Question

Simplifica las fracciones siguientes utilizando el método del maximo común divisor
45/81

100/125

162/300

22/144

44/52

175/500

Answer 1

----------------------------------   45/81   -------------------------------------------------------

Descomponemos en factores 45 y 81 
45 = 3^2.5
81 = 3^4
mcd = 3^2 = 9

45/81 : 9/9 = 5/9

------------------------------------   100/125   -------------------------------
100 = 2^2.5^2
125 = 5^3
mcd = 5^2 = 25

100/125 : 25/25 = 4/5

-------------------------------------------   162/300   ---------------------------------------
162 = 2.3^4
300 = 2^2.3.5^2
mcd = 2.3 = 6

162/300 : 6/6 = 27/50

--------------------------------------   22/144   --------------------------------------
22 = 2.11
144 = 2^4.3^2
mcd = 2

22/144 : 2/2 = 11/72

------------------------------------------ 44/52 -----------------------------------
44 = 2^2.11
52 = 2^2.13
mcd = 2^2 = 4

44/52 : 4/4 = 11/13

-------------------------------------   175/500   -----------------------------
175 = 5^2.7
500 = 2^2.5^3
mcd = 5^2 = 25

175/500 : 25/25 = 7/20

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