Question

27:[26:(6×5-7×a):9]=1

Answer 1

$27:[26:(6\times5-7\times a):9]=1 \\ 26:(6\times5-7\times a):9 = 27:1\\ 26:(6\times5-7\times a):9= 27 \\26:(6\times5-7\times a) = 9\times 27 \\ 26:(6\times5-7\times a) = 243 \\ 6\times5-7\times a = 26:243 \\ 30 - 7\times a = 26:243 \\ 30-26:243 = 7\times a \\ a = (30-26:243):7 \\ \\ Trebuie neaparat scris ca fractie, nu poate fi lasat asa. \\ \\ a= \dfrac{30-\dfrac{26}{243}}{7} = \dfrac{243\cdot 30-26}{243\cdot 7} = \dfrac{7264}{1701}\Rightarrow a = \dfrac{7264}{1701}$

$a = 4,(270429159318048206937095825984714873603762492651381540)$