1. To add or subtract mixed numbers with different denominators, first add or subtract the whole numbers. Then find the LCD and use it to convert the fractions to equivalent fractions with a common denominator. Finally, add or subtract the fractions and reduce if possible. 2. Examples provided demonstrate finding the LCD, converting to equivalent fractions with the common denominator, then adding or subtracting the fractions and reducing if needed. Rules for adding and subtracting mixed numbers with different denominators are explained.

1. ADDING AND SUBTRACTING
MIXED NUMBERS

2.  add or subtract the whole numbers
 then, find the LCD or Least Common Denominator
 divide the LCD and the first denominator and
multiply the quotient to the numerator and do
the same to the second fraction
 reduce the fraction to its lowest form if possible
Rules in Adding and Subtracting Mixed
Numbers with Different Denominators

3. 1.) 3
1
2
+ 2
1
3
= 3 + 2 +
3+2
6
= 5
5
6
2.) 9
3
4
− 5
2
3
= 9 − 5 +
9−8
12
= 4
1
12
Examples:

4. 1. )
1
4
+
2
5
2. )
3
4
−
1
3
3. )
1
2
−
2
7
4. )
1
6
+
1
2
5. )
2
3
−
1
6