Bài 1 : Tìm x biết
a/ $\frac{4}{7}$ . x - $\frac{2}{3}$ = $\frac{1}{5}$
$\frac{4}{7}$ . x = $\frac{1}{5}$ + $\frac{2}{3}$
$\frac{4}{7}$ . x = $\frac{13}{15}$
x = $\frac{13}{15}$ : $\frac{4}{7}$
x = $\frac{91}{60}$
b/ $\frac{2}{9}$ - $\frac{7}{8}$ . x = $\frac{1}{3}$
$\frac{7}{8}$ . x = $\frac{1}{3}$ + $\frac{2}{9}$
$\frac{7}{8}$ . x = $\frac{5}{9}$
x = $\frac{5}{9}$ : $\frac{7}{8}$
x = $\frac{40}{63}$
c/ $\frac{3}{4}$x + $\frac{1}{2}$ = $\frac{-3}{5}$
$\frac{3}{4}$x = $\frac{-3}{5}$ - $\frac{1}{2}$
$\frac{3}{4}$x = $\frac{-11}{10}$
x = $\frac{-11}{10}$ : $\frac{3}{4}$
x = $\frac{-22}{15}$
d/ (2,8x -32) : $\frac{2}{3}$ = -90
2,8x - 32 = -90 . $\frac{2}{3}$
2,8x - 32 = -60
2,8x = -60 + 32
2,8x = -28
x = -28 : 2,8
x = -10
e/ $\frac{2}{3}$ - (25%x - $\frac{1}{4}$) = $\frac{3}{2}$ - $\frac{1}{4}$
$\frac{2}{3}$ - (25%x - $\frac{1}{4}$) = $\frac{5}{4}$
25%x - $\frac{1}{4}$ = $\frac{2}{3}$ - $\frac{5}{4}$
25%x - $\frac{1}{4}$ = $\frac{-7}{12}$
25%x = $\frac{-7}{12}$ + $\frac{1}{4}$
25%x = $\frac{-1}{3}$
x = $\frac{-1}{3}$ : 25%
x = $\frac{-4}{3}$
Bài 2 :
a/ $\frac{-13}{28}$ . $\frac{5}{11}$ + $\frac{13}{28}$ . $\frac{6}{11}$
= $\frac{13}{28}$ . ($\frac{-5}{11}$ + $\frac{6}{11}$)
= $\frac{13}{28}$ . $\frac{1}{11}$
= $\frac{13}{308}$
b/$\frac{5}{7}$ . $\frac{5}{11}$ + $\frac{5}{7}$ . $\frac{2}{11}$ - $\frac{5}{7}$ . $\frac{14}{11}$
= $\frac{5}{7}$ . ($\frac{5}{11}$ + $\frac{2}{11}$ - $\frac{14}{11}$)
= $\frac{5}{7}$ . $\frac{-7}{11}$
= $\frac{-5}{11}$
c/ $\frac{6}{7}$ + $\frac{1}{7}$ . $\frac{2}{7}$ + $\frac{1}{7}$ . $\frac{5}{7}$
= $\frac{6}{7}$ + $\frac{1}{7}$ . ($\frac{2}{7}$ + $\frac{5}{7}$)
= $\frac{6}{7}$ + $\frac{1}{7}$ . 1
= $\frac{6}{7}$ + $\frac{1}{7}$
= 1
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