Find a rational number exactly halfway between: 1/6 and 1/9

Solution:

We know that

A rational number that is halfway between a and b = (a + b)/2

The given rational numbers are 1/6 and 1/9

Consider a = 1/6 and b = 1/9

Substituting the values

Rational number = [1/6 + 1/9]/2

Taking LCM

Rational number = [(1 × 3)/ (6 × 3) + (1 × 2)/ (9 × 2)]/2

By further calculation

Rational number = (3/18 + 2/18)/2

Rational number = (5/18)/2

Rational number = 5/(18 × 2)

So we get

Rational number = 5/36

Therefore, the rational number exactly halfway between is 5/36.

✦ Try This: Find a rational number exactly halfway between: 1/4 and 1/7

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9

NCERT Exemplar Class 7 Maths Chapter 8 Problem 93(b)

Find a rational number exactly halfway between: 1/6 and 1/9

Summary:

A rational number exactly halfway between 1/6 and 1/9 is 5/36

☛ Related Questions:

• Find a rational number exactly halfway between: 5/-13 and -7/9
• Find a rational number exactly halfway between: 1/15 and 1/12
• Taking x = -4/9, y = 5/12 and z = 7/18, find: the rational number which when added to x gives y