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a) x= \(\frac{-5}{12}\)
b) x = \(\frac{2}{5}\)
c) x =\(\frac{-87}{140}\)
d) x = \(\frac{109}{140}\)
e) x = \(\frac{13}{63}\)
Bài 2:
a, \(\dfrac{5}{23}\) \(\times\) \(\dfrac{17}{26}\) + \(\dfrac{5}{23}\) \(\times\) \(\dfrac{9}{26}\)
= \(\dfrac{5}{23}\) \(\times\) ( \(\dfrac{17}{26}\) + \(\dfrac{9}{26}\))
= \(\dfrac{5}{23}\) \(\times\) \(\dfrac{26}{26}\)
= \(\dfrac{5}{23}\)
b, \(\dfrac{3}{4}\) \(\times\) \(\dfrac{7}{9}\) + \(\dfrac{7}{4}\) \(\times\) \(\dfrac{3}{9}\)
= \(\dfrac{7}{12}\) + \(\dfrac{7}{12}\)
= \(\dfrac{14}{12}\)
= \(\dfrac{7}{6}\)
x - 5 / 6 = 12 / 7
x = 12 / 7 + 5 / 6
x = 107 / 42
x + 4 / 5 = 8 / 3
x = 8 / 3 - 4 / 5
x = 28 / 15
x * 3 / 9 = 11 / 7 - 3 / 4
x * 3 / 9 = 23 / 28
x = 23 / 28 : 3 / 9
x = 69 / 28
5 / 9 : x = 1 / 3 + 2 / 5
5 / 9 : x = 11 / 15
x = 5 / 9 : 11 / 15
x = 25 / 33
\(1\frac{3}{4}-x=\frac{3}{8}\)
x = 11 / 8
15 , 21 - x = 5 , 6 + 1 , 2
15 , 21 - x = 6 , 8
x = 15 , 21 - 6 , 8
x = 8 , 41
C1 : ( 6 , 75 + 3 , 25 ) * 42
= 10 * 42
= 420
C 2 : ( 6 , 75 + 3 , 25 ) * 42
= 6,75 * 42 + 3,25 * 42
= 283 , 5 + 136 , 5
= 4200
C 1 : ( 9 , 6 - 4 , 2 ) * 3 , 6
= 5 , 4 * 3 , 6
= 19 , 44
C 2 : ( 9 , 6 - 4 , 2 ) * 3 , 6
= 9 , 6 * 3 , 6 - 4 , 2 * 3 , 6
= 34 , 56 - 15 , 12
= 19 , 44
b1:
a,\(\frac{3}{8}:\frac{5}{4}\)=\(\frac{3}{8}.\frac{4}{5}=\frac{12}{45}=\frac{4}{15}\)
b,\(\frac{4}{7}:\frac{2}{13}=\frac{4}{7}.\frac{13}{2}=\frac{26}{7}\)
b2:
a,25:0,1=250 25x10=250 42:0,01=4200 42x100=4200 72:0,1=720 83:0,01=8300
b,13:0,25=52 13x4=52 42:0,5=84 42x2=84 75:0,5=150 125:0,25=500
a) \(x:\frac{5}{13}+\frac{2}{26}=1\)
\(x:\frac{5}{13}=1-\frac{2}{26}\)
\(x:\frac{5}{13}=\frac{12}{13}\)
\(x=\frac{12}{13}\times\frac{5}{13}\)
\(x=\frac{60}{169}\)
b) \(x\times\frac{3}{5}=\frac{7}{8}\)
\(x=\frac{7}{8}:\frac{3}{5}\)
\(x=\frac{35}{24}\)
c) \(x=\frac{3}{7}+\frac{4}{21}+\frac{5}{42}\)
\(x=\frac{3\times6}{7\times6}+\frac{4\times2}{21\times2}+\frac{5}{42}\)
\(x=\frac{18}{42}+\frac{8}{42}+\frac{5}{42}=\frac{31}{42}\)
\(\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{2}{7}:\frac{3}{5}+\frac{10}{9}\)
\(\Rightarrow\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{2}{7}.\frac{5}{3}+\frac{10}{9}\)
\(\Rightarrow\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{10}{21}+\frac{10}{9}\)
\(\Rightarrow\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{100}{63}\)
\(\Rightarrow\frac{2}{3}:\frac{x}{5}=\frac{100}{63}-\frac{5}{7}\)
\(\Rightarrow\frac{2}{3}:\frac{x}{5}=\frac{55}{63}\)
\(\Rightarrow\frac{x}{5}=\frac{2}{3}:\frac{55}{63}\)
\(\Rightarrow\frac{x}{5}=\frac{2}{3}.\frac{63}{55}\)
\(\Rightarrow\frac{x}{5}=\frac{42}{55}\)
\(\Rightarrow x=\frac{42.5}{55}=\frac{42}{11}\)
Nên ta chọn đáp án D là đáp án đúng!
( trong bài có dấu . tức là dấu dấu nhân bn nhé )
2/3 : x/5 + 5/7 = 2/7 : 3/5 + 10/9
2/3 : x/5 + 5/7 = 10/21 + 10/9
2/3 : x/5 + 5/7 = 100/63
2/3 : x/5 = 100/63 - 5/7
2/3 : x/5 = 55/63
2/3 . 5/x= 55/63
=) 5/x = 55/63 : 2/3
=) 5/x = 55/42
ta có : a/b = c/d =) a.d=b.c
(=) 55.x = 5.42
55.x = 210
=) x = 210 : 55 = 42/11
vậy đáp án đúng là D
chúc bn học tốt