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# Equivfract

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### Equivfract

1. 1. YEAR 11 MATHS Equivalent fractions
2. 2. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 2 4
3. 3. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 3 6
4. 4. What is an equivalent fraction The shaded portion is 1 2 The shaded portion is 4 8
5. 5. What is an equivalent fraction The shaded portion is 1 2 1 is the same as 2 3 4 5 and so on 2 4 6 8 10 2 3 4 5 and so on are called equivalent fractions of 1 4 6 8 10 2
9. 9. Equivalent fractions. <ul><li>Now consider these two </li></ul>Multiply by 5 Add 3 Add 2 Multiply by 5 <ul><li>Q. What number is ? </li></ul><ul><li>3 multiplied by 10 to make 30. So multiply 2 by 10 to get </li></ul><ul><li>= 20 </li></ul>
10. 10. Equivalent fractions. <ul><li>What are the missing numerators? </li></ul>
11. 11. Equivalent fractions <ul><li>Use the same approach to find the missing </li></ul><ul><li>denominators of equivalent fractions </li></ul>
12. 12. Writing different fractions with t <ul><li>Use the same approach to find the missing </li></ul><ul><li>denominators of equivalent fractions </li></ul>
13. 13. Writing different fractions with the same denominators <ul><li>Take the fractions 1 and 1 </li></ul><ul><li>2 3 </li></ul><ul><li>Now </li></ul><ul><li>And </li></ul><ul><li>The fractions with the same denominators are arrowed. The smallest common denominator is 6. So we have </li></ul>
14. 14. Writing different fractions with the same denominators <ul><li>As 3 parts out of 6 is bigger than 2 parts out of 6 </li></ul><ul><li>is bigger than </li></ul><ul><li>This is how we know is bigger than </li></ul>
15. 15. Writing different fractions with the same denominators <ul><li>Take the fractions 1 1 and 1 </li></ul><ul><li>2 3 4 </li></ul><ul><li>Now </li></ul><ul><li>The fractions with the smallest same denominator is arrowed. </li></ul>
16. 16. Ordering fractions <ul><li>Order the fractions 1 1 and 1 </li></ul><ul><li>2 4 3 </li></ul><ul><li>We know: </li></ul><ul><li>6 out of 12 is biggest, 4 out of 12 is next, then 3 out of 12 </li></ul><ul><li>So the order is </li></ul>
17. 17. Classwork <ul><li>Ex A page 366 </li></ul><ul><li>Q1 </li></ul><ul><li>Q4 </li></ul><ul><li>Q6 </li></ul><ul><li>Q7 </li></ul>
18. 18. Harder ordering of fractions <ul><li>Order the fractions 1 1 and 2 </li></ul><ul><li>2 3 5 </li></ul><ul><li>Rather than work out equivalent fraction lists – which will here take a long long time! - we use a short cut. </li></ul><ul><li>Step 1 : Multiply all 3 denominators = 2 x 3 x 5 = 30 </li></ul><ul><li>Step 2 : Find the fractions equivalent to the one with denominator 30 </li></ul><ul><li>So </li></ul><ul><li>. </li></ul>biggest smallest middle
19. 19. Classwork <ul><li>Ex A P 366 </li></ul><ul><li>Q3 </li></ul><ul><li>Ex B p 368 </li></ul><ul><li>Q1 </li></ul><ul><li>Q2 </li></ul><ul><li>Q4 </li></ul>
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