Question

11x-1/6=4/9
dacă se poate.. .

Answer 1

11 x - 1/6 = 4/9
→ aflam cmmmc al numerelor ( 6 si 9) 
6 = 2 × 3
9 = 3²
cmmmc al numerelor ( 6, 9 ) = 2 × 3²= 18
→ aducem fractiile la acelasi numitor 18, amplificand, prima cu 18, a doua fractie cu 3 respectiv cu 2
(18 × 11 x)/18 - ( 3×1) / ( 3×6) = ( 2×4) /( 2×9)
(18 × 11x) / 18 - 3/18 = 8/18  l : 1/18


18 × 11 x - 3 = 8 
18 × 11 x = 8 + 3 
18 × 11 x = 11 l : 11
18 x = 1⇒ x = 1/18

Verific 11 × 1/18 - 1/6 = 11/18 - 3/18 = 8/18 = 4/9