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4 giờ 15 phút < 300 phút
327 giây > 5 phút 20 giây
1/4 giờ = 15 phút
2/3 phút < 50 giây
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Lấy 24 làm mẫu số chung, giữ nguyên \(\frac{25}{24}\) :
\(\frac{1}{2}=\frac{1\times12}{2\times12}=\frac{12}{24}\)
\(\frac{3}{8}=\frac{3\times3}{8\times3}=\frac{9}{24}\)
\(\frac{4}{6}=\frac{4\times4}{6\times4}=\frac{16}{24}\)
\(\frac{8}{4}=\frac{8\times6}{4\times6}=\frac{48}{24}\)
\(\rightarrow\) \(\frac{48}{24};\frac{25}{24}; \frac{16}{24} ;\frac{12}{24};\frac{9}{24}\)
\(\rightarrow\) \(\frac{8}{4} ; \frac{25}{24} ; \frac{4}{6} ; \frac{1}{2} ; \frac{3}{8}\)
Điền dấu(<,>.=)
\(\frac{6}{7}...\frac{7}{9}\)\(\frac{31}{32}...\frac{26}{25}\)\(\frac{2014}{4}...1\)
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\(\frac{6}{7}\) > \(\frac{7}{9}\)
\(\frac{31}{32}\) < \(\frac{26}{25}\)
\(\frac{2014}{4}\) > 1
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\(\frac{12}{25}+\frac{3}{5}+\frac{13}{25}=\left(\frac{12}{25}+\frac{13}{25}\right)+\frac{3}{5}=1+\frac{3}{5}=\frac{8}{5}\)
\(\frac{3}{2}+\frac{2}{3}+\frac{4}{3}=\left(\frac{2}{3}+\frac{4}{3}\right)+\frac{3}{2}=2+\frac{3}{2}=\frac{7}{2}\)
\(\frac{3}{5}+\frac{7}{5}+\frac{3}{4}=\left(\frac{3}{5}+\frac{7}{5}\right)+\frac{3}{4}=2+\frac{3}{4}=\frac{11}{4}\)
vì \(5=\dfrac{5}{1}=\dfrac{20}{4}\Rightarrow\dfrac{25}{4}>\dfrac{20}{4}\)
Đúng
Quy đồng mẫu số :
\(\dfrac{25}{4}>\dfrac{20}{4}\)