Question

find five rational numbers between
2/5 and 2/7
3/7 and 4/9​

Answer 1

Step-by-step explanation:

2/5 and 2/7

Take LCM of 7 and 5

LCM is 35

then multiply 2 / 7 with such a number so that we could get 35 that is 2 / 7 *5= 10/35

multiply 2/5 to get 35 that is 2 / 5 into 7 equals to 14 upon 35

so we will have to find the numbers between 10 / 35 and 14 / 35

show the numbers are 11/35 12/35 13/35

we could get three numbers only but the question is we need five rational numbers

so we will multiply the LCM with two that is 70 70 also comes in Table of 7 and 5

then multiply 2/7 with 10 to get 20/70

multiply 2/5 with 14 to get 28 / 70

so now we get so many rational numbers between these two these are as follows 21 / 70, 22 / 70, 23 / 70, 24/70, 25/70, 26 / 70, etc

3/7 and 4/9

Use the same above method.