Rút gọn
\(\frac{36}{64}\)
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Rút gọn:
\(\frac{18}{30}=\frac{18:6}{30:6}=\frac{3}{5}\)
\(\frac{36}{27}=\frac{36:9}{27:9}=\frac{4}{3}\)
\(\frac{64}{80}=\frac{64:16}{80:16}=\frac{4}{5}\)
\(\frac{45}{35}=\frac{45:5}{35:5}=\frac{9}{7}\)
Rút gọn các phân số sau :
\(\frac{18}{30}=\frac{18\div6}{30\div6}=\frac{3}{5}\)
\(\frac{64}{80}=\frac{64\div16}{80\div16}=\frac{4}{5}\)
\(\frac{36}{27}=\frac{36\div9}{27\div9}=\frac{4}{3}\)
\(\frac{45}{35}=\frac{45\div5}{35\div5}=\frac{9}{7}\)
\(\frac{36}{64}=\frac{36:4}{64:4}=\frac{9}{16}\)
\(~~~Hok\)tốt\(~~~\)
\(\dfrac{90}{120}=\dfrac{30.3}{30.4}=\dfrac{3}{4}\)
\(\dfrac{15}{25}=\dfrac{5.3}{5.5}=\dfrac{3}{5}\)
\(\dfrac{18}{45}=\dfrac{9.2}{9.5}=\dfrac{2}{5}\)
\(\dfrac{36}{64}=\dfrac{4.9}{4.16}=\dfrac{9}{16}\)
\(\dfrac{32}{72}=\dfrac{8.4}{8.9}=\dfrac{4}{9}\)
\(\dfrac{84}{49}=\dfrac{7.12}{7.7}=\dfrac{12}{7}\)
\(\dfrac{90}{120}=\dfrac{3}{4};\dfrac{15}{25}=\dfrac{3}{5};\dfrac{18}{45}=\dfrac{2}{5};\dfrac{36}{64}=\dfrac{9}{16};\dfrac{32}{72}=\dfrac{4}{9};\dfrac{84}{49}=\dfrac{12}{7}\)
Đặt \(A=\frac{1}{4}+\frac{1}{16}+\frac{1}{36}+\frac{1}{64}+\frac{1}{100}+\frac{1}{144}+\frac{1}{196}\)
\(\Rightarrow A=\frac{1}{2^2}+\frac{1}{4^2}+\frac{1}{6^2}+\frac{1}{8^2}+\frac{1}{10^2}+\frac{1}{12^2}+\frac{1}{14^2}\)
\(\Rightarrow\frac{1}{2^2}.A=\frac{1}{2^2}.\left(\frac{1}{2^2}+\frac{1}{4^2}+\frac{1}{6^2}+\frac{1}{8^2}+\frac{1}{10^2}+\frac{1}{12^2}+\frac{1}{14^2}\right)\)
\(\Rightarrow\frac{1}{4}.A=\frac{1}{4^2}+\frac{1}{6^2}+\frac{1}{8^2}+\frac{1}{10^2}+\frac{1}{12^2}+\frac{1}{14^2}+\frac{1}{16^2}\)
\(\Rightarrow A-\frac{1}{4}.A=\left(\frac{1}{2^2}+\frac{1}{4^2}+\frac{1}{6^2}+\frac{1}{8^2}+\frac{1}{10^2}+\frac{1}{12^2}+\frac{1}{14^2}\right)-\left(\frac{1}{4^2}+\frac{1}{6^2}+\frac{1}{8^2}+\frac{1}{10^2}+\frac{1}{12^2}+\frac{1}{14^2}+\frac{1}{16^2}\right)\)
\(\Rightarrow\frac{3}{4}.A=\frac{1}{2^2}-\frac{1}{16^2}=\frac{1}{4}-\frac{1}{256}=\frac{63}{256}\)
\(\Rightarrow A=\frac{63}{256}:\frac{3}{4}=\frac{21}{64}\)
K rút họn đc đâu bạn. Bạn muốn chứng minh tổng trên bé hơn hoặc lớn hơn số nào thì đc
\(\frac{48}{64}\)= \(\frac{24}{32}\)= \(\frac{12}{16}\)= \(\frac{6}{8}\)=\(\frac{3}{4}\)
\(\frac{48}{64}\)=\(\frac{3}{4}\) ủng hộ mk nha!!! ##@@.vn
ta có:
\(\frac{36}{64}=\frac{36:4}{64:4}=\frac{9}{16}\)
nha
\(\frac{36}{64}=\frac{9}{16}\)