Question

Find five rational numbers between 1/4 and 1/2. Find ten rational number between -2/5 and 1/2.​

Answer 1

Answer:

1. 1/4 and 1/2

LCM of 4 and 2 = 4

1/4 = 1*10/4*10 = 10/40

1/2 = 1*20/2*20 = 20/40

5 rational numbers between 1/4 and 1/2 are 11/40, 12/40, 13/40, 14/40, 15/40

2.-2/5 and 1/2

LCM of 2 and 5 = 10

-2/5 = -2*20/5820 = -40/100

1/2 = 1*50/2*50 = 50/100

10 rational numbers are 0/100, 1/100, 2/100, 3/100, 4/100, 5/100, 6/100, 7/100, 8/100, 9/100

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Answer 2

We have to find Five Rational numbers between 1/4 and 1/2


So, we will multiply both the fractions by 5+1 = 6


= 1*6/4*6 and 1*6/2*6

= 6/24 and 6/12

Now take reciprocal

12/6 and 24/6

= 13/6,14/6,15/6,16/6,17/6,


Hope it helps