Question

Find five rational numbers between 2/3and4/5​

Answer 1

31/45, 32/45, 11/15, 34/35, 7/9.

Step-by-step explanation:

The LCM of 3 and 5 is 15 so we can write 2/3 and 4/5 as:

10/15 and 12/15 so one rational number between these is 11/15.

Now 11/15 = 33/45 and 4/5 = 36/45

So 2 rationals between these are 34/45 and 35/45 = 7/9

2/3 = 30 /45 and 11/15 = 33/45

so 2 rationals between these are 31/45 and 32/45.

Answer 2

61 / 90, 62 /90, 63 /90, 64/90, 65/90

Step-by-step explanation:

2/3 = 2 x 5 / 3 x 5

= 10 / 15

4/5 = 4 x 3 / 5 x 3

12 / 15

we can find 5 rational numbers betwen 2/3 and 4/5 by multiplying them with 5 + 1 = 6

10 / 15 X 6 /6

= 60 / 90

12/ 15 X 6 /6

= 72 / 90

the rational numbers = 61 / 90 62 /90 63 /90 64/90 65/90