Operating with Fractions SACHS

e.g. Your turn: 1.→ multiply or divide both terms by the same amount 2 7 3 5 = x4 = x4 Equivalent fractions14 12 20 and 2.24 32 3 4 = ÷2 ÷2 = 16 12 15 e.g. Your turn: 3.→ divide both terms by the same amount (HCF). 14 4 15 9 = ÷3 = ÷3 Simplifying fractions3 5 and 4.24 32 6 15 = ÷8 ÷8 = 4 3 e.g. Your turn: 5.→ number x denominator + numerator 3 2 1 4 + x 3 5 = = Convert to Improper fractions4 13 5 and 6.4 + x 3 4 5 10 3 = = 19 4 e.g. Your turn: 7.→ divide by the denominator → the remainder stays in fraction form 13 5 4 9 = → 13 divided by 5 = 2 r 3 → Convert to Mixed numerals4 8.17 3 = = 2 3 5 Your turn: 9.e.g. → only add / subtract the numerators 7 2 5 3 11.+ + 7 3 1 5 4 5 = = Add / subtract fractions+ 5 4 3 5 and = 5 6 7 10.= − 10 8 4 7 − = 5 10 [same denominator] 5 7 2 = e.g. → create equivalent fractions with common denominators → only add / subtract the numerators= = 5 x 15 20 4 19 3 20 + + 20 4 5 1 Add / subtract fractionsx 4 12.= 10 5 2 Your turn: + + 1 2 [different denominator] = e.g. → create equivalent fractions with common denominators → only add / subtract the numerators= = 5 x 15 20 4 19 3 20 + + 20 4 5 1 Add / subtract fractionsx 4 13.= 15 5 4 Your turn: − − 1 3 [different denominator] = Your turn: 14.e.g. → multiply the numerators → multiply the denominators 7 2 5 3 16.× × 5 3 3 4 2 5 = = Multiplying fractions× 20 9 3 4 and = 5 7 15.= × 2 3 2 3 × = 1 3 21 10 = 18.Your turn: 17.e.g. → put the whole number over 1 and multiply 5 2 4 3 5 3 × × × 15 20 100 = = Fractions of whole numbers= 4 3 5 3 5 2 × × × 15 1 = = 45 5 = 4 = 9 = 5 = 20.Your turn: 19.e.g. → 'Invert and multiply' 4 1 2 3 5 3 ÷ ÷ ÷ 3 2 5 3 3 4 = = = Dividng fractions4 1 5 2 3 3 × × × 4 3 = = = 12 15 ÷3 ÷3 = = 4 5 21.20.Your turn: e.g. 30 sec out of 2 minutes = → convert to the same (smaller) unit → simplify as a fraction 12 h out of 1 day = 50 g out of 1 kg = Express as a fraction1 kg 50 g 12 h 1d = = 12 h 50 g 30 s 2 m h = g = = 120 s 30 s 12 1000 = = 120 30 = 1 ÷30 ÷30 5 = 1 4 = 20 1 |

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