Find a rational number exactly halfway between: 5/-13 and -7/9
Solution:
We know that
A rational number that is halfway between a and b = (a + b)/2
The given rational numbers are 5/-13 and -7/9
Consider a = 5/-13 and b = -7/9
Substituting the values
Rational numbers = [5/-13 + (-7/9)]/ 2
Rational numbers = [-5/13 - 7/9]/2
As the LCM of 13 and 9 is 117
Rational numbers = [(-5 × 9)/ (13 × 9) - (7 × 13)/ (9 × 13)]
By further calculation
Rational numbers = [-45/117 - 91/117]/2
Rational numbers = [(-45 - 91)/117]/2
So we get
Rational numbers = -136/ (117 × 2)
= -136/234
Therefore, the rational number exactly halfway between is -136/234.
✦ Try This: Find a rational number exactly halfway between: 7/-15 and -5/7
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9
NCERT Exemplar Class 7 Maths Chapter 8 Problem 93(c)
Find a rational number exactly halfway between: 5/-13 and -7/9
Summary:
A rational number exactly halfway between 5/-13 and -7/9 is -136/234
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