Standard Algorithm
Fractions: Thirds and Ninths
Addition #1
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
2
4
copyright © 2012 Creative Smarts Inc.
1
2
5
3
1/3s
6.
+
1
5
1/3s
7.
2
1
1
1
1/3s
4.
+
1
2
2
4
1/3s
3.
1/9s
1/3s
5.
2
1
4
1
1/3s
2.
1/9s
+
2
2
1/3s
8.
+
5
1
1/9s
2
2
1/9s
1
2
1/9s
2
1
1/9s
2
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #2
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
5
3
copyright © 2012 Creative Smarts Inc.
2
2
2
4
1/3s
6.
+
6
1
1/3s
7.
1
2
1
2
1/3s
4.
+
2
2
3
5
1/3s
3.
1/9s
1/3s
5.
2
1
1
4
1/3s
2.
1/9s
+
2
6
1/3s
8.
+
1
5
1/9s
2
1
1/9s
1
2
1/9s
2
2
1/9s
2
1
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #3
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
5
2
copyright © 2012 Creative Smarts Inc.
2
2
3
1
1/3s
6.
+
1
2
1/3s
7.
2
1
1
5
1/3s
4.
+
2
2
7
1
1/3s
3.
1/9s
1/3s
5.
1
2
4
2
1/3s
2.
1/9s
+
6
1
1/3s
8.
+
3
3
1/9s
2
1
1/9s
2
2
1/9s
2
1
1/9s
2
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #4
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
2
2
copyright © 2012 Creative Smarts Inc.
1
2
1
5
1/3s
6.
+
3
1
1/3s
7.
2
2
7
1
1/3s
4.
+
1
2
5
2
1/3s
3.
1/9s
1/3s
5.
2
1
2
4
1/3s
2.
1/9s
+
1
2
1/3s
8.
+
3
4
1/9s
2
2
1/9s
1
2
1/9s
2
2
1/9s
1
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #5
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
5
3
copyright © 2012 Creative Smarts Inc.
1
2
6
1
1/3s
6.
+
1
3
1/3s
7.
2
2
2
4
1/3s
4.
+
1
2
3
3
1/3s
3.
1/9s
1/3s
5.
2
1
7
1
1/3s
2.
1/9s
+
5
1
1/3s
8.
+
2
6
1/9s
2
2
1/9s
2
1
1/9s
2
2
1/9s
2
1
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #6
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
7
1
copyright © 2012 Creative Smarts Inc.
2
1
3
4
1/3s
6.
+
5
3
1/3s
7.
1
2
5
2
1/3s
4.
+
2
1
2
3
1/3s
3.
1/9s
1/3s
5.
2
2
3
2
1/3s
2.
1/9s
+
1
4
1/3s
8.
+
2
1
1/9s
1
2
1/9s
2
2
1/9s
2
1
1/9s
1
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #7
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
1
3
copyright © 2012 Creative Smarts Inc.
2
2
2
1
1/3s
6.
+
4
4
1/3s
7.
1
2
5
2
1/3s
4.
+
2
2
6
1
1/3s
3.
1/9s
1/3s
5.
2
1
1
7
1/3s
2.
1/9s
+
1
7
1/3s
8.
+
2
2
1/9s
1
2
1/9s
2
1
1/9s
1
2
1/9s
2
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #8
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
4
1
copyright © 2012 Creative Smarts Inc.
2
1
2
4
1/3s
6.
+
6
1
1/3s
7.
1
2
2
4
1/3s
4.
+
2
2
6
2
1/3s
3.
1/9s
1/3s
5.
1
2
1
4
1/3s
2.
1/9s
+
5
2
1/3s
8.
+
4
1
1/9s
2
2
1/9s
2
1
1/9s
1
2
1/9s
2
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #9
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
4
3
copyright © 2012 Creative Smarts Inc.
1
2
2
2
1/3s
6.
+
3
1
1/3s
7.
2
2
1
2
1/3s
4.
+
2
1
2
3
1/3s
3.
1/9s
1/3s
5.
1
2
1
4
1/3s
2.
1/9s
+
1
3
1/3s
8.
+
4
1
1/9s
2
1
1/9s
2
2
1/9s
1
2
1/9s
2
1
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #10
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
4
4
copyright © 2012 Creative Smarts Inc.
2
2
1
5
1/3s
6.
+
6
1
1/3s
7.
2
1
1
7
1/3s
4.
+
1
2
2
6
1/3s
3.
1/9s
1/3s
5.
2
2
1
4
1/3s
2.
1/9s
+
5
2
1/3s
8.
+
4
3
1/9s
2
1
1/9s
2
2
1/9s
1
2
1/9s
2
1
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #11
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
2
2
copyright © 2012 Creative Smarts Inc.
