Question

Fiind 5/a=b/12 simplificati fractia a*b/90 transformand o in fractie ireductibila

Answer 1

   
[tex]\displaystyle\\ \frac{5}{a} = \frac{b}{12}\\\\ \text{Produsul mezilor = produsul extremilor}\\\\ a\times b = 5 \times 12\\ a\times b = 60\\\\ \frac{a\times b}{90}= \frac{60}{90}=\frac{6}{9}=\boxed{\bf \frac{2}{3}} [/tex]

Answer 2

5/a=b/12 ⇒a×b=5×12, conform proprietatii fractiilor echivalente.
Deci a×b=60
Atunci fractia a×b/90=60/90
Simplificam cu 10 si apoi cu 3:
60/90=6/9=2/3 , care este ireductibila.