Question

insert 3 rational numbers between 1/3 and 1/2​

Answer 1

Answer:

Three rational numbers between $\frac{1}{3} and \frac{1}{2}$ are $\frac{13}{36} , \frac{14}{36} and \ \frac{15}{36}$.

Step-by-step explanation:

Explanation:

According to the question we need to insert 3 rational numbers between$\frac{1}{3}$ and $\frac{1}{2}$.

Rational number- A rational number is one that can be stated mathematically as the ratio or fraction $\frac{p}{q}$ of two numbers, where p and q are the numerator and denominator, respectively.

Step 1:

On multiplying $\frac{1}{3} \ by \frac{2}{2}$ we get ,

⇒$\frac{1}{3}$ × $\frac{2}{2}$ = $\frac{2}{6}$ ,

And on multiplying $\frac{1}{2}$ by  $\frac{3}{3}$we get,

⇒$\frac{1}{2}$ × $\frac{3}{3} = \frac{3}{6}$

Now, we multiplied $\frac{2}{6} and \frac{3}{6}$ by $\frac{6}{6}$ we get,

⇒$\frac{2}{6}$ × $\frac{6}{6}$ = $\frac{12}{36}$ and $\frac{3}{6}$ ×$\frac{6}{6} = \frac{18}{36}$.

So, three rational numbers between $\frac{12}{36} and \ \frac{18}{36}$ are ,

$\frac{13}{36} , \frac{14}{36} and \ \frac{15}{36}$.

Final answer:

Hence, three rational numbers between $\frac{1}{3} and \frac{1}{2}$ are $\frac{13}{36} , \frac{14}{36} and \ \frac{15}{36}$.

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