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a; \(\dfrac{3.5}{8.24}\) = \(\dfrac{3.5}{8.3.8}\) = \(\dfrac{5.3:3}{8.8.3:3}\) = \(\dfrac{5}{64}\)
b; \(\dfrac{8.6}{9.32}\)= \(\dfrac{8.2.3}{3.3.8.2.2}\) = \(\dfrac{8.2.3:\left(8.2.3\right)}{3.2.8.2.3:\left(8.2.3\right)}\) = \(\dfrac{1}{3.2}\) = \(\dfrac{1}{6}\)
b; \(\dfrac{6.5.12}{20.15}\) = \(\dfrac{6.5.4.3}{4.5.3.5}\) = \(\dfrac{6.3.4.5:\left(3.4.5\right)}{5.3.4.5:\left(3.4.5\right)}\) = \(\dfrac{6}{5}\)
\(=-\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{25.27}\right)-\frac{2}{27}\)
\(=-\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{25}-\frac{1}{27}\right)-\frac{2}{27}\)
\(=-\left(1-\frac{1}{27}\right)-\frac{2}{27}\)
\(=-1+\frac{1}{27}-\frac{2}{27}\)
\(=-\frac{28}{27}\)
Rút gọn phân số:
\(\frac{52}{264}=\frac{52:4}{264:4}=\frac{13}{66}\)
học vui!
Ta có:
\(\frac{\left(-2\right)^3.3^3.5^3.7.8}{3.5^3.2^4.42}=\frac{\left(-2\right).\left(-2\right).\left(-2\right).3.3.3.5.5.5.7.2.2.2}{3.5.5.5.2.2.2.2.2.3.7}\)
\(=\frac{\left(-2\right)}{1}=-2\)
\(\frac{3\times5}{8\times24}\)= \(\frac{15}{192}\)= \(\frac{15:3}{192:3}\)= \(\frac{5}{64}\)
\(\frac{3.5}{8.24}\)=\(\frac{15}{192}\)=\(\frac{5}{64}\)
kb nha