This document discusses how to add dissimilar fractions with and without regrouping. It provides examples of adding fractions without regrouping by finding the lowest common denominator and then adding the numerators. For fractions requiring regrouping, it explains finding the lowest common denominator to write equivalent fractions, adding the numerators, and copying the common denominator. Mixed numbers are added by first changing the fractions to equivalent fractions with the same denominator, then adding the whole numbers and fractions separately before simplifying the final answer.

1. Adding Dissimilar
Fractions With and
Without Regrouping

2. Adding Dissimilar Fraction without
regrouping
Example:
What is the sum of
1
3
+
2
5
+
1
4
?
Step 1:To add, make the given fractions into a similar by getting
their LCD.
3:3,6,9,12,15,18,21,24,27,30, …..60
5:5,10,15,20,25,30,35,40,45,50,55,60
4:4,8,12,16,20,24,28,32,36,40,44,……60

3. What is the sum of
1
3
+
2
5
+
1
4
?
20 + 24 + 15
60
=
LCD: 60
59
60
=
Step 2: Add the numerators
and copy the common
denominator.

4. Adding dissimilar fractions with
regrouping
Example:
What is the result
when
20
24
+
13
42
is solved?
Step 1:Find the LCD of the
given fractions to write their
equivalent fractions.
24: 24,48, 72, 96, 120, 144, 168
42: 42, 84, 126, 168

5. Example:
What is the result
when
20
24
+
13
42
is solved?
140 + 100
168
LCD: 168=
Step 2:Add the numerators
and copy the common
denominator.
240
168
= or 1
72
168
Step 3: Simplify the answer
if possible.
1
3
7
or
24
24

6. Adding mixed number with dissimilar
fraction
Find the sum of 2
1
5
𝑎𝑛𝑑 3
2
4
Step 1: Make the dissimilar
fractions into similar by getting
their LCD of the fractions to write
their equivalent fractions.
5: 5, 10, 15, 20
4: 4, 8, 12, 16, 20
LCD: 20
4 + 10
20
(2+3) +Step 2: Add the fraction
and the whole numbers.
5
14
20
5
7
10
or
 Simplify the answer if
possible.
2
2
=

7. Remember:
When adding dissimilar fractions:
Always change first the dissimilar fraction into similar
fractions, by getting their LCD.
Then add the numerator and copy the common denominator.
(If there’s a whole number, add also the whole numbers.)
Simplify the answer if possible.