Question

Rezolva in Q urmatoarea ecuatie:
(x+0,0(5)):0,(3)-0,5=0,(3)=?

Answer 1

Rezolvarea ecuatiei cerute, respectarea formulei pentru numetele cu perioada.

Answer 2

$(x + 0.0(5)) \div 0.(3) - 0.5 = 0.(3)$

$(x + \frac{5}{90} )\div \frac{3}{9} - \frac{5}{10} = \frac{3}{9} \:$

$(x + \frac{1}{18} ) \div \frac{1}{3} - \frac{1}{2} = \frac{1}{3}$

$(x + \frac{1}{18} ) \div \frac{1}{3} = \frac{1}{3} + \frac{1}{2}$

$(x + \frac{1}{18} ) \div \frac{1}{3} = \frac{2}{6} + \frac{3}{6}$

$(x + \frac{1}{18} ) \div \frac{1}{3} = \frac{2 + 3}{6}$

$(x + \frac{1}{18} ) \div \frac{1}{3} = \frac{5}{6}$

$x + \frac{1}{18} = \frac{5}{6} \times \frac{1}{3}$

$x + \frac{1}{18} = \frac{5 \times 1}{6 \times 3}$

$x + \frac{1}{18} = \frac{5}{18}$

$x = \frac{5}{18} - \frac{1}{18}$

$x = \frac{5 - 1}{18}$

$x = \frac{4}{18}$

$x = \frac{2}{9}$