Răspuns :
[tex] \frac{a}{b} = \frac{10}{9} [/tex]
[tex]9a = 10b[/tex]
[tex]a = \frac{5}{6} [/tex]
[tex]9 \times \frac{5}{6} = 10b[/tex]
[tex] \frac{9 \times 5}{6} = 10b[/tex]
[tex] \frac{45}{6} = 10b[/tex]
[tex] \frac{15}{2} = 10b[/tex]
[tex]2 \times 10b = 15[/tex]
[tex]20b = 15[/tex]
[tex]b = \frac{15}{20} [/tex]
[tex]b = \frac{3}{4} [/tex]
[tex]9a = 10b[/tex]
[tex]a = \frac{5}{6} [/tex]
[tex]9 \times \frac{5}{6} = 10b[/tex]
[tex] \frac{9 \times 5}{6} = 10b[/tex]
[tex] \frac{45}{6} = 10b[/tex]
[tex] \frac{15}{2} = 10b[/tex]
[tex]2 \times 10b = 15[/tex]
[tex]20b = 15[/tex]
[tex]b = \frac{15}{20} [/tex]
[tex]b = \frac{3}{4} [/tex]
A/B=10/9
A=5/6
5/6:B=10/9
Amplificam cu 9 respectiv 6
45/54:B=60/54
45=60b
B= 45/60
Simplificăm cu 15
B=3/4
Vf:
5/6:3/4=10/9
Amplificam cu 2 și 3
10/12:9/12=10/9
Reducem 12
10/9=10/9
A=5/6
5/6:B=10/9
Amplificam cu 9 respectiv 6
45/54:B=60/54
45=60b
B= 45/60
Simplificăm cu 15
B=3/4
Vf:
5/6:3/4=10/9
Amplificam cu 2 și 3
10/12:9/12=10/9
Reducem 12
10/9=10/9