Insert a rational number between and 2/9 and 3/8 arrange in descending order.
Solution:
Given:
Rational numbers: 2/9 and 3/8
Let us rationalize the numbers,
By taking LCM for denominators 9 and 8 which is 72.
2/9 = (2×8)/(9×8) = 16/72
3/8 = (3×9)/(8×9) = 27/72
Since,
16/72 < 27/72
So, 2/9 < 3/8
The rational number between 2/9 and 3/8 is
Hence, 3/8 > 43/144 > 2/9
The descending order of the numbers is 3/8, 43/144, 2/9
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