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Targeting Grade C

GCSE Mathematics. Targeting Grade C. Number Unit 2 Fractions. If not you need. Can you… Add and subtract fractions Multiply and divide fractions Try a test Find fractions of amounts Try a test. TOP : Review equivalent fractions

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Targeting Grade C

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  1. GCSE Mathematics Targeting Grade C Number Unit 2 Fractions

  2. If not you need • Can you… • Add and subtract fractions • Multiply and divide fractions • Try a test • Find fractions of amounts • Try a test TOP: Review equivalent fractions Practice 1: Add and subtract fractions Practice 2: Multiply and divide fractions TAIL 1 Practice 3: Find fractions of amounts TAIL 2

  3. Equivalent fractions are found by multiplying the numerator and denominator by the same value OR dividing the numerator and denominator by the same value! TOP Write down two equivalent fractions for the following: • ½ • ¼ • 2/3 • 6/8 Write the following in their lowest terms: • 10/15 • 36/45 • 12/20 • 6/8 • 26/4 • 32/9 • 15/6 • 24/5 Lowest terms can also be written as simplest form or cancel down. Fractions with a bigger number on the top are called improper fractions and cancel down into mixed numbers (a whole number with a fraction). Lesson

  4. Remember: to add or subtract fractions the denominator MUST be the same – use equivalent fractions to help you! Practice 1: Complete the following problems: • ¼ + 2/4 • ½ + ¼ (3)2/3 + 2/5 (4)5/8 + 3/5 (5)9/14 – 2/7 (6)7/20 – 3/10 (7)16/25 – 8/10 (8)3 ½ + 22/3 (9) 7 ¾ - 41/5 (10) 102/5 – 6 ¾ (11)20/24 + 23/8 (12) 157/8 – 11 ¾ When adding or subtracting mixed numbers, add/subtract the whole numbers first, then do the fractions, then put back together! Keep an eye out for those negative fractions! Lesson

  5. REMEMBER these three rules! For  and  DO NOT find a common denominator – simply do top  top and bottom  bottom! You CANNOT divide fractions – change the into a  and turn the fraction following the sign upside down (into its reciprocal)! Practice 2: Now try these multiplication and division problems: • ½  ¾ (2) 2/5 ¼ (3) 3/7  4/5 (4) 9/14  4/7 (5) 7/12  2/3 (6) 6/7  9/10 (7) 9/11  3/22 (8) 3 ½  2 ¼ (9) 4 2/5  2 3/8 (10) 6 1/3  2 ¾ (11) 3 3/5  4 1/6 (12) 4 2/7  7/12 DO NOT multiply/divide the whole numbers separately – make your mixed numbers into improper fractions, then multiply/divide as normal! Lesson

  6. Are you ready for the answers ? TAIL 1 ¼ 8/15 2/5  ¾ ¾ - ½ 1 ½  3/7 9/14 1/5 + 2/3 13/15 2 3/5  1 2/9 2 7/55 4 5/8 – 2 ½ 2 1/8 3 47/81 3 2/9  27/30 5/8  1/3 5/24 3 4/9 + 2 5/18 5 13/18 Lesson 2 5/7  3 1/3 9 1/21

  7. Divide by the denominator and multiply by the numerator OR multiply by the numerator and divide by the denominator. Practice 3: Find the fractions of the following amounts: • ½ of £30 • ¾ of 24kg • 2/5 of 120m • 7/8 of 36km • 9/10 of £65 • 5/8 of 96 miles Lesson

  8. TAIL 2 (1) £6.00 (2) 21 metres (3) ¼ of £160 = £40 3/8 of £160 = £60 40 + 60 + 28 = 128 160 -128 = 32 32/160 = 1/5 • Find 5/8 of £9.60 • Find 3/5 of 35 metres • Ann wins £160. She gives ¼ of the money to Pat, 3/8 to John and £28 to Peter. What fraction of the £160 does Ann keep? Give your fraction in its simplest form. • A hotel has 72 rooms. Work out the number of rooms that are not empty. • (a) 3 2/3 + ¾ (b) 4/5 × 2/3 (c) 3/5 ÷ ¼ (d) 2 ½ - 4/5 (4) 72 / 8 × 3 = 27 72 – 27 = 45 (5) (a)3 8/12 + 9/12 = 3 17/12 =4 5/12 (b) 8/15 (c) 3/5 × 4/1 = 12/5 =2 2/5 (d) 2 5/10 – 8/10 = 2 – 3/10 =1 7/10 Are you ready for the answers ? Lesson

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