CLASS-4
ARRANGING IN DESCENDING ORDER WITH DIFFERENT NUMERATOR & DENOMINATOR
ARRANGING IN DESCENDING ORDER WITH DIFFERENT NUMERATOR & DENOMINATOR -
5 9 6 7
Example.1) Arrange in descending order ------, ------, ------, ------
20 10 30 40
Ans.) Here, the denominators 20, 10, 30, and 40. as well as numerator 5, 9, 6, and 7 of the given fraction is not equal.
Denominators of the given fractions are 20, 10, 30, and 40.
In this case we have to find out the LCM of denominator of given fraction.
LCM of 20, 10, 30, and 40 is 120.
So, now we will find the equivalent fractions.
5 5 X 6 30
------- = --------- = --------
20 20 X 6 120
9 9 X 12 108
------- = ---------- = -------
10 10 X 12 120
6 6 X 4 24
------- = ---------- = -------
30 30 X 4 120
7 7 X 3 21
------ = --------- = -------
40 40 X 3 120
So, as per the obtained equivalent fraction, numerators are 30, 108, 24, 21.
So, 108 > 30 > 24 > 21.
108 30 24 21
Or, ------- > ------- > -------- > -------
120 120 120 120
9 5 6 7
=> ------- > ------- > ------- > ------- (Ans.)
10 20 30 40
7 5 2 11
Example.2) Arrange in descending order ------, ------, ------, ------
24 36 27 18
Ans.) Here, the denominators 24, 36, 27, and 18. as well as numerator 5, 9, 6, and 7 of the given fraction is not equal.
Denominators of the given fractions are 20, 10, 30, and 40.
In this case we have to find out the LCM of denominator of given fraction.
LCM of 24, 36, 27, and 18 is 216.
So, now we will find the equivalent fractions.
7 7 X 9 63
------- = --------- = --------
24 24 X 9 216
5 5 X 6 30
------- = ---------- = -------
36 36 X 6 216
2 2 X 8 16
------- = ---------- = -------
27 27 X 8 216
11 11 X 12 132
------- = ---------- = -------
18 18 X 12 216
So, as per the obtained equivalent fraction, numerators are 63, 30, 16, 132.
So, 132 > 63 > 30 > 16.
132 63 30 16
Or, ------- > ------- > -------- > --------
216 216 216 216
11 7 5 2
=> ------- > ------- > ------- > -------- (Ans.)
18 24 36 27