Find the three rational numbers between 3/6 and 3/4
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Answered by
113
given :-
3/6 and 3/4
here we've to find any three rational numbers between them though they've ∞ rational numbers between them.
so first of all, we needa make the denominators of both rational numbers same
LCM of 6 and 4 = 2 × 2 × 3
= 12
- 3/6 = (3 × 2)/(6 × 2)
= 6/12
- 3/4 = (3 × 3)/(4 × 3)
= 9/12
still we don't have enough rational numbers.
let's multiply both the fractions by 2
» 6/12 = (6 × 2)/(12 × 2) = 12/24
» 9/12 = (9 × 2)/(12 × 2) = 18/24
hence, three rational numbers between them are 13/24, 14/24 and 15/24
there are many other rational numbers too.. it's up to u.. you can choose any 3.
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find three rational number between
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