find three rational numbers between 7/2 and 22/5
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Given :
- 1st rational number = 7/2
- 2nd rational number = 22/5
To Find :
- Three rational number between the given rational number.
Solution :
First we convert given rational numbers to rational number with the same denominator equal to the LCM (Lowest Common Factor) of their denominator. The LCM of denominator 6 and 9 is :
2 | 2 , 5
5 | 1 , 5
| 1 , 1
⛬ LCM of 2 and 5 = 2 × 5 = 10
⠀⟶⠀7/2 = 7 × 5/2 × 5 = 35/10
⠀⟶⠀22/5 = 22 × 2/5 × 2 = 44/10
Between 35 and 44 there are eight integers 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43
⛬ Three Rational numbers between 7/2 and 22/5 are 36/10 , 37/10 and 38/10
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