Question

Q- The Rational no. between 1/3 and 1/2 is _________

(i) 2/5
(ii) 1/5
(iii) 3/5
(iv) 4/5​

Answer 1

Step-by-step explanation:

$\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6} = \frac{2 \times 2}{6 \times 2} = \frac{4}{12} \\ \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6} = \frac{3 \times 2}{6 \times 2} = \frac{6}{12}$

One rational number between $\frac{1}{3} \: and \: \frac{1}{2} \: is \: \frac{5}{12}$

Answer 2

$\huge{\underline{\bf{\green{Given:-}}}}$ Find rational numbers between 1/3 and 1/2.

$\huge{\underline{\bf{\pink{Solution:-}}}}$

The first step is to make the denominators equal

This will be done by :- LCM

1/3 and 1/2 ( lcm is equal to 6)

→ 2/6 and 3/6

Now,

We have to find 3 rational numbers .

So,

We will multiply 3+1 = 4 into denominator

So,

2*4/6*4 = 8/24

3*4/6*4 = 12/24

Now,

The rational numbers between 8/24 and 12/24 are

9/24, 10/24 , 11/24

Or

3/8 , 5/12, 11/24 are the rational number between 1/3 and 1/2.