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Subtracting Unlike Denominators Fractions

Subtracting Unlike Denominators Fractions
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2017-07-22 16:50
Coordinate Geometry
In collections Fractions الكسور
This example demonstrates how to perform subtraction of fractions with unlike denominators using GeoGebra. Core math concepts include fraction subtraction, Least Common Multiple (LCM), Greatest Common Divisor (GCD), and fraction simplification. Key GeoGebra commands and objects used are Random, Vector, LCM, Sequence, GCD, and elements like b, a, d, j, c, showcasing the process of fraction subtraction dynamically. Suitable for middle school mathematics education, helping students grasp the principles and methods of fraction subtraction.

GeoGebra Commands & Parameters

  1. Random(2, 10) → b
  2. Random(1, b) → a
  3. Random(2, 10) → d
  4. Vector((0, 2)) → j
  5. Random(1, (a * d / b)) → c
  6. LCM(b, d) → l
  7. Sequence(Rectangle[20 / b, ((k * 20 / b), 6), ((k * 20 / b), 4)], k, 0, b - 1) → list1
  8. Sequence(Rectangle[20 / d, ((k * 20 / d), 3), ((k * 20 / d), 1)], k, 0, d - 1) → list5
  9. Sequence(Rectangle[20 / b, ((k * 20 / b), 6 - p), ((k * 20 / b), 4 - p)], k, 0, a - 1) → list6
  10. GCD(Nums, Denoms) → pgcd
  11. Sequence(Rectangle[20 / (Denoms / pgcd), ((k * 20 / (Denoms / pgcd)), -3), ((k * 20 / (Denoms / pgcd)), -5)], k, 0, Denoms / pgcd - 1) → list4
  12. Sequence(Rectangle[20 / (Denoms / pgcd), ((k * 20 / (Denoms / pgcd)), -3), ((k * 20 / (Denoms / pgcd)), -5)], k, 0, Nums / pgcd - 1) → list2
  13. Sequence(Rectangle[20 / d, ((k * 20 / d), 1 - (2 * n)), ((k * 20 / d), 3 - (2 * n))], k, 0, c - 1) → list7

AI Drawing Prompt Reference

Create a dynamic illustration showing the subtraction of fractions with unlike denominators, using rectangles to represent numerators and denominators. Initially display the original fractions as rectangles, then adjust their sizes based on the least common multiple, and finally show the subtraction process and simplified result to highlight concepts of fraction subtraction, LCM, and GCD.
The prompt above was compiled from the original drawing commands and is for reference only.