Question

arrange the following fractions in ascending order and descending order with explanation, 2/9, 2/3, 8/21

Answer 1

Answer:

ascending order = 2/9, 8/21, 2/3

Descending order = 2/3, 8/21. 2/9

Step-by-step explanation:

Find the LCM of 9, 3, and 21

9 = 3²

3 = 3

21 = 3 x 7

LCM = 3² x 7 = 63

Convert to common denominator:

2/9 = 14/63

2/3 = 42/63

8/21 = 24/63

Arranging them in ascending order

14/63 < 24/63 < 42/63

⇒ 2/9, 8/21, 2/3

Arranging them in descending order

42/63 > 24/63 > 14/63

⇒ 2/3, 8/21. 2/9

Answer: ascending order = 2/9, 8/21, 2/3 ; Descending order = 2/3, 8/21. 2/9