Question

three rational numbers between 2/3 and 5/6 step by step explanation

Answer 1

Answer:

take lcm of both

lcm= 18

divide 18 from both denominator

1 will 6 so multiply by 2*6/3*6

2 will 3 so multiply by 5*3/6*3

if you not get 3 rational number

so multiply it by nominator and denominator of both numbers

Step-by-step explanation:

answer 121/180 122/180 ....................149/180

Answer 2

Answer:

17/24,18/24,19/24

Step-by-step explanation:

step 1 = As we have to find 3 rational numbers between 2/3 and 5/6 so we will multiply both the numerator and denominator of the numbers with 4(3+1)

so,

2/3 X 4/4 and 5/6 X 4/4

= 8/12 and 20/24

step 2 = take L.C.M of the denominators(12 and 24)

L.C.M is 24

so,

multipy both denominator and numerator of  8/12 with 2/2 and 20/24 with 1/1(as to make the denominator 24)

= 8/12 X 2/2 and 20/24 X 1/1

= 16/24 and 20/24

the three rational numbers between 2/3 and 5/6 are

1. 17/24
2. 18/24
3. 19/24