Addition of Fractions

1. Add
1
5
and
2
5
.

  
1
5
+
2
5

=
1 + 2
5

=
3
5

2. Mrs. Singh had a cloth.
     She cut
1
2
of the cloth for Cynthia and
1
3
of the cloth for Felicia.
     What fraction of the cloth did she cut altogether for the two children?

When the fractions to be added have different denominators, we must first change them to their equivalent fractions with the same denominator.

Cynthia:
1
2
=
3
6

Felicia:
1
3
=
2
6


Now, we add the two fractions as below:
3
6
+
2
6
=
5
6


She cut
5
6
of the cloth for the two children.

3. Audrey had a melon.
     She used
1
3
of it for a shake,
1
12
of it for a salad and
3
12
of it for an icecream.
     What fraction of the melon did she use altogether?

Shake:
1
3
=
4
12

Salad:
1
12

Icecream:
3
12


  
1
12
+
1
12
+
3
12

=
4
12
+
1
12
+
3
12

=
8
12

=
2
3
(We must give our answer in the simplest form)

She used
2
3
of the melon altogether.