Question

insert three rational number between ⅓ and ½

Answer 1

Answer:

Three Rational Number between given rational number are 21/60 , 23/60 and  27/60.

Step-by-step explanation:

We are given with two rational numbers. = $\frac{1}{3}\:\:and\:\:\frac{1}{2}$

We need to find three rational between given rational numbers.

First we convert them in like rational numbers means rational numbers with same denominators.

LCM of 2 and 3 = 6

So,

$\frac{1}{3}=\frac{1\times2}{3\times2}=\frac{2}{6}$

$\frac{1}{2}=\frac{1\times3}{2\times3}=\frac{3}{6}$

Now clearly from like numbers their are no rational number between them.

Now we increase the vale of there numerator such that we get required number of rational between obtained rational numbers.

Consider,

$\frac{2}{6}=\frac{2\times10}{6\times10}=\frac{20}{60}$

$\frac{3}{6}=\frac{3\times10}{6\times10}=\frac{30}{60}$

Rational number between given numbers are 21/60 , 23/60 and 27/60

Therefore, Three Rational Number between given rational number are 21/60 , 23/60 and  27/60.