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# Equivalent Fractions

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### Equivalent Fractions

1. 1. Equivalent Fractions What They Are & How To Work Them Out. For more maths help & free games related to this, visit: www.makemymathsbetter.com
2. 2. Firstly, you need to know what a fraction is: The number on the bottom of a fraction is called the denominator. This tells you how many equal size pieces the fraction is divided into.
3. 3. Firstly, you need to know what a fraction is: The number on the bottom of a fraction is called the denominator. This tells you how many equal size pieces the fraction is divided into. 1/2 (one half) is divided into 2 equal size pieces
4. 4. Firstly, you need to know what a fraction is: The number on the bottom of a fraction is called the denominator. This tells you how many equal size pieces the fraction is divided into. 1/2 (one half) is divided into 2 equal size pieces one third 1/3 (one third) is divided into 3 equal size pieces one third one third
5. 5. Firstly, you need to know what a fraction is: The number on the bottom of a fraction is called the denominator. This tells you how many equal size pieces the fraction is divided into. 1/2 (one half) is divided into 2 equal size pieces one third 1/3 (one third) is divided into 3 equal size pieces one third one third 1/4 (one quarter) is divided into 4 equal size pieces one quarter one quarter one quarter one quarter
6. 6. The number on the top of a fraction is called the numerator. This tells you how many of these equal size pieces there are. 2/3 means two-thirds one third one third one third one quarter
7. 7. The number on the top of a fraction is called the numerator. This tells you how many of these equal size pieces there are. 2/3 means two-thirds one third one third one third 3/4 means three-quarters one quarter one quarter one quarter one quarter
8. 8. The number on the top of a fraction is called the numerator. This tells you how many of these equal size pieces there are. 2/3 means two-thirds one third one third one third one quarter one quarter 3/4 means three-quarters one quarter one quarter One fifth One fifth 4/5 means four-fifths One fifth One fifth One fifth
9. 9. Having learned what a fraction is, you now need to learn about equivalent fractions. One quarter One half One quarter One sixth One sixth One sixth
10. 10. Having learned what a fraction is, you now need to learn about equivalent fractions. Equivalent fractions are 2 or more fractions that mean the same thing. One quarter One half One quarter One sixth One sixth One sixth
11. 11. Having learned what a fraction is, you now need to learn about equivalent fractions. Equivalent fractions are 2 or more fractions that mean the same thing. One quarter One half One quarter 1 2 one half
12. 12. Having learned what a fraction is, you now need to learn about equivalent fractions. Equivalent fractions are 2 or more fractions that mean the same thing. One quarter One half One quarter 1 2 one half Is equivalent to: 2 4 two quarters One sixth One sixth One sixth
13. 13. Having learned what a fraction is, you now need to learn about equivalent fractions. Equivalent fractions are 2 or more fractions that mean the same thing. One sixth One quarter One sixth One half One quarter 1 2 one half Is equivalent to: 2 4 two quarters One sixth Is equivalent to: 3 6 three sixths
14. 14. Having learned what a fraction is, you now need to learn about equivalent fractions. Equivalent fractions are 2 or more fractions that mean the same thing. One sixth One quarter One sixth One half One quarter 1 2 one half Is equivalent to: 2 4 two quarters One sixth Is equivalent to: 3 6 three sixths These 3 fractions all take up the same amount of space and have the same value.
15. 15. Equivalent fractions can be found by using a fraction wall like this:
16. 16. However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example:
17. 17. However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example: X2 1 3 2 6 X2
18. 18. However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example: X2 1 3 X3 2 6 X2 2 3 6 9 X3
19. 19. However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example: X2 1 3 X3 2 6 X2 2 3 X7 6 9 X3 2 5 14 35 X7
20. 20. However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example: X2 1 3 X3 2 6 X2 20 25 X5 6 9 X3 X5 4 5 2 3 X7 2 5 14 35 X7
21. 21. However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example: X2 1 3 X3 2 6 2 3 X2 1 6 4 24 X4 2 5 14 35 X7 X4 20 25 X5 6 9 X3 X5 4 5 X7
22. 22. However, at times you will need to generate fractions that are equivalent to each other. This is done by multiplying the numerator (the number at the top of the fraction) and the denominator (the number at the bottom of the fraction) by the same amount. For example: X2 1 3 X3 2 6 2 3 X2 2 5 14 35 X7 X4 20 25 X5 6 9 X3 X5 4 5 X7 1 6 X6 4 24 X4 4 7 24 42 X6
23. 23. Sometimes you will be asked to find the missing denominator or numerator in a pair of equivalent fractions, e.g: 3 4 ? 12
24. 24. Sometimes you will be asked to find the missing denominator or numerator in a pair of equivalent fractions, e.g: 3 4 ? 12 You have to work out what the original denominator has been multiplied by to give the new denominator. In this case, 4 x 3 = 12 You then have to multiply the original numerator by the same number:
25. 25. Sometimes you will be asked to find the missing denominator or numerator in a pair of equivalent fractions, e.g: 3 4 ? 12 You have to work out what the original denominator has been multiplied by to give the new denominator. In this case, 4 x 3 = 12 You then have to multiply the original numerator by the same number: X3 3 4 9 12 X3
26. 26. EXAMPLE 2: 5 7 ? 35
27. 27. EXAMPLE 2: 5 7 ? 35 In this case, 7 x 5 = 35 You therefore have to multiply the original numerator by the same number:
28. 28. EXAMPLE 2: 5 7 ? 35 In this case, 7 x 5 = 35 You therefore have to multiply the original numerator by the same number: X5 5 7 25 35 X5
29. 29. The process is similar when you are asked to find the missing denominator in a pair of equivalent fractions, e.g: 2 5 8 ?
30. 30. The process is similar when you are asked to find the missing denominator in a pair of equivalent fractions, e.g: 2 5 8 ? You have to work out what the original numerator has been multiplied by to give the new numerator. In this case, 2 x 4 = 8 You then have to multiply the original denominator by the same number:
31. 31. The process is similar when you are asked to find the missing denominator in a pair of equivalent fractions, e.g: 2 5 8 ? You have to work out what the original numerator has been multiplied by to give the new numerator. In this case, 2 x 4 = 8 You then have to multiply the original denominator by the same number: X4 2 5 8 20 X4
32. 32. EXAMPLE 2: 5 9 40 ?
33. 33. EXAMPLE 2: 5 9 40 ? In this case, 5 x 8 = 40 You therefore have to multiply the original denominator by the same number:
34. 34. EXAMPLE 2: 5 9 40 ? In this case, 5 x 8 = 40 You therefore have to multiply the original denominator by the same number: X8 5 9 40 72 X8
35. 35. EXAMPLE 2: 5 9 40 ? In this case, 5 x 8 = 40 You therefore have to multiply the original denominator by the same number: X8 5 9 40 72 X8 For more help with your maths, try my book: mastering multiplication tables on amazon.com