Question

find three rational number between 1/3 and 1/2

Answer 1

Given numbers are :-

1/3 and 1/2

The first step is to make the denominators equal
This will be done by :- LCM

1/3 and 1/2 ( lcm is equal to 6)

2/6 and 3/6

Now,

We have to find 3 rational numbers .

So,
We will multiply 3+1 = 4 into denominator

So,
2*4/6*4 = 8/24

3*4/6*4 = 12/24

Now,
The rational numbers between 8/24 and 12/24 are

9/24, 10/24 , 11/24

Answer 2

Answer:

Three rational numbers between  $\frac{1}{3}$ and $\frac{1}{2}$  = $\frac{9}{24}, \frac{10}{24}, \frac{11}{24}$

Step-by-step explanation:

Given

The rational numbers $\frac{1}{3}$ and $\frac{1}{2}$

To find,

Three rational numbers between the given two numbers

Solution

The given numbers are  $\frac{1}{3}$ and $\frac{1}{2}$

To find the rational numbers between  $\frac{1}{3}$ and $\frac{1}{2}$ , we need to find the equivalent fractions of   $\frac{1}{3}$ and $\frac{1}{2}$ with the same denominator

Let us take the denominator as 24

Equivalent fraction of   $\frac{1}{3}$ with denominator 24 =   $\frac{1}{3}$ ×$\frac{8}{8}$ = $\frac{8}{24}$

Equivalent fraction of  $\frac{1}{2}$  with denominator 24 = $\frac{1}{2}$ ×$\frac{12}{12}$= $\frac{12}{24}$

The rational numbers  between  $\frac{1}{3}$ and $\frac{1}{2}$ = The rational numbers between   $\frac{8}{24}$ and$\frac{12}{24}$

= $\frac{9}{24}, \frac{10}{24}, \frac{11}{24}$

∴ Three rational numbers between  $\frac{1}{3}$ and $\frac{1}{2}$  = = $\frac{9}{24}, \frac{10}{24}, \frac{11}{24}$

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