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\(\frac{1}{2}+\left(\frac{16}{21}+\frac{27}{13}\right)-\left(\frac{14}{13}-\frac{5}{21}\right)\)
\(=\frac{1}{2}+\frac{16}{21}+\frac{27}{13}-\frac{14}{13}+\frac{5}{21}\)
\(=\left(\frac{16}{21}+\frac{5}{21}\right)+\left(\frac{27}{13}-\frac{14}{13}\right)+\frac{1}{2}\)
\(=1+1+\frac{1}{2}\)
\(=\frac{5}{2}\)
#)Giải :
\(\frac{1}{2}+\left(\frac{16}{21}+\frac{27}{13}\right)-\left(\frac{14}{13}-\frac{5}{21}\right)\)
\(=\frac{1}{2}+\frac{16}{21}+\frac{27}{13}-\frac{14}{13}+\frac{5}{21}\)
\(=\frac{1}{2}+\left(\frac{16}{21}+\frac{5}{21}\right)+\left(\frac{27}{13}-\frac{14}{13}\right)\)
\(=\frac{1}{2}+1+1\)
\(=2\frac{1}{2}=\frac{5}{2}\)
a) \(\frac{17}{9}-\frac{17}{9}:\left(\frac{7}{3}+\frac{1}{2}\right)\)
= \(\frac{17}{9}-\frac{17}{9}:\frac{17}{6}\)
= \(\frac{17}{9}-\frac{2}{3}\)
= \(\frac{11}{9}\)
b) \(\frac{4}{3}.\frac{2}{5}-\frac{3}{4}.\frac{2}{5}\)
= \(\frac{2}{5}.\left(\frac{4}{3}-\frac{3}{4}\right)\)
= \(\frac{2}{5}.\frac{7}{12}\)
= \(\frac{7}{30}\)
Mình lười làm quá, hay mình nói kết quả cho bn thôi nha
c) -6
d) 3
e) 3
g) 12
h) \(\frac{23}{18}\)
i) \(\frac{-69}{20}\)
k) \(\frac{-1}{2}\)
l) \(\frac{49}{5}\)
Giải:
Đặt \(A=13\frac{1}{4}-2\frac{5}{27}-10\frac{5}{6},B=1\frac{3}{7}+\frac{10}{3},C=12\frac{1}{3}-14\frac{2}{7}\)
Ta có:
\(A=13-2-10+\frac{1}{4}-\frac{5}{27}-\frac{5}{6}=1+\frac{27-20-90}{108}=1-\frac{83}{108}=\frac{25}{108}\)
\(A.230\frac{1}{5}=\frac{25}{108}.230\frac{1}{25}=\frac{25}{108}.\frac{5751}{25}=\frac{5751}{108}=\frac{213}{4}\)
\(A.230\frac{1}{25}+46\frac{3}{4}=\frac{213}{4}+\frac{187}{4}=100\)
\(B=1+\frac{3}{7}+3+\frac{1}{3}=4+\frac{3}{7}+\frac{1}{3}=4+\frac{16}{21}=\frac{100}{21}\)
\(C=12\frac{1}{3}-14\frac{2}{7}=12-14+\frac{1}{3}-\frac{2}{7}=-2+\frac{7-6}{21}=-\frac{41}{21}\)
\(B:C=\frac{100}{21}:\left(-\frac{41}{21}\right)=-\frac{100}{41}\)
\(E=\frac{A.230\frac{1}{25}+46\frac{3}{4}}{B:C}=\frac{100}{-\frac{100}{41}}=-41\)
\(\frac{1}{2}\)\(+\)\(\left(\frac{16}{21}+\frac{27}{13}\right)\)\(-\)\(\left(\frac{14}{13}-\frac{5}{21}\right)\)
\(=\)\(\frac{1}{2}\)\(+\)\(\frac{16}{21}\)\(+\)\(\frac{27}{13}\)\(-\)\(\frac{14}{13}\)\(+\)\(\frac{5}{21}\)
\(=\)\(\frac{1}{2}\)\(+\)\(\left(\frac{16}{21}+\frac{5}{21}\right)\)\(+\)\(\left(\frac{27}{13}-\frac{14}{13}\right)\)
\(=\)\(\frac{1}{2}\)\(+\)\(\frac{21}{21}\)\(+\)\(\frac{13}{13}\)
\(=\)\(\frac{1}{2}\)\(+\)\(1\)\(+\)\(1\)
\(=\)\(\frac{5}{2}\)
\(\frac{7}{2}\)\(-\)\(\left(\frac{-1}{5}\right)\)\(-\)\(\frac{5}{6}\)\(+\)\(\frac{2}{3}\)\(+\)\(\left(\frac{-1}{5}\right)\)
\(=\)\(\frac{7}{2}\)\(+\)\(\frac{1}{5}\)\(-\)\(\frac{5}{6}\)\(+\)\(\frac{2}{3}\)\(-\)\(\frac{1}{5}\)
\(=\)\(\left(\frac{7}{12}-\frac{5}{6}+\frac{2}{3}\right)\)\(+\)\(\left(\frac{1}{5}-\frac{1}{5}\right)\)
\(=\)\(\frac{7}{2}\)\(-\)\(\frac{5}{6}\)\(+\)\(\frac{2}{3}\)\(+\)\(0\)
\(=\)\(\frac{5}{12}\)\(+\)\(0\)
\(=\)\(\frac{5}{12}\)