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The least common denominator for this problem is To add 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 The next step is to add the numerators and the whole numbers. REMEMBER: we NEVER add (or subtract) the denominators. = = 9 5 4 12 12 12 9 8 One final step. Make sure it is in simplest form (which this one is in simplest form) AND there is not an improper fraction with a whole number (this one has one). If there is an improper fraction, change to mixed. 9 5 4 17 12 12 12 9 8 = 9 9 + 1 makes the 10. + 12 12 + 5 12 This is one. = 10 12 The least common denominator for this problem is To add 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. 2: 2, 4, 6, 8, 10, 12, 14... 7: 7, 14, 21, 28, 35... + 3 2 6 1 2 7 After this you make new equivalent fractions with the common denominator. + 3 2 6 1 2 7 x 7 x 7 x 2 x 2 = = 5 4 14 14 7 The next step is to add the numerators and the whole numbers. REMEMBER: we NEVER add (or subtract) the denominators. = = 5 3 2 14 14 14 12 7 Last step. Check for simplest form (which this one is) AND there is not an improper fraction with a whole number. If so, change to mixed. 5 3 2 19 14 14 14 12 7 = 5 Improper with a whole number + 14 14 + 5 14 = 6 14 The least common denominator for this problem is To add 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.... 5: 5, 10, 15, 20... + 6 2 4 2 3 5 After this you make new equivalent fractions with the common denominator. + 6 2 4 2 3 5 x 5 x 5 x 3 x 3 = = 6 2 15 15 10 The next step is to add the numerators and the whole numbers. REMEMBER: we NEVER add (or subtract) the denominators. = = 8 6 2 15 15 15 12 10 Last step. Check for simplest form (which this one is) AND there is not an improper fraction with a whole number. If so, change to mixed. 8 6 2 22 15 12 15 10 15 = 8 This equals one + 15 15 + 7 15 = 9 15 The least common denominator for this problem is Find the least common denominator. 5: 5, 10, 15, 20... 4: 4, 8, 12, 16, 20... + 2 5 3 4 5 4 Make new equivalent fractions with the common denominator. + 2 5 3 4 5 4 x 4 x 4 x 5 x 5 = = 2 5 20 20 16 The next step is to add the numerators and the whole numbers. REMEMBER: we NEVER add (or subtract) the denominators. = = 7 2 5 20 20 20 15 16 Last step. Check for simplest form (which this one is) AND there is not an improper fraction with a whole number. If so, change to mixed. 7 2 5 31 20 15 20 16 20 = 7 This equals one + 20 20 + 11 20 = 8 20 The least common denominator for this problem is Find the common denominator. 3: 3, 6, 9, 12, 15.... 12: 12, 24, 36, 48.... + 6 3 12 7 2 3 Make new equivalent fractions with the common denominator. + 6 3 12 7 2 3 x 4 = x 4 = = = 6 3 12 12 8 The next step is to add the numerators and the whole numbers. REMEMBER: we NEVER add (or subtract) the denominators. = = 9 6 3 12 12 12 7 8 Last step. Check for simplest form (which this one is NOT) AND there is not an improper fraction with a whole number. If so, change to mixed. 9 6 3 12 15 12 12 7 8 = 9 This equals one + 12 12 + 12 3 = Simplify this one. 10 4 Now you try. + 10 6 3 18 5 6 8 9 + 10 7 2 30 5 6 4 5 + 8 6 1 10 2 7 4 5 + 6 3 1 9 8 9 + 2 3 5 6 8 9 + 5 6 1 3 6 7 + 2 3 5 6 1 9 + 2 3 5 6 1 6 + 2 3 1 6 1 3 + 5 3 2 3 7 9 |