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Dividing Fractions 1 2 3 5 Don't change Flip 1 2 5 3 = 1 2 5 Mixed numeral 8 3 X = Change the mixed numeral to an improper fraction Mixed numeral 3 Multiply 1 2 1x5 2x3 8 = 1 Improper fraction 5 1 7 2 Improper fraction 7 = 2 Flip the second fraction, then multiply Change the whole number to an improper fraction 2x 3+1 = 2 Improper fraction 5 6 = = Multiply X 2 7 Multiply X 1 5 = 16 7 = 7 10 Mixed numeral Improper fraction Flip 8 1 Flip 2 = Reduce by dividing 7 into 16 2 7 7 ) 16 – 14 2 "Reducing" or "Simplifying" Fractions The last step in doing a fraction problem is to reduce the answer if possible. Look for two things: if the top is greater than the bottom, or the top and bottom can be divided by the same number. Easy: Improper even numbers 4 6 2 2 = 2 3 fives 15 25 5 5 = 3 5 zeroes 10 20 10 = 10 1 2 five and zero 15 20 5 5 = 3 4 Improper fraction (the top is greater than the bottom) 16 7 = Mixed Numeral Reduce by dividing the bottom into the top 7 ) 16 = Mixed numeral 2 2 7 2 6 9 Two steps: Improper 24 9 = 9 ) 24 Joel Harrison 2004 = 3 3 = 2 2 3