Question

Find three rational number
between 4/13,4/13!
​

Answer 1

$Three rational number between \frac{4}{13}134 and \frac{1}{13}131  are \frac{15}{52},\frac{14}{52},\frac{13}{52}5215,5214,5213 .</h3><h3></h3><h3>Step-by-step explanation:</h3><h3></h3><h3>To find : Insert three rational number between \frac{4}{13}134 and \frac{1}{13}131 ?</h3><h3></h3><h3>Solution :</h3><h3></h3><h3>Multiply and divide the numbers by 4,</h3><h3></h3><h3>\frac{4}{13}=\frac{4\times 4}{13\times 4}=\frac{16}{52}134=13×44×4=5216</h3><h3></h3><h3>\frac{1}{13}=\frac{1\times 4}{13\times 4}=\frac{4}{52}131=13×41×4=524</h3><h3></h3><h3>The three numbers between 16 and 4 is 15,14,13.</h3><h3></h3><h3>The rational number between \frac{16}{52}5216 and \frac{4}{52}524are a</h3><h3></h3><h3>\frac{15}{52},\frac{14}{52},\frac{13}{52}5215,5214,5213 .</h3><h3></h3><h3>Therefore, three rational number between \frac{4}{13}134 and \frac{1}{13}131  are \frac{15}{52},\frac{14}{52},\frac{13}{52}5215,5214,5213 .</h3><h3></h3><h3>$

Answer 2

$\huge\bigstar\:$$\Huge\tt\underline\blue{ANSWER}$

$\huge\bigstar\:$$\Huge\tt\underline\blue{With\:EXPLAINATION}$

4/13 and 1/13

To get the rational numbers find The LCM-

Here 13 is the L.C.M

So,

But here we get 2 rational numbers only-

2/13 and 3/13

Now to get 3 rational numbers , multiply the numbers by hundred .

So,

4/13 × 100/100 = 400/130

1/13 = 100×100 = 100/130

So three rational numbers between 400/130 and 100/130

= 140/130 , 190/130 , 399/130