2
2
4
1
1/3s
6.
+
1
4
1/3s
7.
2
1
5
1
1/3s
4.
+
2
2
4
4
1/3s
3.
1/9s
1/3s
5.
1
2
1
7
1/3s
2.
1/9s
+
2
3
1/3s
8.
+
4
2
1/9s
1
2
1/9s
2
2
1/9s
1
2
1/9s
2
1
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #12
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
1
2
copyright © 2012 Creative Smarts Inc.
2
2
3
5
1/3s
6.
+
5
3
1/3s
7.
2
1
2
6
1/3s
4.
+
2
2
4
2
1/3s
3.
1/9s
1/3s
5.
1
2
2
4
1/3s
2.
1/9s
+
3
5
1/3s
8.
+
2
2
1/9s
1
2
1/9s
2
1
1/9s
1
2
1/9s
2
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #13
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
3
3
copyright © 2012 Creative Smarts Inc.
2
2
1
6
1/3s
6.
+
2
1
1/3s
7.
1
2
6
1
1/3s
4.
+
2
2
4
4
1/3s
3.
1/9s
1/3s
5.
1
2
3
5
1/3s
2.
1/9s
+
1
3
1/3s
8.
+
3
2
1/9s
1
2
1/9s
2
2
1/9s
2
1
1/9s
2
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #14
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
1
6
copyright © 2012 Creative Smarts Inc.
2
1
4
1
1/3s
6.
+
3
2
1/3s
7.
2
2
4
1
1/3s
4.
+
1
2
3
5
1/3s
3.
1/9s
1/3s
5.
2
1
1
3
1/3s
2.
1/9s
+
2
1
1/3s
8.
+
1
3
1/9s
1
2
1/9s
2
2
1/9s
2
1
1/9s
2
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #15
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
1
6
copyright © 2012 Creative Smarts Inc.
2
2
2
4
1/3s
6.
+
3
5
1/3s
7.
1
2
2
3
1/3s
4.
+
2
2
1
2
1/3s
3.
1/9s
1/3s
5.
2
1
5
1
1/3s
2.
1/9s
+
2
2
1/3s
8.
+
3
4
1/9s
2
1
1/9s
1
2
1/9s
2
1
1/9s
1
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #16
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
4
3
copyright © 2012 Creative Smarts Inc.
2
2
1
2
1/3s
6.
+
4
3
1/3s
7.
2
1
3
1
1/3s
4.
+
2
2
6
2
1/3s
3.
1/9s
1/3s
5.
2
1
2
6
1/3s
2.
1/9s
+
1
5
1/3s
8.
+
6
1
1/9s
2
1
1/9s
1
2
1/9s
2
1
1/9s
1
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #17
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
2
6
copyright © 2012 Creative Smarts Inc.
1
2
4
3
1/3s
6.
+
5
1
1/3s
7.
2
2
3
2
1/3s
4.
+
2
1
4
1
1/3s
3.
1/9s
1/3s
5.
2
2
3
3
1/3s
2.
1/9s
+
3
5
1/3s
8.
+
2
3
1/9s
2
2
1/9s
1
2
1/9s
2
2
1/9s
2
1
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #18
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
4
2
copyright © 2012 Creative Smarts Inc.
2
1
1
1
1/3s
6.
+
3
5
1/3s
7.
2
2
3
3
1/3s
4.
+
2
1
5
2
1/3s
3.
1/9s
1/3s
5.
2
2
4
1
1/3s
2.
1/9s
+
6
2
1/3s
8.
+
2
5
1/9s
2
2
1/9s
2
1
1/9s
1
2
1/9s
2
1
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #19
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
5
1
copyright © 2012 Creative Smarts Inc.
1
2
4
3
1/3s
6.
+
2
2
1/3s
7.
2
2
4
4
1/3s
4.
+
2
1
2
1
1/3s
3.
1/9s
1/3s
5.
1
2
3
3
1/3s
2.
1/9s
+
1
4
1/3s
8.
+
2
1
1/9s
2
2
1/9s
1
2
1/9s
2
1
1/9s
1
2
www.GregTangMath.com
Standard Algorithm
Fractions: Thirds and Ninths
Addition #20
Regroup at 3
1/3s
1.
+
+
+
+
1/9s
1/9s
1
3
copyright © 2012 Creative Smarts Inc.
1
2
2
5
1/3s
6.
+
5
3
1/3s
7.
2
2
4
2
1/3s
4.
+
1
2
6
1
1/3s
3.
1/9s
1/3s
5.
2
2
1
2
1/3s
2.
1/9s
+
2
6
1/3s
8.
+
1
5
1/9s
2
1
1/9s
2
2
1/9s
1
2
1/9s
2
2
www.GregTangMath.com