6. 6/8 + 7/8 = Try It Out 13/16 1/8 8/13 13/8 The answer is 13/8 because the size of the pieces are eighths. When you add 6/8 to 7/8 you add the numerators (6 +7) and keep the denominator the same (8).
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9. Try It Out…. 4/9 _____ 6/9 < > = The correct answer is 4/9 < 6/9 because in these two fractions, the denominators are the same. Therefore, the pieces are the same size. Four of these pieces are less than six. 1/9 1 / 9 1 / 9 1 / 9 1 / 9 1 / 9 1 / 9 1 / 9 1 / 9 1/9 1/9 1/9 1/9 1/9 1 / 9 1/9 1/9 1/9
10. Try It Out…. 8/9 _____ 7/8 < > = 8/9 is > 7/8 In each of these two fractions, there is all but one piece. However, because 9ths are smaller than 8ths, the remaining 1/9 is smaller than the remaining 1/8.
11. Try It Out…. 1/3 _____ 5/12 < > = 1/3 is < 5/12 If you change 1/3 into an equivalent fraction, it would be equal to 4/12. 4 out of 12 is less than 5 out of 12.
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13. Here are some examples…. ¾ = 75/100 = 75% 2/5 = 40 / 100 = 40% 14/50 = 28/100 = 28% Click on the small pails to play practice games! 34% = 34/100 = 17/50 125% = 125/100 = 1 ¼ .5% = .5 /100 = 1/200
14. Click on the characters to play fraction and percent games and activities!
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19. Learn about and practice converting improper fractions and mixed numbers by clicking the objects on this slide.
20. Finding Equivalent Fractions For example 3/6 is equivalent to 10/20 because the relationship between the numerator and the denominator is the same in each case: 3 is ½ of 6, and 10 is ½ of 20. Two fractions are EQUIVALENT if they are equal . This means that the relationship between the numerator and the denominator of one fraction is the same as the relationship between the numerator and denominator of the other fraction.
21. Another way you can look at it is if two fractions are equivalent, they will have a scale factor between them. The SCALE FACTOR is the number that you multiply or divide the numerator and denominator in one fraction by to get the numerator and denominator of the second fraction. By multiplying 3/5 by 3/3 (remember, that is the same as multiplying by 1 whole), I will arrive at the answer 9/15. Remember that when you are doing this you must BE FAIR and perform the same operation to both the numerator and the denominator. Don’t forget that when you multiply fractions, you multiply the numerators together and you multiply the denominators together. 3 9 5 15 = x3 x3
22. A third way to determine if two fractions are equivalent is to CROSS MULTIPLY. 4 2 6 3 = = x = 12 x = 12 Multiply the numerator of one fraction by the denominator of the other. Repeat this with the other numerator and denominator. If the products are equal, then the fractions are equivalent.
23. Click me to print a worksheet Find equivalent fractions Click me for a visual demonstration Click me to practice. Click us to play fraction frenzy Click me to play half baked fractions on funbrain