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\(14:\left(4\frac{1}{2}-2\frac{5}{8}\right)+14.\frac{1}{4}.\frac{2}{3}\)
\(=14:\frac{15}{8}+14.\frac{1}{6}\)
\(=14.\frac{8}{15}+14.\frac{1}{6}\)
\(=14.\left(\frac{8}{15}+\frac{1}{6}\right)\)
\(=14.\frac{7}{10}\)
\(=\frac{98}{10}\)
đúng thì ủng hộ nha
\(14\div\left(4\frac{1}{2}-2\frac{5}{8}\right)+14\times\frac{1}{4}\times\frac{2}{3}=14\div\left(\frac{9}{2}-\frac{21}{8}\right)+14\times\frac{1}{4}\times\frac{2}{3}\)
\(=14\div\frac{15}{8}+14\times\frac{1}{4}\times\frac{2}{3}\)
\(=\frac{112}{15}+\frac{7}{3}\)
\(=\frac{49}{5}\)
CHÚC BẠN HỌC TỐT
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\(a)\frac{2}{3}x-\frac{1}{2}=\frac{5}{12}\)
\(\Rightarrow\frac{2}{3}x=\frac{5}{12}+\frac{1}{2}=\frac{11}{12}\)
\(\Rightarrow x=\frac{11}{12}:\frac{2}{3}=\frac{11}{8}\)
\(b)\left(2\frac{4}{5}x-50\right):\frac{2}{3}=51\)
\(\Rightarrow\frac{14}{5}x-50=51.\frac{2}{3}=34\)
\(\Rightarrow\frac{14}{5}x=34+50=84\)
\(\Rightarrow x=84:\frac{14}{5}=30\)
a) 2/3.x - 1/2 = 5/12
2/3.x = 5/12 + 1/2
2/3.x = 11/12
x = 11/12 : 2/3
x = 11/8
b) \(\left(2\frac{4}{5}.x-50\right):\frac{2}{3}=51\)
\(\frac{14}{5}.x-50=51.\frac{2}{3}\)
\(\frac{14}{5}.x-50=34\)
\(\frac{14}{5}.x=34+50\)
\(\frac{14}{5}.x=84\)
\(x=84:\frac{14}{5}\)
\(x=30\)
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\(1)A=a\frac{1}{3}+a\frac{1}{4}-a\frac{1}{6}=a\left(\frac{1}{3}+\frac{1}{4}-\frac{1}{6}\right)=a\frac{5}{12}\)
Thay \(a=-\frac{3}{5}\) vào A,ta đc:
\(A=-\frac{3}{5}.\frac{5}{12}=-\frac{1}{4}\)
\(2)B=b\frac{5}{6}+b\frac{3}{4}-b\frac{1}{2}=b\left(\frac{5}{6}+\frac{3}{4}-\frac{1}{2}\right)=b\frac{13}{12}\)
Thay \(b=\frac{12}{13}\) vào B, ta đc: \(B=b\frac{13}{12}=\frac{12}{13}.\frac{13}{12}=1\)
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S= - 32\(\left(\frac{1}{4}+\frac{1}{28}+\frac{1}{70}+...+\frac{1}{868}\right)\)
S = - 32\(\left(\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+...+\frac{1}{28.31}\right)\)
S = - 3\(\left(\frac{3}{1.4}+\frac{3}{4.7}+...+\frac{3}{28.31}\right)\)
S = -3\(\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{28}-\frac{1}{31}\right)\)
S = -3 \(\left(1-\frac{1}{31}\right)\)
S = -3\(.\frac{30}{31}\)
S = -90/31
1/3S=-(1/1*4+1/4*7+1/7*10+...+1/28*31)=-(1/1-1/4+1/4-1/7+1/7-1/10+...+1/28-1/31)=-(1/1-1/31)=-30/31
=>S=(-30/31):1/3=-90/31
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\(A< \frac{1}{2^2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2018.2019}=\frac{1}{2^2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2018}-\frac{1}{2019}\)
=> \(A< \frac{1}{2^2}+\frac{1}{2}-\frac{1}{2019}=\frac{3}{4}-\frac{1}{2019}=\frac{3}{4}\)
Vậy A<3/4
A< \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+.....+\frac{1}{2018.2019}\)
=\(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2018}-\frac{1}{2019}\)
=\(1-\frac{1}{2019}=\frac{2019-1}{2019}=\frac{2018}{2019}\)
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Dấu " . " k p dấu " , "
a) \(\frac{91}{1\cdot4}+\frac{91}{4\cdot7}+\frac{91}{7\cdot10}+...+\frac{91}{88\cdot99}\)
* Bài đúng k z ???
b) \(5\frac{1}{7}\left(3\frac{2}{3}+4\frac{1}{7}\right)=\frac{36}{7}\cdot\left(\frac{11}{3}+\frac{29}{7}\right)\)
\(=\frac{36}{7}\cdot\frac{164}{21}=\frac{1968}{49}\)
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\(\left(\frac{1}{3}+\frac{3}{4}-\frac{13}{12}\right):\left(\frac{12}{13}+\frac{123}{234}+\frac{1234}{2345}\right)\)
\(=\left(\frac{4}{12}+\frac{9}{12}-\frac{13}{12}\right):\left(\frac{12}{13}+\frac{123}{234}+\frac{1234}{2345}\right)\)
\(=\left(\frac{4+9-13}{12}\right):\left(\frac{12}{13}+\frac{123}{234}+\frac{1234}{2345}\right)\)
\(=0:\left(\frac{12}{13}+\frac{123}{234}+\frac{1234}{2345}\right)\)
\(=0\)
Study well ! >_<
(13 +34 - 1312 ) : (1213 + 123234 +12342345 )
=\(\left(\frac{4}{12}+\frac{9}{12}-\frac{13}{12}\right):\left(\frac{12}{13}+\frac{123}{234}+\frac{1234}{2345}\right)\)
= \(\left(\frac{4+9-13}{12}\right):\left(\frac{12}{13}+\frac{123}{234}+\frac{1234}{2345}\right)\)
= \(0:\left(\frac{12}{13}+\frac{123}{234}+\frac{1234}{2345}\right)\)
\(=0\)
=\(\frac{9}{4}\) nha bn
ừ tui nhầm xl bn! -2 và 1/4 = 2x4+1=9/4