Adding and Subtracting Dissimilar and Mixed Numbers

1. ADDING AND SUBTRACTING
DISSIMILAR FRACTIONS AND
MIXED NUMBERS

2. Rules in Adding and Subtracting
Dissimilar Fractions
 get 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

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

4.  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

5. 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: