Question

find six rational numbers between : a. 4/7 and 1/7 b. 1/5 and7/10​

Answer 1

Step-by-step explanation:

The rational numbers −2/5 and 1/7

By taking LCM for 5 and 7 which is 35

So, −2/5=(−2×7)/(5×7)=−14/35

1/7=(1×5)/(7×5)=5/35

Now, we can insert any 10 numbers between −14/35 and 5/35

i.e., −13/35,−12/35,−11/35,−10/35,−9/35,−8/35,−7/35,−6/35,−5/35,−4/35,−3/35,−2/35,−1/35,1/35,2/35,3/35,4/35

Hence, the ten rational numbers between −2/5 and 1/7 are

−6/35,−5/35,−4/35,−3/35,−2/35,−1/35,1/35,2/35,3/35,4/35