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Subtracting Mixed Numbers Subtracting Mixed Numbers Convert Mixed Numbers to Improper fractions Find the Least Common Denominator Make Equivalent fractions Subtract numerators keep same denominators Change improper fraction to mixed number, If necessary Reduce fractions, if necessary Problem # 1 First: Convert Mixed Numbers to Improper fractions 10 3 1 2 2 3 Is this where I multiply the numerator and the whole number? No! Gotcha! Problem # 1 First: Convert Mixed Numbers to Improper fractions Let me try again! Is this where I add the numerator and 1 the denominator 10 2 3 2 3 I could not fool you twice. Huh. You are good! Problem # 1 First: Convert Mixed Numbers to Improper fractions Multiply the Denominator by the Whole Number and add the Numerator 1 10 2 3 2 3 21 Do you want to see that again? Problem #1 First: Convert Mixed Numbers to Improper fractions Multiply the Denominator by the whole Number and add the Numerator 1 10 2 3 2 3 21 11 Problem # 1 Find the Least Common Denominator • The Two is speaking and twoish and Three is speaking threeish • It’s like someone speaking Spanish and someone else speaking English. No. No. They all must speak the same language. “Multiples of 2 and 3” 21 2 6 11 3 2 4 6 LCD 3 6 6 • Problem # 1 Make Equivalent (Equal) fractions The Two is speaking and twoish and Three is speaking threeish • It’s like someone speaking Spanish and someone else speaking English. No. No. They all must speak the same language. “Multiples of 2 and 3” 21 63 2 6 22 11 3 6 Problem # 1 Find LCD & Make Equivalent fractions • The Two is speaking and twoish and Three is speaking threeish • It’s like someone speaking Spanish and someone else speaking English. No. No. They all must speak the same language. “Multiples of 2 and 3” 21 63 2 6 22 11 3 6 2 4 6 LCD 3 6 Problem # 1 Subtract numerators keep same denominators 63 6 22 6 41 6 Problem # 1 Change improper fraction to mixed number • Reduce fractions 63 6 6 22 6 41 6 6 41 36 5 Answer 5 6 5 6 Factors of 6 6 Factors of 5 5 1 5 6 1 6 2 3 Next Problem Problem # 2 Convert Mixed Numbers to Improper fractions Multiply the Denominator by the Whole Number and add the Numerator 3 1 1 3 7 8 10 15 Problem # 2 Find LCD & Make Equivalent fractions • Make the denominators speak the same language Multiples of 3 and 8 10 3 80 15 24 45 8 24 3 6 9 12 15 18 21 24 LCD 8 16 24 Problem # 2 Change improper fraction to mixed number • Reduce fractions, if necessary 80 Since there are no common factors, the fraction can not be reduced. 45 24 35 24 24 35 24 11 No common factors 11 1 1 24 Answer 24 Factors of 24 Factors of 11 11 1 11 24 1 24 2 12 3 8 4 6 Next Problem Problem # 3 Convert Mixed Numbers to Improper fractions Multiply the Denominator by the Whole Number and add the Numerator 2 1 1 2 4 7 5 11 Problem # 7 Find LCD & Make Equivalent fractions • Make the denominators speak the same language Multiples of 2 and 7 5 2 35 11 14 22 7 14 2 4 6 8 10 12 14 LCD 7 14 Problem # 3 Subtract numerators keep same denominators Change improper fraction to mixed number Since this is not an improper fraction, then it does not need to be changed to a mixed number. 35 14 • Reduce fractions, if necessary Since there are no common factors, the fraction can not be reduced. 22 14 13 14 No common factors 1 13 13 14 Factors of 14 Factors of 13 13 Answer 14 1 14 2 7