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Mathematics

Mathematics. Fractions Re-cap1. Equivalent fractions spider diagram. Cancelling fractions to their lowest terms. Which of these fractions are expressed in their lowest terms?. 14. 20. 3. 15. 14. 32. 16. 27. 13. 21. 35. 15.

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Mathematics

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  1. Mathematics Fractions Re-cap1

  2. Equivalent fractions spider diagram

  3. Cancelling fractions to their lowest terms Which of these fractions are expressed in their lowest terms? 14 20 3 15 14 32 16 27 13 21 35 15 A fraction is said to be expressed in its lowest terms if the numerator and the denominator have no common factors. 7 5 2 8 7 5 Fractions which are not shown in their lowest terms can be simplified by cancelling.

  4. Mixed numbers and improper fractions 15 15 15 is an improper fraction. 4 4 4 3 3 4 When the numerator of a fraction is larger than the denominator it is called an improper fraction. For example, We can write improper fractions as mixed numbers. can be shown as =

  5. Improper fraction to mixed numbers + + + + = 1 1 1 1 8 8 8 5 8 5 = + + + + 8 8 8 8 8 8 37 37 37 = 8 8 8 4 4 4 4 5 5 5 = 8 8 Convert to a mixed number. This number is the remainder. 4 37 ÷ 8 = 4 remainder 5 This is the number of times 8 divides into 37.

  6. Mixed numbers to improper fractions 3 3 1 1 1 = + + + 7 7 7 2 2 2 2 7 7 7 7 7 7 7 = + + + 23 = 7 7 Convert to an improper fraction. … and add this number … To do this in one step, 3 3 … to get the numerator. 2 2 23 = 7 7 Multiply these numbers together …

  7. Find the missing number

  8. Finding a fraction of an amount 2 2 What is of £18? 3 3 of £18 We can see this in a diagram: = £18 ÷ 3 × 2 = £12

  9. Finding a fraction of an amount 2 5 To find of an amount we need to add 1 times the amount to two fifths of the amount. 1 2 2 2 7 5 5 5 5 of 3.5 m = 1 so, of 3.5 m = We could also multiply by 1 What is of 3.5m? 1 × 3.5 m = 3.5 m and 1.4 m 3.5 m + 1.4 m = 4.9 m

  10. MathsBlox

  11. Using equivalent fractions 5 5 5 5 12 24 12 12 24 12 Now, write and as equivalent fractions over 24. 3 3 3 3 ×2 ×3 8 8 8 8 = < = ×2 ×3 Which is bigger or ? To compare two fractions convert them to equivalent fractions. First we need to find the lowest common multiple of 8 and 12. The lowest common multiple of 8 and 12 is 24. 9 10 and so,

  12. Ordering fractions

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