646. Теңдеуді шешіңдер: 1) $\frac{11}{15}x=77$; 2) $\frac{23}{28}x=92$; 3) $\frac{15}{64}x=25$; 4) $5\frac{1}{3}x=8\frac{8}{9}$; 5) $3\frac{2}{5}y=6\frac{4}{5}$; 6) $9\frac{1}{2}y=14\frac{1}{4}$.

Question

Вопрос: $Фото задания: 646. Теңдеуді шешіңдер: 1) $\frac{11}{15}x=77$; 2) $\frac{23}{28}x=92$; 3) $\frac{15}{64}x=25$; 4)…$ Фото задания

Accepted Answer

$x=77:\frac{11}{15}=77\cdot\frac{15}{11}=105$.
$x=92:\frac{23}{28}=92\cdot\frac{28}{23}=112$.
$x=25:\frac{15}{64}=25\cdot\frac{64}{15}=\frac{320}{3}=106\frac{2}{3}$.
$5\frac{1}{3}=\frac{16}{3}$, $8\frac{8}{9}=\frac{80}{9}$. Сондықтан $x=\frac{80}{9}:\frac{16}{3}=\frac{80}{9}\cdot\frac{3}{16}=\frac{5}{3}=1\frac{2}{3}$.
$3\frac{2}{5}=\frac{17}{5}$, $6\frac{4}{5}=\frac{34}{5}$. Сондықтан $y=\frac{34}{5}:\frac{17}{5}=2$.
$9\frac{1}{2}=\frac{19}{2}$, $14\frac{1}{4}=\frac{57}{4}$. Сондықтан $y=\frac{57}{4}:\frac{19}{2}=\frac{3}{2}=1\frac{1}{2}$.

Жауап: 1) $x=105$; 2) $x=112$; 3) $x=106\frac{2}{3}$; 4) $x=1\frac{2}{3}$; 5) $y=2$; 6) $y=1\frac{1}{2}$.

646. Теңдеуді шешіңдер: 1) \(\frac{11}{15}x=77\); 2) \(\frac{23}{28}x=92\); 3) \(\frac{15}{64}x=25\); 4) \(5\frac{1}{3}x=8\frac{8}{9}\); 5) \(3\frac{2}{5}y=6\frac{4}{5}\); 6) \(9\frac{1}{2}y=14\frac{1}{4}\).