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The least common denominator for this problem is To subtract mixed fractions, the first step is to find the common denominator and make new equivalent fractions. To find the common denominator, list the multiples of the denominators until you find a common one. 3: 3, 6, 9, 12, 15, 18, 21, ... 7: 7, 14, 21, 28, 35, ... - 5 2 1 5 7 3 After this you make new equivalent fractions with the common denominator. - 5 2 1 5 7 3 x 3 x 3 x 7 x 7 = = 5 2 21 21 15 Now subtract whole numbers and numerators. Never subtract denominators. - 5 2 1 5 7 3 x 3 x 3 x 7 x 7 = = 5 2 3 21 21 7 21 15 The least common denominator for this problem is To subtract mixed fractions, the first step is to find the common denominator and make new equivalent fractions. To find the common denominator, list the multiples of the denominators until you find a common one. 3: 3, 6, 9, 12, 15.... 4: 4, 8, 12, 16, 20... - 5 4 3 2 3 4 After this you make new equivalent fractions with the common denominator. - 5 4 3 2 3 4 x 4 x 4 x 3 x 3 = = 5 4 12 12 8 - Now subtract whole numbers and numerators. Never subtract denominators. However, on this problem we can not subtract 9 from 8 so we have to take one from the 5 and rename it to 12/12s. 5 4 final answer 12 12 9 8 = 4 + 12 12 + 12 8 = - 4 4 20 12 12 12 9 The least common denominator for this problem is To subtract mixed fractions, the first step is to find the common denominator and make new equivalent fractions. To find the common denominator, list the multiples of the denominators until you find a common one. New problem. 5: 5, 10, 15, 20,... 3: 3, 6, 9, 12, 15,... - 7 4 2 2 5 3 After this you make new equivalent fractions with the common denominator. - 7 4 2 2 5 3 x 3 x 3 x 5 x 5 = = 7 4 15 15 6 - Now subtract whole numbers and numerators. Never subtract denominators. However, on this problem we can not subtract 10 from 6 so we have to take one from the 7 and rename it. Make sure the final answer is simplified. 7 4 10 15 15 6 = 6 + 15 15 + 15 6 = - 2 6 4 10 21 15 15 15 The least common denominator for this problem is To subtract mixed fractions, the first step is to find the common denominator and make new equivalent fractions. To find the common denominator, list the multiples of the denominators until you find a common one. 4: 4, 8, 12, ... 2: 2, 4, ... - 5 3 1 1 4 2 After this you make new equivalent fractions with the common denominator. - 5 3 1 1 4 2 x 2 x 2 = = 5 3 4 1 4 - Now subtract whole numbers and numerators. Never subtract denominators. Here again we can not subtract 2 from 1 so we take from the whole number. 5 3 4 4 2 1 = 4 + 4 4 + 4 1 = - 1 4 3 5 4 4 4 2 - New problem! Think money! Could we take 3 dollars and 3 quarters away from 5 dollars? No! We would need change. How many quarters would we get for one dollar? 5 3 4 3 = 4 + 4 4 = - 4 3 1 4 4 4 4 3 Think money! Could we take 3 dollars and 3 quarters away from $5 and one quarter? No! We would need change. How many quarters would we get for one dollar? How many quarters did we already have? - Make sure its simplified. 5 3 4 4 1 3 = 4 + 4 4 + 4 1 = - 4 3 1 5 4 4 4 3 = 1 2 - Now you solve. 2 1 4 1 2 3 x 3 x 3 x 4 x 4 = = - 1 2 3 12 12 = = - 1 1 12 8 12 3 12 + 12 12 = - Now you solve. 6 1 5 2 2 3 = = - 1 6 = = - 4 5 1 - Now you solve. 8 1 3 2 5 6 = = - 1 8 = = - 6 7 1 Now you solve. Did you simplify? - 1 5 5 6 1 6 Now you solve. You must rename. Did you simplify? - 1 5 1 6 5 6 Now you solve. - 1 9 1 3 5 6 Now you solve. - 2 4 1 2 5 6 Now you solve. - 1 9 3 4 1 6 Now you solve. - 1 4 3 4 5 6 Now you solve. - 1 4 5 6 3 4 Now you solve. - 1 4 3 4 Now you solve. - 1 4 5 6 Now you solve. - 1 4 3 4 Now you solve. - 3 6 5 6 2 3 Now you solve. - 3 6 1 6 2 3 Now you solve. - 3 8 1 6 1 3 |