a)\(\frac{2}{3}+\frac{3}{4}+\frac{5}{6}\)

\(=\frac{8+9+10}{12}\)

\(=\frac{27}{12}=\frac{9}{4}\)

b)\(\frac{15}{8}-\frac{7}{12}+\frac{5}{6}\)

\(=\frac{45-14+20}{24}\)

\(=\frac{51}{24}=\frac{17}{8}\)

2)

a)\(\frac{2}{5}+\frac{7}{13}+\frac{3}{5}+\frac{1}{7}\)

\(=\frac{2}{5}+\frac{3}{5}+\frac{7}{13}+\frac{1}{7}\)

\(=1+\frac{7}{13}+\frac{1}{7}\)

\(=\frac{20}{13}+\frac{1}{7}\)

\(=\frac{153}{91}\)

Tí tớ trả lời tiếp

b)\(5\frac14+3\frac25-4\frac14\)

=\(\left(5\frac14-4\frac14\right)+3\frac25\)

=\(\left\lbrack\left(5-4\right)+\left(\frac14-\frac14\right)\right\rbrack+\frac{17}{5}\)

=\(1+0+\frac{17}{5}\)

=\(\frac55+\frac{17}{5}\)

=\(\frac{22}{5}\)

1-2+3-4+5-6+...+2011-2012

=2012-2011+...+6-5+4-3+2-1

=(2012-2001)+...+(6-5)+(4-3)+(2-1)

=1+1+1+...+1+1(có 1006 số 1)

=1x60

=60

mình tính được -60 ?

\(4.\left\{3^2.\left[\left(5^2+2^3\right):11\right]-26\right\}+2009\)

\(=4.\left\{9.\left[\left(25^{ }+8\right):11\right]-26\right\}+2009\)

\(=4.\left\{9.\left[33:11\right]-26\right\}+2009\)

\(=4.\left\{9.3-26\right\}+2009\) \(=4.\left(27-26\right)+2009\)

\(=4.1+2009=2013\)

a)=\(\frac{7}{30}\)-\(\frac{17}{12}\)=\(\frac{-71}{60}\)                                                                                                                                        b) = \(\frac{29}{20}\)+\(\frac{-31}{30}\)+\(\frac{-2}{3}=\frac{-1}{4}\)

\(6\frac{5}{12}:2\frac{3}{4}+11\frac{1}{4}.\left(\frac{1}{3}-\frac{1}{5}\right)\)

\(=\frac{77}{12}:\frac{11}{4}+\frac{45}{4}.\left(\frac{5}{15}-\frac{3}{15}\right)\)

\(=\frac{77}{12}.\frac{4}{11}+\frac{45}{4}.\frac{2}{15}\)

\(=\frac{7}{3}+\frac{3}{2}\)

\(=\frac{14}{6}+\frac{9}{6}\)

\(=\frac{23}{6}=3\frac{5}{6}\)

= \(\frac{2}{7}.\left(5\frac{1}{4}-3\frac{1}{4}\right)\)

= \(\frac{2}{7}.2\)

= \(\frac{4}{7}\)

    \(\frac{2}{7}.5\frac{1}{4}-\frac{2}{7}.3\frac{1}{4}\)

=> \(\frac{2}{7}.\left(5\frac{1}{4}-3\frac{1}{4}\right)\)

=> \(\frac{2}{7}.2\)

=> \(\frac{4}{7}\)

#Hk_tốt

#Ngọc's_Ken'z

B1a)\(11\frac34-\left(6\frac56-4\frac12\right)+1\frac23\)

=\(11\frac34-6\frac56+4\frac12+1\frac23\)

=\(\left(11-6+4+1\right)+\left(\frac34-\frac56+\frac12+\frac23\right)\)

=\(10+\left(\frac{9}{12}-\frac{10}{12}+\frac{6}{12}+\frac{8}{12}\right)\)

=\(10+\left(-\frac{1}{12}+\frac{6}{12}+\frac{8}{12}\right)\)

=10+\(\frac{13}{12}\)

=\(\frac{120}{12}+\frac{13}{12}\)

=\(\frac{133}{12}\)

b)\(2\frac{17}{20}-1\frac{11}{5}+6\frac{9}{20}:3\)

= \(\frac{57}{20}-\frac{16}{5}+\frac{129}{20}\times\frac13\)

=\(\frac{57}{20}-\frac{16}{5}+\frac{129}{60}\)

=\(\frac{171}{60}-\frac{192}{60}+\frac{129}{60}\)

=\(\frac{108}{60}\)

=\(\frac95\)