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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=55/63
x/5= 2/3:55/63
x/5= 42/55
x=42/55 *5
x=42/11
* là nhân đó
\(A=\frac{55}{11.16}+\frac{55}{16.21}+\frac{55}{21.26}+\frac{55}{26.31}+\frac{55}{31.36}+\frac{55}{36.41}\)
\(A=\frac{55}{5}\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+...+\frac{1}{36}-\frac{1}{41}\right)\)
\(A=11\left(\frac{1}{11}-\frac{1}{41}\right)\)
\(A=11.\frac{30}{451}\)
\(A=\frac{30}{41}\)
Ta có :
\(=5\left(\frac{5}{11.16}+\frac{5}{16.21}+\frac{5}{21.26}+\frac{5}{26.31}+\frac{5}{31.36}+\frac{5}{36.41}\right)\)
\(=5\left(\frac{1}{11}-\frac{1}{16}+\frac{1}{16}-\frac{1}{21}+.....+\frac{1}{36}-\frac{1}{41}\right)\)
\(=5\left(\frac{1}{11}-\frac{1}{41}\right)\)
\(=5\left(\frac{30}{451}\right)=\frac{150}{451}\)
Bài 1: a,\(\frac{5}{6}+\frac{7}{8}=\frac{5\times4}{6\times4}+\frac{7\times3}{8\times3}=\frac{20+21}{24}=\frac{41}{24}\)
b,\(\frac{5}{8}-\frac{2}{5}=\frac{5\times5}{8\times5}-\frac{2\times8}{5\times8}=\frac{25}{40}-\frac{16}{40}=\frac{25-16}{40}=\frac{9}{40}\)
c,\(\frac{9}{10}\times\frac{5}{6}=\frac{9\times5}{10\times6}=\frac{3\times3\times5}{2\times5\times2\times3}=\frac{3}{2\times2}=\frac{3}{4}\)
d,\(\frac{6}{5}:\frac{3}{7}=\frac{6}{5}\times\frac{7}{3}=\frac{6\times7}{5\times3}=\frac{2\times3\times7}{5\times3}=\frac{2\times7}{5}=\frac{14}{5}\)
Bài 2:\(\frac{7}{2}=\frac{7\times5}{2\times5}=\frac{35}{10}\)
\(\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{2}{7}:\frac{3}{5}+\frac{10}{9}\)
\(\Rightarrow\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{2}{7}.\frac{5}{3}+\frac{10}{9}\)
\(\Rightarrow\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{10}{21}+\frac{10}{9}\)
\(\Rightarrow\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{100}{63}\)
\(\Rightarrow\frac{2}{3}:\frac{x}{5}=\frac{100}{63}-\frac{5}{7}\)
\(\Rightarrow\frac{2}{3}:\frac{x}{5}=\frac{55}{63}\)
\(\Rightarrow\frac{x}{5}=\frac{2}{3}:\frac{55}{63}\)
\(\Rightarrow\frac{x}{5}=\frac{2}{3}.\frac{63}{55}\)
\(\Rightarrow\frac{x}{5}=\frac{42}{55}\)
\(\Rightarrow x=\frac{42.5}{55}=\frac{42}{11}\)
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
tìm x
2/3 :x/5 +5/7 =2/7 :3/5 +10/9