# CLASS-4ARRANGING FRACTION IN ASCENDING ORDER WITH DIFFERENT NUMERATOR & DENOMINATOR

ARRANGING FRACTION IN ASCENDING ORDER WITH DIFFERENT NUMERATOR & DENOMINATOR -

ASCENDING ORDER -

Convert the fractions to the like denominators (or numerators) and then compare and order them.

8         9        7

EXAMPLE.1) Arrange in ascending order ------, ------, ------

25        16       10

Ans.) Here, the denominators 25, 16, and 10. as well as numerator 8, 9, and 7 of the given fraction is not equal.

Denominators of the given fractions are 25, 16, and 10.

In this case we have to find out the LCM of denominator of given fraction. LCM of 25, 16 and 10 is 400.

So, now we will find the equivalent fractions.

8            8 X 16          128

------- = ------------ = -------

25           25 X 16         400

9          9 X 25          225

------- = ---------- = ---------

16         16 X 25         400

7          7 X 40         280

------- = ---------- = -------

10         10 X 40        400

So, as per the obtained equivalent fraction, numerators are 128, 225, 280

So, 128 < 225 < 280

128          225          280

Or,  -------- < -------- < --------

400          400          400

8            9             7

=>   -------- < -------- < --------          (Ans.)

25           16           10

5         6         3        7

EXAMPLE.2) Arrange in ascending order ------, ------, ------, ------

20       25       10       30

Ans.) Here, the denominators 20, 25, 10, and 30. as well as numerator 5, 6, 3, and 7 of the given fraction is not equal.

Denominators of the given fractions are 20, 25, 10, and 30.

In this case we have to find out the LCM of denominator of given fraction. LCM of 20, 25, 10 and 30 is 300.

So, now we will find the equivalent fractions.

5          5 X 15           75

------ = ----------- = --------

20         20 X 15          300

6          6 X 12          72

------- = ---------- = ---------

25         25 X 12         300

3          3 X 30          90

------- = ---------- = -------

10         10 X 30        300

7         7 X 10        70

------ = --------- = -------

30       30 X 10       300

So, as per the obtained equivalent fraction, numerators are 75, 72, 90, 70

So, 70 < 72 < 75 < 90.

70          72         75         90

Or,  ------- < ------- < ------ < ------

300         300        300       300

7           6           5           3

=>   ------- < ------- < ------- < -------          (Ans.)

30          25          20         10