Adding
1/8 + 3/8 =
*Bonus point if in simplest form
4/8 = 1/2
7/10 - 4/10 =
3/10
1/6 x 2/10 =
*Bonus point if in simplest form
2/60 = 1/30
3/8 divided by 6/7 =
3/8 x 7/6 = 21/48
Addition
1/4 + 1/4 =
5/6 + 1/12 =
1/4 + 1/4 = 2/4 = 1/2
5/6 + 1/12 = 10/12 + 1/12 = 11/12
The key is a common denominator. (Same sized pieces.)
5/12 + 3/12 =
*Bonus point if in simplest form
8/12 = 2/3
5/9 - 2/9 =
*Bonus point if in simplest form
3/9 = 1/3
4/9 x 2/3 =
4 x 2 = 8
9 x 3 = 27
8/27
2/10 divided by 5/9 =
*Bonus points if in simplest form
2/10 x 9/5 = 18/50 = 9/25
Subtraction
8/9 - 7/9 =
10/12 - 5/24 =
8/9 - 7/9 = 1/9
10/12 - 5/24 = 20/24 - 5/24 = 15/24
The key is a common denominator. (Same sized pieces.)
2/3 + 1/6 =
4/6 + 1/6 = 5/6
14/20 - 6/10 =
*Bonus point if in simplest form
14/20 - 12/20 = 2/20 = 1/10
7/12 x 2/6 =
*Bonus point if in simplest form
7 x 2 = 14
12 x 6 = 72
14/72 = 7/36
5/8 divided by 3/4 =
*Bonus point if in simplest form
5/8 x 4/3 = 20/24 = 5/6
Multiply
4/5 x 3/5 =
Multiply straight across.
4/5 x 3/5 = 12/25
3/8 + 1/3 =
*Bonus point if in simplest form
9/24 + 8/24 = 15/24 = 5/8
4/7 - 1/5 =
20/35 - 7/35 = 13/35
3/20 x 4/10 =
*Bonus point if in simplest form
3x4 = 12
20 x 10 = 200
12/200 = 3/50
5/6 divided by 1/2 =
*Bonus point if converted into a mixed number
*Bonus point if in simplest form
5/6 x 2/1 = 10/6 = 1 4/6 = 1 2/3
What is the RECIPROCAL of 6/10?
The RECIPROCAL is what you multiply a fraction by to get one whole.
6/10 x 10/6 = 60/60 = 1
Another example:
2/3 x 3/2 = 6/6 = 1
9/12 + 2/9 =
27/36 + 8/36 = 35/36
13/18 - 5/12 =
26/36 - 15/36 = 11/36
11/12 x 10/12 =
*Bonus point if in simplest form
11 x 10 = 110
12 x 12 = 144
110/144 = 55/72
7/12 divided by 3/6 =
*Bonus point if converted into a mixed number
*Bonus point if in simplest form
7/12 x 6/3 = 42/36 = 1 6/36 = 1 1/6
Divide
2/6 divided by 1/2 =
Multiply by the reciprocal
2/6 divided by 1/2 = 2/6 x 2/1 = 4/6 = 2/3