Question

find four rational number between 1/3 and 1/2 please please jaldi solve kar do Kal exam ha​

Answer 1

Answer: 11/30 , 12/30 , 13/30 , 14/30

Step-by-step explanation:

Check the image for explanation

Answer 2

Given:

• 2 Rational numbers: 1/3 and 1/2.

Find:

4 rational numbers between them.

Solution:

First let's convert the given rational numbers to like rational numbers [With same denominator].

LCM of the denominators = Product of the numbers [as the denominators are co-prime numbers,i.e. have no other common factor other than 1]

So, LCM = 3*2 = 6.

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

So, now, for our convenience, let's multiply the numerator and denominator of both the fractions to create new equivalent fractions.

$\frac{2}{6} = \frac{2 \times 10}{6 \times 10} = \frac{20}{60} \\\\\frac{3}{6} =\frac{3 \times 10}{6 \times 10} = \frac{30}{60}$

So, we now have 9 rational numbers between 1/3 and 1/2.

They are:

$\frac{21}{60},\frac{22}{60},\frac{23}{60},\frac{24}{60},\frac{25}{60},\frac{26}{60},\frac{27}{60},\frac{28}{60} \:\: and \:\: \frac{29}{60}.$