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Compare Fractions

on Dec 06, 2008

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Learn how to compare fractions!

Learn how to compare fractions!

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Compare FractionsPresentation Transcript

• Compare Fractions Mrs. Young EMC 1
• HOW TO COMPARE FRACTIONS
• Vocabulary:
• common denominator
• least common denominator
• like fractions
• unlike fractions.
• Compare Fractions with common denominators The fractions 2 / 4 and 3 / 4 have the same denominator. Fractions with the same denominators are like fractions .
• Compare Fractions with common denominators If denominators are the same , the fraction with the larger numerator is larger. So 3 / 4 is larger than 2 / 4 .
• Compare Fractions with common denominators 9 / 16 and 7 / 16 are like fractions . The numerator 9 in 9 / 16 is larger than the numerator 7 in 7 / 16 , making 9 / 16 larger than 7 / 16 .
• Compare Unlike Fractions The fractions 3 / 4 and 5 / 8 have unlike denominators and unlike numerators. Fractions that have unlike denominators are unlike fractions .
• Compare Unlike Fractions To compare 3 / 4 and 5 / 8 , rename one or both fractions with like denominators making them like fractions . Then compare the numerators. In this case, 3 / 4 is renamed as 6 / 8 so that we can compare the numerator of 6 / 8 and 5 / 8 .
• Compare Unlike Fractions: Step 1
• To compare 3 / 4 and 5 / 8 , rename one or both fractions with like denominators making them like fractions .
• In order to do this, you must find the least common denominator .
• You will have to be able to use your skills of find the least common multiple in order to do this.
• The least common multiple of 4 and 8 is 8.
• This means that we will rename (or find equivalent fractions) using 8 as the denominator.
• Step 1 continued
• Write equivalent fractions for 3 / 4 and 5 / 8 using 8 as the denominator.
• 3 / 4 = 6 / 8
• 5 / 8 = 5 / 8
• Step 2:
• Compare the fractions
• 3 / 4 = 6 / 8
• 5 / 8 = 5 / 8
• 6 / 8 > 5 / 8 , which means that 3 / 4 > 5 / 8
• Compare Unlike Fractions: Step 1
• To compare 5 / 7 and 3 / 5 , rename one or both fractions with like denominators making them like fractions .
• In order to do this, you must find the least common denominator .
• You will have to be able to use your skills of find the least common multiple in order to do this.
• The least common multiple of 7 and 5 is 35.
• This means that we will rename (or find equivalent fractions) using 35 as the denominator.
• Step 1 continued
• Write equivalent fractions for 5 / 7 and 3 / 5 using 35 as the denominator.
• 5 / 7 = 25 / 35
• 3 / 5 = 21 / 35
• Step 2:
• Compare the fractions
• 5 / 7 = 25 / 35
• 3 / 5 = 21 / 35
• 25 / 35 > 21 / 35, which means that 5 / 7 > 3 / 5
• Compare Unlike Fractions: Step 1
• To compare 6 / 9 and 1 / 2 , rename one or both fractions with like denominators making them like fractions .
• In order to do this, you must find the least common denominator .
• You will have to be able to use your skills of find the least common multiple in order to do this.
• The least common multiple of 9 and 2 is 18.
• This means that we will rename (or find equivalent fractions) using 18 as the denominator.
• Step 1 continued
• Write equivalent fractions for 6 / 9 and 1 / 2 using 18 as the denominator.
• 6 / 9 = 12 / 18
• 1 / 2 = 9 / 18
• Step 2:
• Compare the fractions
• 6 / 9 = 12 / 18
• 1 / 2 = 9 / 18
• 12 / 18 > 9 / 18, which means that 6 / 9 > 1 / 2
• Compare the fractions
• 8 / 9 and 5 / 9
• 5 / 6 and 7 / 10
• 3 / 6 and 9 / 11