Question

Write 5 rational number between 1/6 and 1/5

Answer 1

To find rational no. between 1/6 and 1/5 first we need the LCM of 65 i.e. 6 x 5 = 30. Next,(for 1/6) 1 x5=5 and 6 x 5 =30 that is 5/30 .Then,(for 1/5) 1 x 6=6 and 5 x 6=30 that is 6/30.There is no rational numbers between 5/30 and 6/30. So we have to multiply both the resultant numbers with 10 ,then it comes- (5x10 / 30x10)=50/300 and (6x10 / 30x10)= 60/300.Therefore the five rational numbers between 50/300 and 60/300 are -51/300 , 52/300, 53/300, 54/300 , 55/300.

Hope it help u

Answer 2

[ first of all we need to bring the dinominators of both the no. equal ]

[ if we need to bring 5 rational no. then we need to multiply each no. by 6 ]

$\frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30} = \frac{5 \times 6}{30 \times 6} = \frac{30}{180}$

$\frac{1}{5} = \frac{1 \times 6}{5 \times 6} = \frac{6}{30} = \frac{6 \times 6}{30 \times 6} = \frac{36}{180}$

[ so, now we have 5 no. in between ]

♦ 5 rational no. between 1/6 & 1/5 are

$\frac{31}{180} \: \frac{32}{180} \: \frac{33}{180} \: \frac{34}{180} \: \frac{35}{180}$