Question

list four rational nos. between
$\frac{ - 1}{5} and \frac{ - 4}{13}$
​

Answer 1

To Find :

• Four rational numbers between -1/5 and -4/13

Solution :

Firstly, we will make the denominator same and after that we will find four rational numbers between -1/5 and -4/13.

Making the Denominators same :

• For making the denominators same we wI'll take LCM (lowest common factor) of the denominator.
• LCM of Denominators :
• 5 | 5 , 13
• 13 | 1 , 13
• | 1 , 1
• LCM of 5 and 13 is 13 × 5 = 65

Making the Fraction same :

• -1/5 = -1 × 13/5 × 13 = -13/65
• -4/13 = -4 × 5/13 × 5 = -20/65

So, there are infinitely many rational numbers between -13/65 and -20/65.

Therefore :

• Four rational numbers between -1/5 and -4/13 are -14/65 , -15/65 , -16/65 , -17/65.

━━━━━━━━━━━━━━━━━━━━━━━━