write 5rational numbers between -5/8and 7/6
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Answer:
-6/8, -/7/8, -8/9 ,-2/6, -5/6.
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To Find :
- Five rational numbers between -5/8 and 7/6
Solution :
For finding five rational numbers between -5/8 and 7/6 we have to make the denominator same after that we can find five rational numbers between -5/8 and 7/6. For making the Denominators same we will take the LCM (Lowest Common Factor) of the denominator.
Making the Denominators same :
- LCM of denominator = 2 | 8 , 6
- LCM of denominator = 2 | 4 , 3
- LCM of denominator = 2 | 2 , 3
- LCM of denominator = 3 | 1 , 3
- LCM of denominator = | 1 , 1
- LCM of denominator = 2 × 2 × 2 × 3 = 4 × 6 = 24
Making the Fraction same :
- -5/8 = -5 × 3/8 × 3 = -15/24
- 7/6 = 7 × 4/6 × 4 = 28/24
There are infinitely many rational number between -15/24 and 28/24.
Therefore :
- Five rational numbers between -5/8 and 7/6 are -10/24 , -7/24 , -5/24 , 10/24 and 15/24 .
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