Question

Find six rational numbers between


and 2/5 and 3/7
plz help​

Answer 1

Step-by-step explanation:

to find rational numbers between these two I will suggest you a very useful trick.

1. observe the fractions carefully and make there denominators same. be carefull the number which you use to make your denominators same should also be multiplied in numerators.
2. now multiply everything with 100
3. it means both the numerators and denominators should be multiplied by 100. believe me you will get correct answer Noone can say it wrong.
4. now keeping the denominator same you should observe that there is a gap of some numbers in the numerators.
5. now trick starts.
6. keeping the denominator same put the values of numerator which occur between those two numerators.

how to apply this method:

1. you have 2/5 and 3/7
2. after making denominators same by multiplying by a suitable number.
3. now your fraction should look like this,
4. 14/35 and 15/35
5. now multiplying everything with 100
6. 1400/3500 and 1500/3500
7. now keeping the denominators same you can pick any number between the numerators.
8. for example ,
9. 1401/3500 , 1402/3500 , 1403/3500 ,................. and you can continue like this till 1499/ 3500
10. remember this values may not match to the answer given in your book .
11. because for this type of questions we have infinite answers

Answer 2

Answer:

=57/140,58/140,59/140.

Step-by-step explanation:

Lcm of 5/7 is 35

=2/5=2×7/5×7=14/35

=3/7=3×5/7×5=15/35

By multiplying the numerator and denominator of 14/35 and 15/35 by 4.

=14/35=14×4/35×4=56/140.

=15/35=15×4/35×4=60/140.

Three rational numbers =57/140,58/140,59/140.

Note:There are infinite rational or irrational numbers between two numbers.