Question

Se considera fractia 17 pe 24.Determinati:
a)fractia echivalenta cu fractia data,care are suma dintre numarator si numitor 123
b)fractia zecimala corenspunzatoare fractiei date
c)suma primelor 15 zecimale ale fractiei de la punctul b)

Answer 1

a)51/72 (51+72=123)
b)0,708(3)
c)7+0+8+12x3=51

Answer 2

 [tex]a).\;\;\frac{17}{24}=\frac{x}{y}\;\;\rightarrow\;\;\frac{x}{17}=\frac{y}{24}=\frac{123}{41}=3\;\\ \Rightarrow\;\;x-17\cdot3=51\;\;;\;\;y=24\cdot3=72\;;\;\rightarrow\;\;17/24\equiv\fbox{51/72}\\ [/tex]
[tex]b).\;\;17/24=0,708(3)\;\;;\\ c).0,708(3) \Leftrightarrow\;S_{15\,zecimale}=7+0+8+12\cdot3=15+36=51\;;\\[/tex]