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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 6 - Mathematics
3.4 Comparing Rational Numbers - II

Method II. Using the arithmetical process
  • The denominators are same:
    If the denominators are same, the fraction with the smaller numerator is less than the other.
    Example: Compare -3/8 and -7/8?
    In the given rational numbers the denominators are same, so we compare the numerators.
    -7 is less than -3, therefore, -7/8 < -3/8
  • The numerators are same:
    If the numerators are same, the fraction with the smaller denominator is greater than the other.
    Example: Compare 1/2 and 1/3?
    In the given rational numbers, the numerators are same, so we compare the denominators.
    i.e., 2 is less than 3, therefore, 1/2 > 1/3
  • The numerators and denominators are different:
    If the denominators of two fractions are not same, we should change them into fractions having the same denominators.
    Example: Compare 3/5 and 4/7?
    In the given rational numbers, the denominators are not same, so we change them to like denominators.
    3/5 = 3/5 x 7/7 = 3x7/5x7 = 21/35.
    4/7 = 4/5 x 5/5 = 4x5/7x5 = 20/35.
    Now the denominators are same and 20 is less than 21.
    Therefore, 20/35 < 21/35.
    i.e., 4/7 < 3/5.

Directions: Compare the given rational numbers using arithmetical process, and use the sign "<" or ">" to answer. Also write at least 10 examples of your own.
Q 1: 1/3 _____ 7/9?
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Q 2: 1/3 _____ 5/6?
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Q 3: 17/8 _____ 37/21?
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Q 4: 5/7 _____ 1/3?
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Q 5: 4/5 _____ 6/11?
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Q 6: 3/8 _____ 3/9?
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Q 7: 2/3 _____ 3/4?
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Q 8: 3/17 _____ 4/5?
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Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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