Question

Va rog o rezolvare. Multumesc mult!

Answer 1

Ce stim:
a÷b · 2·(3÷4) = x
x - 1·(1÷2) = 15÷16
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Rezolvam:
x = 15÷16 + 3÷2 = (15 + 24)÷16 = 39÷16
a÷b · 2·(3÷4) = a÷b · 11÷4 = 39÷16 ⇔ a÷b = 39÷16 · 4÷11 = 39÷44
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Deci:
a÷b = 39÷44 ⇒ 0.88(64) = (8863 - 88)÷9900 ⇒ 8775÷9900
Simplificam:
8775÷9900 = 1755÷1980 = 351÷396 = 117÷132 = 39÷44
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Perechi (a, b): (43875, 49500); (8775, 9900); (1755, 1980); (351, 396); (117, 132); (39, 44).