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Comparing Fractions

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Information about Comparing Fractions
Education

Published on June 18, 2008

Author: ttravis

Source: authorstream.com

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Slide 1: Comparing Fractions and Like Fractions Slide 2: Fractions on Number Lines 0 1 2 3 4 5 Remember: Numbers get larger as they move to the right on a number line. Fractions can be ordered on a number line just like whole numbers. Slide 3: Proper Fractions Proper fractions are fractions in which the numerator is less than the denominator. 1/2 is a proper fraction. 3/2 is NOT a proper fraction. Positive proper fractions are greater than 0 and less than 1. They are found between 0 and 1 on the number line. 0 1 2 3 4 5 Slide 4: Identify the Proper Fraction 5/1 7/6 4/5 4/5 3/4 10/9 8/1 3/4 3/2 5/9 6/2 5/9 7/3 2/1 4/3 None Slide 5: Locate Fractions On The Number Line The whole is the distance between 0 and 1 on the number line. We can locate fractions on a number line by dividing that whole distance into equal parts just as we divide other amounts into equal parts to find fractions. 0 14 24 34 1 For example, the number line below is divided into four equal parts or fourths. Slide 6: Divide a fraction on the number line into fifths. 0 13 23 1 Divide a fraction on the number line into thirds. Draw a fraction on the number line into fifths on your own paper. 0 1/5 2/5 3/5 4/5 1 Slide 7: Where is 3/4 located? 34 0 14 24 1 Where is 1/6 located? 16 0 26 36 46 56 1 Slide 8: Can you make one? On your own paper, draw two number lines without numbers that can be used to show fractions. Make up a question to go with your number line. For example, "Where is 2/3 on the number line? Slide 9: Fraction Size on the Number Line 0 13 23 1 Just as numbers increase in size as they move to the right on the number line, so fractions increase in size as they move to the right, farther from 0 and closer to 1. < < < Put the following fractions in order from least to greatest: 1, 2/6, 4/6, 0, 1/6, 3/6, 5/6 0 < 1/6 < 2/6 < 3/6 < 4/6 < 5/6 < 1 Slide 10: What do you notice? What do you notice about the numbers we just put in order? 0 < 1/6 < 2/6 < 3/6 < 4/6 < 5/6 < 1 Except for 0 and 1, the fractions are all sixths. We can just look at the numerators and compare them because more equal pieces is a greater amount than fewer equal pieces. 1/6, 2/6, 3/6, 4/6, and 5/6 are like fractions. Slide 11: Comparing Like Fractions Like fractions have the same denominator. For example, 3/4 and 2/4 are like fractions. When we compare like fractions, we just compare the numerators because the denominators are the same. For example, with 3/4 and 2/4, we say that 3 is more than 2 because both fractions are fourth Slide 12: Can we visualize like fractions? Yes ! Which fractions below are like fractions? Slide 14: Adding Like Fractions Slide 15: Adding Like Fractions With Hersheys + = 5 16 7 16 12 16 Slide 16: + = or 3 16 + 4 16 = 7 16 + = or 6 16 + 3 16 = 7 16 Slide 17: Adding Like Fractions When adding like fractions with the same denominator, add the numerators only and keep the same denominator. 16 + 16 = 26 38 + 48 = 78 13 + 13 = 23 Slide 18: Let's Practice! Copy these problems on your own paper and solve. 14 14 + = 39 59 + = 68 18 24 14 25 25 + + + = = = 24 89 78 34 45 Slide 19: Subtracting Like Fractions When subtracting like fractions with the same denominator, subtract the numerators only and keep the same denominator. 23 - 13 = 13 23 - 13 13 89 - 69 = 29 Slide 20: Let's Practice! Copy these problems on your own paper and solve. 34 14 - = - = 78 18 24 14 45 25 - - - = = = 24 68 14 25 33 23 13 Make up 4 problems with subtracting like fractions on your own paper and solve. Slide 21: Reducing Fractions Slide 22: Quick Review Prime numbers can only be divided by 1 and itself. Factors are the numbers that when multiplied together will equal that number. Slide 25: Let's Practice! 24 39 12 13 26 13 48 12 = = = = 2 is lowest common factor. 2 is lowest common factor. 3 is lowest common factor. 4 is lowest common factor. Slide 26: Did you notice a pattern in the practice problems? Each of the problems had the lowest common factor in the problem. Remember this strategy: Check the problem to see if the lowest common factor is already present. Then Abra Cadabra - YOUR DONE!

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