1. Rational numbers Mixed
Adding subtracting
Rational numbers Mixed

2. + ( + ) = + + ( - ) = - - ( - ) = + - ( + ) = -
Rules of Addition and subtraction
Rule 1
Two numbers have same sign
Add the numbers
Copy bigger number sign
Rule 2
Two numbers have different sign
Subtract the numbers
Copy bigger number sign
Rules of multiplication
Converting 2 symbols into 1
Rule 1
Multiply same sign  Answer is +
+ ( + ) = +
- ( - ) = +
Rule 2
Multiply different sign Answer is –
+ ( - ) = -
- ( + ) = -

3. 6 73 - 72 1 Example 1: Step1:- Convert each mixed fraction into
improper fraction − -
x 4
x 3
By rule,
- (-) = +
Step2:- Rewrite rational number with
denominator of 12
x 4
x 3
Step 3 – Rewrite rational numbers with
common denominator
By addition rule, both signs
are different then subtract
and put bigger number’s sign
Step 4 – Add rational numbers with like
denominator 6 73
- 72 1
Step 5:- Convert the improper rational
number into mixed rational number

4. 30 9 271 - 27 1 Example 2: Step1:- Convert each mixed fraction into
improper fraction − +
x 3
By rule,
+ (-) = -
Step2:- Rewrite rational number with
denominator of 9
x 3
Step 3 – Rewrite rational numbers with
common denominator
By addition rule, both signs are same then add and put bigger number’s sign
Step 4 – Add rational numbers with like
denominator 30
- 27 1
Step 5:- Convert the improper rational number into mixed rational number

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