Question

find the three rational number between 3/9 and 3/7​

Answer 1

Answer:

To find a rational number between two fractions, we convert each fraction to decimals

Fraction 1 as a decimal → = 0.33333333333333

Fraction 2 as a decimal → = 0.42857142857143

Take the average of 0.33333333333333 and 0.42857142857143

Average  =   0.33333333333333 + 0.42857142857143

                                           2

Average  =   0.76190476190476

                           2

Average (Rational Number Between) = 0.38095238095238

Now use our first decimal of 0.33333333333333 and the rational number we found of 0.38095238095238 as our two new endpoints

Take the average of 0.33333333333333 and 0.38095238095238

Average  =   0.33333333333333 + 0.38095238095238

  2

Average  =   0.71428571428571

  2

Average (Rational Number Between) = 0.35714285714286

Now use our first decimal of 0.33333333333333 and the rational number we found of 0.35714285714286 as our two new endpoints

The 2 rational numbers between 3/9 and 3/7 are below

1) = 0.38095238095238

2) = 0.35714285714286