Question

the rational number not lie between 3/12 and 8/12is​

Answer 1

Step-by-step explanation:

Many numbers doesn't lie between 3/12 and 8/12 except these:

1.)4/12

2.)5/12

3.)6/12

4.)7/12

Answer 2

Given: Two rational numbers-  $\frac{3}{12}$ and $\frac{8}{12}$

To find: A rational number that does not lie between the given numbers

Solution:

To find the required rational number, first let's reduce the given rational numbers to their lowest form

We get, $\frac{3}{12} = \frac{3}{12}$ ÷ $\frac{3}{3} = \frac{1}{4}$ and $\frac{8}{12} = \frac{8}{12}$ ÷ $\frac{4}{4} = \frac{2}{3}$

Since we know that the rational numbers between any two given numbers are calculated by finding their equivalent fractions and then choosing the numbers in between.

So, the required number is any number which lies outside the range of the given numbers.

To find such number, we need to multiply both numerator and denominator of the given number by different numbers.

We get,  $\frac{1}{4}$ × $\frac{2}{3} = \frac{2}{12}$

Similarly, more such numbers can be found.

Hence, $\frac{2}{12}$ is a rational number which does not lie between $\frac{3}{12} \ and \ \frac{8}{12}$