Simplify fractions

[Wangyou Zhang]

I write a workflow for converting a given decimal to a simplified fraction as well as simplifying a given fraction.

It saves me a lot of time and I hope it is useful for you too.

 

Download
You can download the workflow file from my GitHub.

Examples

• frac .11 ==>  .11 = 11 / 100
• frac 4/6 ==>  4/6 = 2 / 3
• frac -1.4/2.2 ==>  -1.4/2.2 = -7 / 11
• frac 1.2/0 ==>  Error: divided by zero.
• frac b/3 ==>  Error: Invalid input format

 

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Update

7 additional math tools are added and the new workflow is renamed to MathTools. 

Quote

@CJK @Thomas_U Thank you for your feedback and suggestions.

1) Simplify fractions

Examples:

• frac .11 ==>  .11 = 11 / 100
• frac 4/6 ==>  4/6 = 2 / 3
• frac -1.4/2.2 ==>  -1.4/2.2 = -7 / 11

2) Greatest common divisor

Examples:

3) Least common multiple

Examples:

4) Simplify surds

Examples:

• sqrt .0144 ==>  √(.0144) = 3/25 = 0.12
• sqrt 4 8/81 ==>  ³√(8/81) = (2/3) ³√(1/3)

Note:

Negative numbers are not supported.

5) Log functions

Examples:

• log 5 ==>  log₁₀(5) = 0.698970004336
• log2 1.0001 ==>  log₂(1.0001) = 0.000144262291095
• ln e ==>  ln(e) = 1.0

Note:

e=2.718281828... can be used only in some simple cases, and in most cases it is used as the scientific notation.

6) Prime factorization

Examples:

• factor 100 ==>  factor(100) = [1, 2, 2, 5, 5]
• factor 31 ==>  factor(31) = [1, 31]

Note:

The maximum value of input integer is limited in case of memory overflow.

7) Permutations and Combinations

Examples:

• C( 4 2 ==>  C(4, 2) = 6 
• c( 1000 3 ==>  C(1000, 3) = 166167000 
• P( 4 2 ==>  P(4, 2) = 12
• p( 1000 3 ==>  P(1000, 3) = 997002000 

Note:

The maximum value of m is limited for both permutations and combinations.

Edited November 21, 2018 by Wangyou Zhang
Update

[CJK]

Nice idea and workflow.  You could maybe think about expanding its capabilities to become a more general maths tool.  From simplifying fractions, it's not a big leap to incorporate GCD and LCM.  And then, maybe, handling/simplifying surds, expressing compound fractions, obtaining the integer or fractional portions of a number, and coping with modular arithmetic.

 

Just thinking out loud.  Thanks for the sharing this.

[Thomas_U]

What a little jewel! Thank you so much!

 

Would it be possible to simplify german comma instead of dot/period?

 

 

[Wangyou Zhang]

15 hours ago, CJK said:

Nice idea and workflow.  You could maybe think about expanding its capabilities to become a more general maths tool.  From simplifying fractions, it's not a big leap to incorporate GCD and LCM.  And then, maybe, handling/simplifying surds, expressing compound fractions, obtaining the integer or fractional portions of a number, and coping with modular arithmetic.

 

Just thinking out loud.  Thanks for the sharing this.

 

@CJK Thank you for the suggestions! I will consider adding these features later :)

[Wangyou Zhang]

13 hours ago, Thomas_U said:

What a little jewel! Thank you so much!

 

Would it be possible to simplify german comma instead of dot/period?

 

 

 

Hi, I added support for German comma as a decimal point just now. You can try the updated workflow here.

Edited November 20, 2018 by Wangyou Zhang

[Thomas_U]

Thanks - works perfect!