Question

1) find five rational numbers between 3/5 and 4/5
2) Find six rational numbers between 1/2 and 2/3​

Answer 1

Answer:

4

Step-by-step explanation:

Answer 2

Answer:

hey mate here is your answer

Step-by-step explanation:

(1st answer ↓)

→ Rational number is any number that can

express in the form of p/q of two integers

,where q cannot be zero .

→ the rational number between 3 /5 and 4/5 is

average of 3/5 and 4/5

→ 1 / 2( 3/5 + 4/5) = 1/2 ( 3+4)/5 = 7/10

→ the second rational number between 3/5 and

4/5 can be calculated  by calculating the

average of 3/5 and 7 /10

→ 1/2 ( 3/5 + 7/10 )  = 1/2 ( 6+ 7 )/10 = 13/20

→ The third rational number between 3 /5 and

4/5 can be calculated  by calculating the

average of 7 /10 and 4/5

→ 1/2 ( 7/10 + 4/5) = 1/2 ( 7+8) / 10 =15/20

→ The fourth rational number between 3 /5 and

4/5  can be calculated by calculating the

average of 3/5 and 13/20

→1/2 ( 3/5 + 13/20)= 1/2 ( 12 + 13 )/20 = 25 / 40

→ The fifth rational number between  3/5 and

4/5 can be calculated by calculating the

average of 13/20 and 4/5

→ 1/ 2( 13/20 + 4/5) = 1/2 ( 13 + 16) /20 = 29/40

→ so ,five rational number are between 3/5 and

4 /5 are 7/10 , 13/20, 15/20, 27/40 , and 29/ 40

→ ( note: in any two rational we can find infinite rational number).

(2nd answer)

→ LCM of 2 and 3 is 6.

→ 1/2=3/6=9/18

→ 2/3=4/6=12/18

→ 10/18,11/18 are 2 rational numbers between

1/2 and 2/3.

hope it was help full thank you