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MEAP Preparation - Grade 5 Mathematics
1.60 Ascending and Descending Order

Method:
  1. Compare the given fractions.
  2. Ascending Order- Arranging in increasing order (smaller to bigger using < sign).
  3. Descending Order - Arranging in decreasing order (bigger to smaller using > sign).
  4. To compare like fractions: Look at the value of numerators and arrange accordingly.
  5. To compare unlike fractions: Make the denominators common by finding LCM and then compare.
Example: 1/2, 5/2, 7/2 Arrange in descending order.
Since they are like fractions, compare the numerators.
7>5>1
Hence 7/2 > 5/2 > 1/2
Answer: 7/2, 5/2, 1/2

Example : 5/3, 1/2, 3/4 Arrange in ascending order.
These fractions are not like fractions.
Find LCM of the 3, 2 and 4
Multiples of 3 - 3, 6, 9, 12
Multiples of 2 - 2, 4, 6, 8, 10,12
Multiples of 4 - 4, 8, 12
Common multiple is 12 and hence the LCM
LCM is 12.
Multiply and divide each fraction by LCM
5/3 x 12/12 = 20/12
1/2 x 12/12 = 6/12
3/4 x 12/12 = 9/12
From the above 6/12<9/12<20/12
Hence 1/2<3/4<5/3
Answer: 1/2, 3/4, 5/3


Directions: Arrange the following in ascending or descending order. Also write at least ten examples of your own.
Q 1: Arrange 1 2/3, 1/2, 3/4, 4/6 in descending order.
1/2, 4/6, 3/4, 1 2/3
1 2/3, 3/4, 4/6, 1/2
3/4, 1 2/3, 1/2, 4/6

Q 2: Arrange the fractions in descending order. 2/6, 6/6, 5/6, 4/6, 1/6, 3/6
3/6, 2/6, 1/6, 6/6, 5/6, 4/6
6/6, 5/6, 4/6, 3/6, 2/6, 1/6
1/6, 2/6, 3/6, 4/6, 5/6, 6/6

Q 3: Arrange the fractions in ascending order. 2/7, 3/5, 2/3
3/5, 2/7, 2/3
2/7, 3/5, 2/3
2/3, 3/5, 2/7

Q 4: Arrange 1 2/3, 1/2, 3/4, 4/6 in ascending order.
1 2/3, 3/4, 4/6, 1/2
4/6, 1/2, 1 2/3, 3/4
1/2, 4/6, 3/4, 1 2/3

Q 5: Arrange the fractions in descending order. 2/7, 3/5, 2/3
3/5, 2/3, 2/7
2/3, 3/5, 2/7
2/7, 3/5, 2/3

Q 6: Arrange the following sets of fractions in ascending order. 1/5, 3/5, 2/5, 4/5, 5/5
1/5, 2/5, 3/5, 4/5, 5/5
3/5, 2/5, 1/5, 5/5, 4/5
5/5, 4/5, 3/5, 2/5, 1/5

Q 7: Arrange the following sets of fractions in descending order. 1/5, 3/5, 2/5, 4/5, 5/5
4/5, 5/5,1/5, 2/5, 3/5
5/5, 4/5, 3/5, 2/5, 1/5
1/5, 2/5, 3/5, 4/5, 5/5

Q 8: Arrange the following sets of fractions in ascending order 3/5, 1/2, 2/3, 5/6
3/5, 1/2, 5/6, 2/3
5/6, 2/3, 3/5, 1/2
1/2, 3/5, 2/3, 5/6

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Question 10: This question is available to subscribers only!


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