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Bubu2228
a fost răspuns

2/3 / × = 4/15 / 8/25 . Ajutoooooor va rog mult.

Răspuns :

Abc112
[tex] \frac{ \frac{2}{3} }{x} = \frac{ \frac{4}{15} }{ \frac{8}{25} } [/tex]

[tex] \frac{2}{3} \times \frac{1}{x} = \frac{4}{15} \times \frac{25}{8} [/tex]

[tex] \frac{2}{3x} = \frac{1}{3} \times \frac{5}{2} [/tex]

[tex] \frac{2}{3x} = \frac{5}{6} [/tex]

[tex]3x \times 5 = 6 \times 2[/tex]

[tex]15x = 12[/tex]

[tex]x = \frac{12}{15} [/tex]

[tex]x = \frac{4}{5} [/tex]
2/3 : x = 4/15 : 8/25 

2/3 ×  1/x = 4/15 × 25/8  → simplific pe 4 cu 8 = 1/2, dar si pe 25 cu 15 prin 5 = 5/3 

2/3x = 5/6 ⇒  15 x = 12 ⇒ x = 12/15 ⇒ x = 4/5