ADDITION

Addition of Fractions with Same Denominators

If the denominators of two or more fractions are the same, we add the numerators and keep the denominator common.

1. Add the numerators.
2. Keep the denominator the same.
3. Simplify if possible.

a
c
+
b
c
=
a + b
c

Example:

3
5
+
1
5
=
4
5

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Adding Fractions with Different Denominators

Example 1.15
512
+
415

Solution: LCM of 12 and 15 is 60.

25 + 1660
=
4160

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Adding Mixed Fractions

Example 1.16
1
45
+
1115

Solution:

95
+
1115
3815
=
2
815

Example 1.17
2
34
+
3
58

Solution:

114
+
298
518
=
6
38

Mixed Number Converter

0
0
0
=

/

Check
New

Fraction Builder

3
5
1
5
4
15

2
3
4
Drop TWO fractions here

Evaluate

a)
512
+
724
=

Check
Show Working
LCM(12,24)=24
5/12 = 10/24
10/24 + 7/24 = 17/24
b)
67
+
514
=

Check
Show Working
LCM(7,14)=14
6/7 = 12/14
12/14 + 5/14 = 17/14 = 1 3/14
c)
1
14
+
16
=

Check
Show Working
1 1/4 = 5/4
LCM(4,6)=12
5/4 = 15/12
1/6 = 2/12
15/12 + 2/12 = 17/12 = 1 5/12
e)
1
58
+
2
512
=

Check
Show Working
1 5/8 = 13/8
2 5/12 = 29/12
LCM(8,12)=24
13/8 = 39/24
29/12 = 58/24
39/24 + 58/24 = 97/24 = 4 1/24
f)
3
34
+
2
13
=

Check
Show Working
3 3/4 = 15/4
2 1/3 = 7/3
LCM(4,3)=12
15/4 = 45/12
7/3 = 28/12
45/12 + 28/12 = 73/12 = 6 1/12