Thực hiện phép tính
a)\(\frac{4}{5}-\frac{1}{3}\) ; b)\(2\frac{1}{2}:\left(-\frac{8}{3}\right)\) ; c)\(16\frac{2}{7}.\frac{3}{5}+28\frac{5}{7}.\frac{3}{5}\); d)\(\left(\frac{3}{4}\right)^4.\left(\frac{4}{3}\right)^5\)
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\(\frac{3}{5}:\frac{7}{3}+\frac{3}{5}:\frac{7}{4}-1\frac{3}{5}\)
\(=\frac{3}{5}.\frac{3}{7}+\frac{3}{5}.\frac{4}{7}-1\frac{3}{5}\)
\(=\frac{3}{5}.\left(\frac{3}{7}+\frac{4}{7}\right)-1\frac{3}{5}\)
\(=\frac{3}{5}.1-1+\frac{3}{5}\)
\(=\frac{3}{5}-\frac{3}{5}-1\)
\(=-1\)
a) 35 :73 +35 :74 −135
\(=\frac{3}{5}:\left(\frac{7}{3}+\frac{7}{4}\right)-\frac{8}{5}\) \(=\frac{3}{5}.\frac{49}{12}-\frac{8}{5}\)\(=\frac{49}{20}-\frac{8}{5}\)
= \(\frac{17}{20}\)
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
\(5+\frac{1}{1+\frac{1}{1+\frac{2}{1+\frac{3}{4}}}}\)\(=5+\frac{15}{7}=\frac{50}{7}\)
\(\begin{array}{l}\frac{{ - 4}}{3} - \frac{{12}}{5} = \frac{{ - 4}}{3} + \frac{{ - 12}}{5}\\ = \frac{{ - 20}}{{15}} + \frac{{ - 36}}{{15}} = \frac{{ - 56}}{{15}}\end{array}\).
A = -10/3 + 19/6.7/5 - 19/3.1/10 + 19/10.4/3
A = 1/30.(-10.10 + 19.7 - 19.1 + 19.4)
A = 1/30.(-100 + 19.11 - 19)
A = 1/30.(-100 + 19.10)
A = 1/30.(-100 + 190)
A = 1/30.90
A = 3
a)=\(\frac{7}{30}\)-\(\frac{17}{12}\)=\(\frac{-71}{60}\) b) = \(\frac{29}{20}\)+\(\frac{-31}{30}\)+\(\frac{-2}{3}=\frac{-1}{4}\)
\(6\frac{5}{12}:2\frac{3}{4}+11\frac{1}{4}.\left(\frac{1}{3}-\frac{1}{5}\right)\)
\(=\frac{77}{12}:\frac{11}{4}+\frac{45}{4}.\left(\frac{5}{15}-\frac{3}{15}\right)\)
\(=\frac{77}{12}.\frac{4}{11}+\frac{45}{4}.\frac{2}{15}\)
\(=\frac{7}{3}+\frac{3}{2}\)
\(=\frac{14}{6}+\frac{9}{6}\)
\(=\frac{23}{6}=3\frac{5}{6}\)
\(a,\frac{4}{5}-\frac{1}{3}=\frac{4.3}{5.3}-\frac{5.1}{5.3}=\frac{12}{15}-\frac{5}{15}=\frac{7}{15}.\)
\(b,2\frac{1}{2}:\left(-\frac{8}{3}\right)=\frac{5}{2}\cdot\frac{-3}{8}=\frac{-15}{16}\)
\(c,16\frac{2}{7}\cdot\frac{3}{5}+28\frac{5}{7}\cdot\frac{3}{5}=\frac{3}{5}\left(\frac{114}{7}+\frac{201}{7}\right)=\frac{3}{5}\cdot\frac{315}{7}=\frac{189}{7}=27\)
\(d,\left(\frac{3}{4}\right)^4\cdot\left(\frac{4}{3}\right)^5=\frac{3^4}{4^4}\cdot\frac{4^5}{3^5}=\frac{4}{3}\)