Question

find 6 rational numbers between 1/2 and 1/3

Answer 1

Concept:

A rational number is one that can be written as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.

Given:

$\frac{1}{2} and \frac{1}{3}$

To find:

The 6 rational numbers

Solution:

In this question, we have to find 6 rational numbers between

So, we will go step-by-step.

First, we'll make the denominators equal, i.e., we'll take the LCM.

$\frac{1}{2}*\frac{3}{3} \\\frac{1}{3}*\frac{2}{2}$

So, we get $\frac{3}{6} and \frac{2}{6}$

Now, we will again make the denominators equal by multiplying and dividing by 7

$\frac{3}{6} *\frac{7}{7} \\\frac{2}{6}*\frac{7}{7}$

So, we get, $\frac{21}{42} and \frac{14}{42}$

Therefore the 6 rational numbers are $\frac{15}{42} ,\frac{16}{42},\frac{17}{42}, \frac{18}{42} , \frac{19}{42},\frac{20}{42}$

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