Question

1)simplifica fractiile 30/21;aa/aaaa;ab+ba/22. 2)Determina valorile naturale ale lui x pentru care x/3 <2/3 3)Determina valorile lui x pentru care x/12=1/6 Va multumesc

Answer 1

$1)~\frac{30}{21}=\frac{10}{7}$
$\frac{\bar{aa}}{\bar{aaaa}}=\frac{\bar{aa}}{101\bar{aa}}=\frac{1}{101}$
$\frac{\bar{ab}+\bar{ba}}{22}=\frac{10a+b+10b+a}{22}=\frac{11a+11b}{22}=\frac{11(a+b)}{22}=\frac{a+b}{2}$
$2)~\frac{x}{3}<\frac{2}{3}$
$x<2$
$x\in\{0,1\}$
$3)~\frac{x}{12}=\frac{1}{6}$
$x=12\cdot\frac{1}{6}$
$x=\frac{12}{6}=2$