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= 45.(15+1)-17/45.15+28
= 45.15+45-17/45.15+28
= 45.15+28/45.15+28
= 1
Tk mk nha
= 45.(15+1)-17/45.15+28
= 45.15+45-17/45.15+28
= 45.15+28/45.15+28
= 1
a)\(\frac{16.17-5}{16.16+11}=\frac{16.17-16+11}{16.16+11}\)\(=\frac{16.\left(17-1\right)+11}{16.16+11}=\frac{16.16+11}{16.16+11}=1\)
b) \(\frac{45.16-17}{28+45.15}=\frac{45.\left(15+1\right)-17}{28+45.15}\)\(=\frac{45.15+45-17}{28+45.15}=\frac{45.15+28}{28+45.15}=1\)
c) \(\frac{7256.4375-725}{3650+4375.7255}=\frac{\left(7255+1\right).4375-725}{3650+4375.7255}\)\(=\frac{7255.4375+4375-725}{3650+4375.7255}\)\(=\frac{7255.4375+3650}{3650+4375.7255}=1\)
Câu C nhớ sửa 725 thành 7255 nha !
Bài giải
\(a,\text{ }\frac{16\cdot17-5}{16\cdot16+11}=\frac{16\cdot16+16-5}{16\cdot16+11}=\frac{16\cdot16+11}{16\cdot16+11}=1\)
\(b,\text{ }\frac{45\cdot16-17}{28+45\cdot15}=\frac{45\cdot15+45-17}{45\cdot15+28}=\frac{45\cdot15+28}{45\cdot15+28}=1\)
\(c,\text{ }\frac{7256\cdot4375-725}{3650+4375\cdot7255}=\frac{4375\cdot7255+4375-725}{4375\cdot7255+3650}=\frac{4375\cdot7255+3650}{4375\cdot7255+3650}=1\)
Tính:
\(\frac{45\cdot16-17}{45\cdot15+28}\)
\(=\frac{45\cdot15+45-17}{45\cdot15+28}\)
\(=\frac{45\cdot15+28}{45\cdot15+28}=1.\)
Tìm x:
\(5^x+5^{x+2}=650\)
=>\(5^x+5^x\cdot25=650\)
=>\(5^x\cdot26=650\)
Dễ rồi nhá.
Bài 1 : Ta có : \(\frac{45.16-17}{45.15+28}=\frac{45.16-17}{45.15+45-17}=\frac{45.16-17}{45\left(15+1\right)-17}=\frac{45.16-17}{45.16-17}=1\)
Bài 2 :
Ta có 5x + 5x + 2 = 650
=> 5x(1 + 52) = 650
=> 5x . 26 = 650
=> 5x = 650 : 26
=> 5x = 25
=> 5x = 52
=> x = 2
ta có: \(1-\frac{17}{20}=\frac{3}{20};1-\frac{22}{25}=\frac{3}{25}\)
\(\Rightarrow\frac{3}{20}>\frac{3}{25}\Rightarrow1-\frac{17}{20}>1-\frac{22}{25}\)
\(\Rightarrow\frac{17}{20}< \frac{22}{25}\)
Đăt S=1/15+1/35+1/63+1/99+...+1/2915+1/3135
=1/3.5+1/5.7+1/7.9+1/9.11+...+1/53.55+1/55.57
=1/2(2/3.5+2/5.7+2/7.9+...+2/53.55+2/55.57)
=1/2(1/3-1/5+1/5-1/7+1/7-1/9+...+1/53-1/55+1/55-1/57)
=1/2(1/3-1/57)
=1/2(19/57-1/57)
=1/2.18/57
=3/19
Vậy 1/15+1/35+1/63+1/99+...+1/2915+1/3135=3/19
Mik viết thế này mong bạn thông cảm nha!!
chúc bạn hok tốt!!
Bạn nhớ k cho mik một cái đúng nha!!
Đặt \(A=\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+...+\frac{1}{2915}+\frac{1}{3135}\)
\(\Leftrightarrow A=\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7\cdot9}+\frac{1}{9\cdot11}+....+\frac{1}{53\cdot55}+\frac{1}{55\cdot57}\)
\(\Leftrightarrow2A=\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+\frac{2}{9\cdot11}+...+\frac{2}{53\cdot55}+\frac{2}{55\cdot57}\)
\(\Leftrightarrow2A=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-....+\frac{1}{53}-\frac{1}{55}+\frac{1}{55}-\frac{1}{57}\)
\(\Leftrightarrow2A=\frac{1}{3}-\frac{1}{57}=\frac{6}{19}\)
\(\Leftrightarrow A=\frac{6}{19}:2=\frac{3}{19}\)
Tính bằng cách hợp lí nhất
a,57.5.\(\frac{2}{3}\).25.\(\frac{4}{19}\)
b, 3,54.73+2,3.25.3,54.27+1,7.25
\(\frac{21}{36}x\frac{39}{14}x\frac{54}{13}=\frac{21x39x54}{36x14x13}=\frac{3x7x13x3x9x6}{6x6x7x2x13}=\frac{3x9}{2x2}=\frac{27}{4}\)
\(\frac{21}{36}x\frac{39}{14}x\frac{54}{13}=\frac{13}{8}x\frac{54}{13}=\frac{54}{8}=\frac{27}{4}\)
Vì bớt cả trên lẫn dưới đi 13
\(\frac{3}{4}\cdot\frac{15}{17}+\frac{3}{4}\cdot\frac{2}{17}+\frac{1}{17}\)
\(=\frac{3}{4}\cdot\left(\frac{15}{17}+\frac{2}{17}\right)+\frac{1}{17}\)
\(=\frac{3}{4}\cdot1+\frac{1}{17}\)
\(=\frac{5}{8}\)
\(\frac{3}{4}.\frac{15}{17}+\frac{3}{4}.\frac{2}{17}+\frac{1}{17}\)
=\(\frac{3}{4}.\left(\frac{15}{17}+\frac{2}{17}\right)+\frac{1}{17}\)
=\(\frac{3}{4}.1+\frac{1}{17}\)
=\(\frac{51}{68}+\frac{4}{68}=\frac{55}{68}\)
\(\frac{9}{5}:\frac{17}{15}+\frac{8}{5}:\frac{17}{15}\)
\(=\frac{9}{5}\times\frac{15}{17}+\frac{8}{5}\times\frac{15}{17}\)
\(=\frac{15}{17}\times\left(\frac{9}{5}+\frac{8}{5}\right)\)
\(=\frac{15}{17}\times\frac{17}{5}\)
\(=3\)
h minh nhen
\(=\frac{45.15+45-17}{45.15+58}=\frac{45.15+28}{45.15+58}=???\)
ủa đề sai à ta?
\(\frac{73.15}{103.15}\)