Question

Rational numbers lies between the given numbers.
3/8 and 7/15​

Answer 1

Answer:

Step-by-step explanation:

Rational Number between 3/8 and 7/8

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

Fraction 1 as a decimal → = 0.375

Fraction 2 as a decimal → = 0.875

Take the average of 0.375 and 0.875

Average  =   0.375 + 0.875

 2

Average  =   1.25

 2

Average (Rational Number Between) = 0.625

Now use our first decimal of 0.375 and the rational number we found of 0.625 as our two new endpoints

Take the average of 0.375 and 0.625

Average  =   0.375 + 0.625

 2

Average  =   1

 2

Average (Rational Number Between) = 0.5

Now use our first decimal of 0.375 and the rational number we found of 0.5 as our two new endpoints

Take the average of 0.375 and 0.5

Average  =   0.375 + 0.5

 2

Average  =   0.875

 2

Average (Rational Number Between) = 0.4375

Now use our first decimal of 0.375 and the rational number we found of 0.4375 as our two new endpoints

The 3 rational numbers between 3/8 and 7/8 are below

1) = 0.625

2) = 0.5

3) = 0.4375