Chapter 5: Operations on Rational Numbers Exercise – 5.1

Question: 1

Add the following rational numbers:

Solution:

We have,

We have,

We have,

We have,

 

Question: 2

Add the following rational numbers:

Solution:

If p/q and r/s are two rational numbers such that q and s do not have a common factor

If p/q and r/s are two rational numbers such that q and s do not have a common factor

LCM of 27 and 18 is 54

LCM of 4 and 8 is 4

 

Question: 3

Simplify

Solution:

LCM of 5 and 10 is 10

LCM of 16 and 24 is 48

LCM of 12 and 15 is 60

LCM of 19 and 57 is 57

 

Question: 4

Add and express the sum as a mixed fraction:

Solution:

LCM of 5 and 10 is 10

LCM of 7 and 4 is 28