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Explain why when adding fractions the denominators are not added together? - Answers
Think of it this way: The denominators tell what kind of things are being added, whereas the numerators tell how many things are being added. Examples: (two/apple) + (three/apple) = (two+three)/(apple) = five/apple. ================================================ (two/apple) + (three/plum) is NOT equal to (two+three)/(apple+plum) ================================================ (one)/(pair) + (two)/(pair) = (one+two)/(pair) = (three)/(pair) ================================================= (one)/(pair) + (one)/(individual) + (two)/(individual) = ? ? ? ===> express (one)/(pair) as (two)/(individual), then: (two)/(individual) + (one)/(individual) + (two)/(individual) = (five)/(individual) or (2.5)/(pair)
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Explain why when adding fractions the denominators are not added together? - Answers
Think of it this way: The denominators tell what kind of things are being added, whereas the numerators tell how many things are being added. Examples: (two/apple) + (three/apple) = (two+three)/(apple) = five/apple. ================================================ (two/apple) + (three/plum) is NOT equal to (two+three)/(apple+plum) ================================================ (one)/(pair) + (two)/(pair) = (one+two)/(pair) = (three)/(pair) ================================================= (one)/(pair) + (one)/(individual) + (two)/(individual) = ? ? ? ===> express (one)/(pair) as (two)/(individual), then: (two)/(individual) + (one)/(individual) + (two)/(individual) = (five)/(individual) or (2.5)/(pair)
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Explain why when adding fractions the denominators are not added together? - Answers
Think of it this way: The denominators tell what kind of things are being added, whereas the numerators tell how many things are being added. Examples: (two/apple) + (three/apple) = (two+three)/(apple) = five/apple. ================================================ (two/apple) + (three/plum) is NOT equal to (two+three)/(apple+plum) ================================================ (one)/(pair) + (two)/(pair) = (one+two)/(pair) = (three)/(pair) ================================================= (one)/(pair) + (one)/(individual) + (two)/(individual) = ? ? ? ===> express (one)/(pair) as (two)/(individual), then: (two)/(individual) + (one)/(individual) + (two)/(individual) = (five)/(individual) or (2.5)/(pair)
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