Question

Știind că 2a+3b supra 16a+2b = 2 supra 3 calculați a supra b.

Answer 1

$\frac{2a + 3b}{16a + 2b} = \frac{2}{3}$

$3(2a + 3b) = 2(16a + 2b)$

$6a + 9b = 32a + 4b$

$6a - 32a = 4b - 9b$

$- 26a = - 5b \: | \times ( - 1)$

$26a = 5b \: | \div b$

$\frac{26a}{b} = 5$

$26 \times \frac{a}{b} = 5 \: | \div 26$

$\frac{a}{b} = \frac{5}{26}$