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determinati fractia a pe b stiind ca este egala cu fractia 7pe 5 si ca a × b=1260

Răspuns :

[tex] \frac{a}{b} = \frac{7}{5};a=7k;b=5k. \\ a*b=7k*5k=35 k^{2}=1260 \\ k^{2}= \frac{1260}{35}=36 \\ k=6;a=42;b=30 [/tex]
a/b=7/5
a*b=1260=>a=1260/b
(1260/b)/b=7/5
b^2=900
b=30 in caz nostru
a*b=1260
a*30=1260
a=1260:30
a=42