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\(y+\frac{1}{2}\cdot\frac{1}{3}=\frac{3}{4}\)
\(y+\frac{1}{6}=\frac{3}{4}\)
\(y=\frac{3}{4}-\frac{1}{6}\)
\(y=\frac{7}{12}\)
\(y\)\(+\)\(\frac{1}{2}\)X \(\frac{1}{3}\)\(=\)\(\frac{3}{4}\)
\(y\)\(+\)\(\frac{1}{6}\) \(=\)\(\frac{3}{4}\)
\(y\) \(=\)\(\frac{7}{12}\)
\(\left(\frac{1}{3}+\frac{4}{2}\cdot\frac{1}{2}\right):\left(\frac{18}{9}-113\right)\)
\(=\left(\frac{1}{3}+1\right):\left(2-113\right)\)
\(=\frac{4}{3}:\left(-111\right)\)
\(=\frac{-4}{333}\)
Bài 1:
1: \(\frac{4}{15}+\frac{11}{15}=\frac{4+11}{15}=\frac{15}{15}=1\)
2: \(\frac56+\frac{14}{12}=\frac56+\frac76=\frac{5+7}{6}=\frac{12}{6}=2\)
3: \(3+\frac35=\frac{15}{5}+\frac35=\frac{15+3}{5}=\frac{18}{5}\)
4: \(\frac{15}{13}-\frac{2}{13}=\frac{15-2}{13}=\frac{13}{13}=1\)
5: \(\frac34-\frac13=\frac{9}{12}-\frac{4}{12}=\frac{9-4}{12}=\frac{5}{12}\)
6: \(\frac35-\frac{6}{15}=\frac35-\frac25=\frac{3-2}{5}=\frac15\)
7: \(\frac{18}{5}-3=\frac{18}{5}-\frac{15}{5}=\frac{18-15}{5}=\frac35\)
8: \(7-\frac57=\frac{49}{7}-\frac57=\frac{49-5}{7}=\frac{44}{7}\)
9: \(\frac67\cdot\frac{14}{36}=\frac{6}{36}\cdot\frac{14}{7}=2\cdot\frac16=\frac26=\frac13\)
10: \(3\cdot\frac79=\frac{3\cdot7}{9}=\frac{21}{9}=\frac73\)
11: \(\frac{5}{42}\cdot21=5\cdot\frac{21}{42}=5\cdot\frac12=\frac52\)
12: \(\frac59:\frac{15}{9}=\frac59\cdot\frac{9}{15}=\frac{5}{15}=\frac13\)
13: \(\frac{35}{18}:5=\frac{35}{18\cdot5}=\frac{35}{90}=\frac{7}{18}\)
14: \(14:\frac{7}{11}=14\cdot\frac{11}{7}=2\cdot11=22\)
Bài 2:
1: \(\frac17+\frac{3}{11}+\frac27+\frac{8}{11}+\frac47+2010\)
\(=\left(\frac17+\frac27+\frac47\right)+\left(\frac{3}{11}+\frac{8}{11}\right)+2010\)
=1+1+2010
=2012
2: \(\frac23-\frac34+\frac45-\frac56+\frac67-\frac78+\frac78-\frac67+\frac56-\frac43+\frac34-\frac23+\frac{1}{2012}\)
\(=\left(\frac23-\frac23\right)+\left(\frac34-\frac34\right)+\left(\frac45-\frac45\right)+\left(\frac56-\frac56\right)+\left(\frac78-\frac78\right)+\left(\frac67-\frac67\right)\) +1/2012
=1/2012
3: \(\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\cdots+\frac{1}{380}\)
\(=\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\cdots+\frac{1}{19\cdot20}\)
\(=\frac14-\frac15+\frac15-\frac16+\cdots+\frac{1}{19}-\frac{1}{20}\)
\(=\frac14-\frac{1}{20}=\frac{5}{20}-\frac{1}{20}=\frac{4}{20}=\frac15\)
4: \(182\cdot\left\lbrack\frac{1+\frac15-\frac27+\frac{5}{13}}{2+\frac25-\frac47+\frac{10}{13}}:\frac{4-\frac{4}{33}-\frac{4}{57}+\frac{4}{7000}}{1-\frac{1}{33}-\frac{1}{57}+\frac{1}{7000}}\right\rbrack:\frac{919191}{808080}\)
\(=182\cdot\left\lbrack\frac{1+\frac15-\frac27+\frac{5}{13}}{2\left(1+\frac15-\frac27+\frac{5}{13}\right)}:\frac{4\left(1-\frac{1}{33}-\frac{1}{57}+\frac{1}{7000}\right)}{1-\frac{1}{33}-\frac{1}{57}+\frac{1}{7000}}\right\rbrack:\frac{91}{80}\)
\(=182\cdot\left\lbrack\frac12:4\right\rbrack\cdot\frac{80}{91}=80\cdot2\cdot\frac18=\frac{160}{8}=20\)






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