Question

Find only rational number between 3 1/2 and 3 2/3

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

$3 \frac{10}{11}$is only rational number between $3 \frac{1}{2} \: and \: 3\frac{2}{3}$

Step-by-step explanation:

Given two numbers are $3 \frac{1}{2}$ and $3 \frac{2}{3}$

Now,

$3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} \\ = \frac{7}{2}$

and

$3 \frac{2}{3} = \frac{3 \times 3 +2 }{3} \\ = \frac{11}{3}$

Now we want to find rational number between $\frac{7}{2}$ and $\frac{11}{3}$

Now LCM of 2 and 3 is 6.

We are multiplying numerator and denominator of $\frac{7}{2}$ by 3 and get $\frac{21}{6}$

and we are multiplying numerator and denominator of $\frac{11}{3}$

by 2 and get $\frac{22}{6}$

Now we get two fractions

$\frac{21}{6}$ and $\frac{22}{6}$

Again we are multiplying numerator and denominator by 2 of both fraction

$\frac{21}{6}$ and $\frac{22}{6}$ and get

$\frac{42}{12} \: and \: \frac{44}{12}$

It is clear that rational number between

$\frac{42}{12} \: and \: \frac{44}{12}$ is $\frac{43}{11}$

Therefore,

$\frac{43}{11} = 3 \frac{10}{11}$

is the only rational number between $3 \frac{1}{2} \: and \: 3\frac{2}{3}$

Know more about rational numbers,

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