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MacoviciucGeanina
a fost răspuns

Calculati a supra c stiind ca a supra b egal 9 supra 5,si b supra c egal 18 supra 25.​

Răspuns :

Răspuns:

Explicație pas cu pas:

a/b = 9/5,  a = 9b/5

b/c = 18/25, 1/c = 18/25b

a*1/c = 9b/5*18/25b

a/c = 9*18/5*25 = 162/125

 

[tex]\displaystyle\bf\\Se~da:\\\\\frac{a}{b}=\frac{9}{5}~~~si~~~\frac{b}{c}=\frac{18}{25}\\\\Se~cere:\\\\\frac{a}{c}=?\\\\Rezolvare:\\\\\frac{a}{b}\times\frac{b}{c}=\frac{a\times b}{b\times c}=\frac{a}{c}~~~~~(Am~simplificat~cu~b)\\\\\\\implies~~\frac{a}{c}=\frac{a}{b}\times\frac{b}{c}=\frac{9}{5}\times\frac{18}{25}=\frac{9\times18}{5\times25}=\boxed{\bf\frac{162}{125}}[/tex]

 

 

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