Example: Find GCF and LCM for 24, 48 and 72 GCF 24: 1, 2, 3, 4, 6, 8, 12, 24 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 Greatest Common Factor is 24 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 LCM 24: 24, 48, 72, 96, 120, 144 48: 48, 96, 144, 192 Least Common Multiple is 144 72: 72, 144, 216 Try these 1) 12 and 30 GCF= LCM= 2) 9 and 21 GCF= LCM= 3) 15 and 18 GCF= LCM= WRITING EQUIVALENT FRACTIONS To write equivalent fractions, we need to multiply or divide numerator and denominator by the same number. EXAMPLE: 16 16 x3 48 20 20 x3 60 So or 16 16 4 4 20 20 4 5 16 48 4 is equivalent to and 20 5 60 You can decide whether two fractions or equivalent or not by determining which number numerator and denominator are multiplied or divided by. If it is not obvious, simplify both fractions to check for simplest form of both fractions. Example: 42 7 and 42 is divided by 6 to get 7, whereas 60 is divided by 4 to get 15. So these two 60 15 fractions are not equivalent. Try these 20 18 and 1) try to simplify these fractions to determine = or not. 60 54 2) 34 2 and 85 5 3) 8 24 and 10 40 4) 54 9 and 80 12