Question

find five rational numbers between -5\6 and 7\9​

Answer 1

To Find :

• Five rational numbers between -5/6 and 7/9.

Solution :

In this question, we have to find five rational numbers between -5/6 and 7/9. So firstly we will take the LCM (Lowest Common Factor) of the denominators to make the fraction same. After that we will find five rational numbers between -5/6 and 7/9.

LCM of the denominators :

• LCM of the denominators = 2 | 6 , 9
• LCM of the denominators = 3 | 3 , 9
• LCM of the denominators = 3 | 1 , 3
• LCM of the denominators = | 1 , 1
• LCM of the denominators = 2 × 3 × 3 = 2 × 9 = 18

Making the Fraction same :

• -5/6 = -5 × 3/6 × 3 = -15/18
• 7/9 = 7 × 2/9 × 2 = 14/18

Therefore :

• Five rational numbers between -5/6 and 7/9 are -14/18 , -13/18 , -1/18 , 5/18 and 10/18.

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