Adding and subtracting fractions – when denominators are the same When adding or subtracting fractions that have the same denominator, simply add the numerators – the denominators stay the same. e.g. 2. If the answer is a proper fraction, simplify to its lowest form (if possible). If the answer is an improper fraction, convert to a mixed number. 5 8 4 8 9 8 + = 9 8 = 1 8 1
Adding and subtracting fractions – when denominators are different (but multiples of the same number) When adding or subtracting fractions that have different denominators, identify equivalent fraction(s) so the denominators are the same. Repeat the steps as in the previous slide. 2 3 7 12 + = 8 12 7 12 + = x4 15 12 = 3 12 1 15 12 8 12 7 12 + = 1 4 1
Adding and subtracting fractions – when denominators are different (and not multiples of the same number). When adding or subtracting fractions that have different denominators, identify equivalent fraction(s) so the denominators are the same by multiplying the numerator and denominator by the denominator of the other fraction. Repeat the steps as in the previous slide. 3 5 7 9 + = 27 45 35 45 + = x9 62 45 = 17 45 1 62 45 27 45 35 45 + = x5