# Insert a rational number and an irrational number between 1/3 and 1/2

**Solution:**

Given, the numbers 1/3 and 1/2

Rational numbers are numbers which are in the form of p/q, where q is not equal to 0, p and q are integers.

Irrational numbers are numbers which are in decimal form.

To find a rational number R, we use the formula,

R = (p + q)/2

Let p = 1/3 and q = 1/2, we get,

p + q = 1/3 + 1/2

= (2 + 3)/6

= 5/6

R = (5/6)/2

R = 5/12.

To find an irrational number Q, we use the formula,

Q = √pq

where p and q are not perfect squares.

Q = √1/3(1/2)

Q = √1/6.

Q = 0.408248….

Therefore, the rational number is 5/12 and the irrational number is √1/6.

**✦ Try This: **Insert a rational number and an irrational number between 2 and -3.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 3(iii)**

## Insert a rational number and an irrational number between 1/3 and 1/2

**Summary:**

The rational number and irrational number between 2 and 3 are 5/12 and 0.408248…. respectively

**☛ Related Questions:**

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