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MEAP Preparation - Grade 7 Mathematics
1.41 Arranging Rational Numbers in Descending Order

Rational numbers with same denominator:
Compare the numerators and arrange the rational numbers in descending order from highest to lowest.

Rational numbers with different denominators:
Find the LCM of the denominators
Write the equivalent fractions
Compare the numerators and arrange the rational numbers in descending order from highest to lowest.

Example: Arrange the rational numbers 1/2, 2/3, and 7/8 in descending order.

The LCM of the denominators 2, 3, and 8 is 24.
Rewrite the rational numbers with a common denominator.
1/2 = 12/24
2/3 = 16/24
7/8 = 21/24

Therefore, arranging in descending order, we get 7/8 > 2/3 > 1/2.


Directions: Arrange the given rational numbers in descending order. Also write at least 10 examples of your own.
Q 1: 5/12, 4/10, 3/14, 1/16
5/12 > 4/10 > 3/14 > 1/16
1/16 > 3/14 > 5/12 > 4/10
5/12 > 4/10 > 3/14 > 1/16

Q 2: 4/7, 1/2, 2/3, 8/9
4/7 > 1/2 > 2/3 > 8/9
8/9 > 4/7 > 2/3 > 1/2
8/9 > 2/3 > 4/7 > 1/2

Q 3: 7/8, 5/16, 9/24, 3/4
9/24 > 7/8 > 5/16 > 3/4
3/4 > 7/8 > 5/16 > 9/24
7/8 > 3/4 > 9/24 > 5/16

Q 4: 2/3, 7/8, 12/27
2/3 > 7/8 > 12/27
12/27 > 7/8 > 2/3
7/8 > 2/3 > 12/27

Q 5: 5/6, 3/4, 1/3, 1/2
5/6 > 3/4 > 1/2 > 1/3
5/6 > 3/4 > 1/3 > 1/2
3/4 > 5/6 > 1/2 > 1/3

Q 6: 8/13, 6/11, 4/15, 2/10
8/13 > 6/11 > 4/15 > 2/10
6/11 > 2/10 > 8/13 > 4/15
8/13 > 6/11 > 2/10 > 4/15

Q 7: 7/14, 6/16, 3/8, 4/20
6/16 > 4/20 > 7/14 > 3/18
7/14 > 6/16 > 4/20 > 3/18
4/20 > 7/14 > 6/16 > 3/18

Q 8: 6/12, 4/14, 2/16, 1/18
2/18 > 6/12 > 4/14 > 1/18
4/14 > 2/18 > 1/18 > 6/12
6/12 > 4/14 > 2/18 > 1/18

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Question 10: This question is available to subscribers only!


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