Find a rational number exactly halfway between: 1/15 and 1/12

Solution:

We know that

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

The given rational numbers are 1/15 and 1/12

Consider a = 1/15 and b = 1/12

Substituting the values

Rational numbers = [1/15 + 1/12]/2

LCM of 15 and 12 = 60

Rational numbers = [(1 × 4)/ (15 × 4) + (1 × 5)/ (12 × 5)]/2

By further calculation

Rational numbers = [4/60 + 5/60]/2

Rational numbers = (9/60)/2

= 9/(60 × 2)

= 9/120

= 3/40

Therefore, the rational number exactly halfway between is 3/40.

✦ Try This: Find a rational number exactly halfway between: 1/13 and 1/10

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

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

Find a rational number exactly halfway between: 1/15 and 1/12

Summary:

A rational number exactly halfway between 1/15 and 1/12 is 3/40

☛ Related Questions:

• Taking x = -4/9, y = 5/12 and z = 7/18, find: the rational number which when added to x gives y
• Taking x = -4/9, y = 5/12 and z = 7/18, find: the rational number which subtracted from y gives z
• Taking x = -4/9, y = 5/12 and z = 7/18, find: the rational number which when added to z gives us x