Question

Find three rational numbers between 5/7 and 7/8

Answer 1

Answer:

three rational numbers between 5/7 and 7/8   are  

(42/56 , 44/56 , 47/56)

Step-by-step explanation:

we are to find the three rational numbers between 5/7 and 7/8

let's convert the above two numbers denominators to same numbers

5/7 can be multiplied with (8/8) and it doesn't variates.

5/7 = (5/7)(8/8)

= (5X8)/(7X8) = 40/56

also 7/8 can be multiplied with (7/7)

7/8 = (7/8)(7/7)

=(7X7)/(8X7)=49/56

so the numbers 5/7 and 7/8 can be written as :

40/56 and 49/56 respectively.

any  three rational numbers between  40/56 and 49/56 are:

42/56 , 44/56 , 47/56

three rational numbers between 5/7 and 7/8   are  

(42/56 , 44/56 , 47/56)