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a: -3/4x12=-36/4=-9
b: \(=\dfrac{7}{15}\cdot\dfrac{10}{21}=\dfrac{7}{21}\cdot\dfrac{10}{15}=\dfrac{1}{3}\cdot\dfrac{2}{3}=\dfrac{2}{9}\)
c: \(=\dfrac{7}{18}\cdot\dfrac{12}{21}=\dfrac{12}{18}\cdot\dfrac{7}{21}=\dfrac{2}{3}\cdot\dfrac{1}{3}=\dfrac{2}{9}\)
d: \(=\dfrac{11}{15}\cdot\dfrac{5}{22}=\dfrac{11}{22}\cdot\dfrac{5}{15}=\dfrac{1}{2}\cdot\dfrac{1}{3}=\dfrac{1}{6}\)
e: \(=-\dfrac{8}{15}\cdot\dfrac{5}{4}=\dfrac{-40}{60}=\dfrac{-2}{3}\)
f: \(=-15\cdot\dfrac{3}{5}=-9\)
a, \(\frac{21}{30}\) và \(\frac{43}{60}\)
Ta có: \(\frac{21}{30}=\frac{42}{60}\)
Vì \(\frac{42}{60}< \frac{43}{60}\) nên \(\frac{21}{30}< \frac{43}{60}\)
b, \(\frac{-5}{7}\) và \(\frac{-8}{21}\)
Ta có: \(\frac{-5}{7}=\frac{-15}{21}\)
Vì \(\frac{-15}{21}< \frac{-8}{21}\) nên \(\frac{-5}{7}< \frac{-8}{21}\)
c, \(\frac{3}{5}\) và \(\frac{-7}{55^2}\)
Ta có: \(\frac{3}{5}\) > 0; \(\frac{-7}{55^2}\) < 0 nên \(\frac{3}{5}>\frac{-7}{55^2}\)
d, \(\frac{7}{4}\) và \(\frac{5}{6}\)
Vì \(\frac{7}{4}\) > 1; \(\frac{5}{6}\) < 1 nên \(\frac{7}{4}>\frac{5}{6}\)
e, \(\frac{9999}{1000}\) và \(\frac{1000}{9999}\)
Vì \(\frac{9999}{1000}\) > 1 và \(\frac{1000}{9999}\) < 1 nên \(\frac{9999}{1000}>\frac{1000}{9999}\)
f, \(\frac{27}{21}\) và \(\frac{27}{12}\)
Vì 21 > 12 nên \(\frac{27}{21}< \frac{27}{12}\)
Chúc bn học tốt
a, \(\frac{3}{8};-\frac{7}{11}\)
Quy đồng mẫu số: \(\frac{3}{8}=\frac{3\cdot11}{8\cdot11}=\frac{33}{88};-\frac{7}{11}=\frac{-7\cdot8}{11\cdot8}=-\frac{56}{88}\)
b, \(\frac{7}{15};-6\)
Quy đồng mẫu số: \(-6=\frac{-6\cdot15}{15}=-\frac{90}{15}\)
c, \(-\frac{3}{16};\frac{-5}{-24}\) ; \(-\frac{21}{56}\)
Quy đồng mẫu số:
\(-\frac{3}{16}=\frac{-3\cdot3}{16\cdot3}=-\frac{9}{48};\frac{-5}{-24}=\frac{5}{24}=\frac{5\cdot2}{24\cdot2}=\frac{10}{48}\)
\(-\frac{21}{56}=-\frac{3}{8}=\frac{-3\cdot6}{8\cdot6}=-\frac{18}{48}\)
\(a,\frac{3}{17}+\frac{-5}{13}+\frac{-18}{35}+\frac{14}{17}+\frac{17}{-35}\)
=\(-\frac{5}{13}+\left(\frac{3}{17}+\frac{14}{17}\right)+\left(\frac{-18}{35}+\frac{-17}{35}\right)\)
= \(-\frac{5}{13}+1+\left(-1\right)\)
=\(-\frac{5}{13}\)
\(b,\frac{-3}{8}.\frac{1}{6}+\frac{3}{-8}.\frac{5}{6}+\frac{-10}{6}\)
=\(\frac{-3}{8}.\left(\frac{1}{6}+\frac{5}{6}\right)+\frac{-10}{6}\)
=\(\frac{-3}{8}.1+\frac{-10}{6}\)
=\(-\frac{49}{24}\)
\(c,\frac{-4}{11}.\frac{5}{15}.\frac{11}{-4}\)
=\(\left(\frac{-4}{11}.\frac{11}{-4}\right).\frac{1}{3}\)
=\(1.\frac{1}{3}=\frac{1}{3}\)
\(d,\frac{13}{8}+\frac{1}{8}:\left(0,75-\frac{1}{2}\right)-25\%.\frac{1}{2}\)
=\(\frac{13}{8}+\frac{1}{8}:\left(\frac{3}{4}-\frac{1}{2}\right)-\frac{1}{4}.\frac{1}{2}\)
=\(\frac{13}{8}+\frac{1}{8}:\frac{1}{4}-\frac{1}{8}\)
=\(\frac{13}{8}+\frac{1}{2}+\frac{-1}{8}\)
=\(\left(\frac{13}{8}+\frac{-1}{8}\right)+\frac{1}{2}\)
=\(\frac{3}{2}+\frac{1}{2}=2\)
\(e,\frac{-1}{2^2}-\left(-2\right)^2-5\)
=\(\frac{-1}{4}-4-5\)
=\(-\frac{37}{4}\)
\(f,\frac{121}{3}-\frac{5}{7}:\left(24-\frac{23}{57}\right)\)
=\(\frac{121}{3}-\frac{5}{7}:\frac{1345}{57}\)
=\(\frac{121}{3}-\frac{57}{1883}\)
\(\approx40,4\)