Question

write three rational number between 1 upon 2 and 1 upon 3​

Answer 1

$\underline\bold{\huge{SOLUTION\: :}}$

Given:

$\frac{1}{2} \: and \: \frac{1}{3}$

To find 3 rational no's. between them

$\underline\bold{STEP\: 1\::}$First Make the denominator equal .

To do this find LCM of both the no's.

Since 2 and 3 they don't have Common

factor Multiply both the numbers.

Multiplying we got 6

So, 6 is the LCM of the given number.

Now,

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

And again

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

$\underline\bold{STEP\: 2\: :}$ MULTIPLY both the no's. by 5

both Denominator and Numerator.

$\frac{3 \times 5}{6 \times 5} = \frac{15}{30}$

And another number also

$\frac{2 \times 5}{6 \times 5} = \frac{10}{30}$

So, three rational no's.between

$\frac{1}{2} \: and \: \frac{1}{3}$

are

$\frac{11}{30} \: \frac{12}{30} \: \frac{13}{30} \: \frac{14}{30}$