`a, 3/5 < 1`
`14/10 > 1`
`=> 3/5 < 14/10`
`b, 7/8 < 1`
`5/2 > 1`
`=> 7/8 < 5/2`
`c, 15/7 > 1`
`8/64 < 1`
`=> 15/7 > 8/64`.
`a,` Ta có:
`14/10 = 7/5`
Vì `7/5 > 3/5 => 3/5 < 14/10`
`b,` Ta có:
`7/8 < 1 ; 5/2 >1`
`=> 7/8 < 5/2`
`c,` Ta có:
`15/7 >1 ; 8/64 <1`
`=> 15/7 > 8/64`
\(\dfrac{3}{5}< \dfrac{14}{10};\dfrac{7}{8}< \dfrac{5}{2};\dfrac{15}{7}>\dfrac{8}{64}\)
`3/5` giữ nguyên
`14/10 = 7/5`
mà `3 < 7`
Nên `3/5 < 7/5`
`=> 3/5 < 14/10`
_____________________________
`7/8` giữ nguyên
`5/2 = 20/8`
Mà `20 > 7`
Nên `7/8 < 20/8`
`=> 7/8 < 5/2`
__________________________
`8/64 = 1/8 = 7/56`
`15/7 = 120/56`
Mà `120 > 7`
Nên `7/56 <120/56`
`=> 8/64 < 15/7`
`3/5=3/5`
`14/10=7/5`
`=>3/5<14/10`
`7/8=7/8`
`5/2=20/8`
`=>7/8<5/2`
`15/7>1`
`8/64<1`
`=>15/7>8/64`
\(\dfrac{3}{5}=\dfrac{6}{10}< \dfrac{14}{10}\)
\(\dfrac{7}{8}< \dfrac{5}{2}=\dfrac{20}{8}\)
\(\dfrac{15}{7}=\dfrac{120}{56}>\dfrac{8}{64}=\dfrac{1}{8}=\dfrac{7}{56}\)
\(\dfrac{3}{5}\) và \(\dfrac{14}{10}\)
Giữ nguyên \(\dfrac{14}{10}\)
\(\dfrac{3}{5}=\dfrac{6}{10}\)
Vì \(\dfrac{6}{10}< \dfrac{14}{10}\) kết luận \(\dfrac{3}{5}< \dfrac{14}{10}\)
\(\dfrac{7}{8}\) và \(\dfrac{5}{2}\)
Giữ nguyên \(\dfrac{7}{8}\)
\(\dfrac{5}{2}=\dfrac{20}{8}\)
Vì \(\dfrac{7}{8}< \dfrac{20}{8}\) kết luận \(\dfrac{7}{8}< \dfrac{5}{2}\)
\(\dfrac{15}{7}\) và \(\dfrac{8}{64}\)
\(\dfrac{15}{7}=\dfrac{960}{448};\dfrac{8}{64}=\dfrac{56}{448}\)
Vì \(\dfrac{960}{448}>\dfrac{56}{448}\) kết luận \(\dfrac{15}{7}>\dfrac{8}{64}\)
Có \(\dfrac{3}{5}=\dfrac{6}{10}\Rightarrow\dfrac{3}{5}< \dfrac{14}{10}\)
Có \(\dfrac{5}{2}=\dfrac{20}{8}\Rightarrow\dfrac{5}{2}>\dfrac{7}{8}\)
Có \(\dfrac{8}{64}=\dfrac{1}{8}=\dfrac{7}{56};\dfrac{15}{7}=\dfrac{120}{56}\Rightarrow\dfrac{15}{7}>\dfrac{8}{64}\)