a) \(4\dfrac{7}{10}=\dfrac{47}{10};6\dfrac{7}{10}=\dfrac{67}{10}\)
vì \(\dfrac{47}{10}< \dfrac{67}{10}\) nên \(4\dfrac{7}{10}< 6\dfrac{7}{10}\)
b) \(3\dfrac{4}{15}=\dfrac{49}{15};3\dfrac{11}{15}=\dfrac{56}{15}\)
vì \(\dfrac{49}{15}< \dfrac{56}{15}\) nên \(3\dfrac{4}{15}< 3\dfrac{11}{15}\)
c) \(5\dfrac{1}{9}=\dfrac{46}{9};2\dfrac{2}{5}=\dfrac{12}{5}\)
MSC: 45
Quy đồng: \(\dfrac{46}{9}=\dfrac{230}{45};\dfrac{12}{5}=\dfrac{108}{45}\)
mà \(230>108\) nên \(\dfrac{46}{9}>\dfrac{12}{5}\Rightarrow5\dfrac{1}{9}>2\dfrac{2}{5}\)
d) Rút gọn: \(2\dfrac{10}{15}=2\dfrac{2}{3}\) nên \(2\dfrac{2}{3}=2\dfrac{10}{15}\)
13:
a: 4<6
=>4+7/10<6+7/10
=>\(4\dfrac{7}{10}< 6\dfrac{7}{10}\)
b: 4/15<11/15
=>3+4/15<3+11/15
=>\(3\dfrac{4}{15}< 3\dfrac{11}{15}\)
c: 5+1/9=46/9=230/45
2+2/5=7/5=63/45
mà 230>63
nên \(5\dfrac{1}{9}>2\dfrac{2}{5}\)
d: \(2+\dfrac{2}{3}=\dfrac{8}{3};2+\dfrac{10}{15}=2+\dfrac{2}{3}=\dfrac{8}{3}\)
=>\(2\dfrac{2}{3}=2\dfrac{10}{15}\)