# CLASS-4ARRANGING 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