The Fractions, Rational Numbers and Real Numbers

Master computation with fractions, rational numbers and real numbers

The aim of that course is to give you the mastery of the construction and manipulation of the fractions and of the rational numbers they lead to.

Starting with practical Python manipulations and scripts, you will become by the end of that course a master in:

  • Constructing the fractions, and then the rational number as sets of equivalent fractions.
  • Comparing fractions, and then the rational numbers, and ordering the rational numbers set Q
  • Adding, subtracting, multiplying and dividing the fractions, and then the rational numbers,, including doing all these operations in a unique formula.
  • Exponentiating the rational numbers by integers of any signs, provided the rational number is non-zero when the exponent is negative.
  • Exponentiate a product or a quotient, and setting a non-zero rational number to the power a sum or a difference.
  • Comparing the results of additions or subtractions.
  • Comparing the results of multiplications, division, or exponentiations by natural integers.

That course includes 57 high quality video lectures, plus 10 downloadable recapitulative documents, one per section, with all the proofs. It proposes 10 intermediate tests plus a final assessment, with the possibility of having them corrected and, for the final assessment, graded.



Your Instructor


Fabienne Chaplais
Fabienne Chaplais

Fabienne holds the “Agrégation de Mathématiques“
, the French Highest Degree to teach math in Secondary Schools.

After a career of 26 years as a R&D engineer in applied mathematics, she founded Mathedu (Re-engineering Mathematics) with her husband and collaborator François, 
to teach mathematics from a practical point of view, based on Python coding.

She is both an expert in teaching math and a passionated woman and will help you to experiment the joy of increasing your mastery in mathematics.

Course Curriculum


  Introduction
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  Final Assessment: The Decimal Expansion of Rational Numbers
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  Conclusion
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Frequently Asked Questions


When does the course start and finish?
The course starts now and never ends! It is a completely self-paced online course - you decide when you start and when you finish.
How long do I have access to the course?
How does lifetime access sound? After enrolling, you have unlimited access to this course for as long as you like - across any and all devices you own.
What if I am unhappy with the course?
We would never want you to be unhappy! If you are unsatisfied with your purchase, contact us in the first 30 days and we will give you a full refund.

Get started now!