计算下面各题。
$63\times\frac{61}{62}$ $83\times\frac{83}{84}$
$=(62 + \_\_)\times\frac{61}{62}$ $=(84 - \_\_)\times\frac{83}{84}$
$=62\times\frac{61}{62}+ \_\_\times\frac{61}{62}$ $=84\times\frac{83}{84}- \_\_\times\frac{83}{84}$
$=$ $=$
$=$ $=$
$79\times\frac{77}{78}$ $93\times\frac{93}{94}$
$2021\div2021\frac{2021}{2022}$
方法一: 方法二:
$63\times\frac{61}{62}$ $83\times\frac{83}{84}$
$=(62 + \_\_)\times\frac{61}{62}$ $=(84 - \_\_)\times\frac{83}{84}$
$=62\times\frac{61}{62}+ \_\_\times\frac{61}{62}$ $=84\times\frac{83}{84}- \_\_\times\frac{83}{84}$
$=$ $=$
$=$ $=$
$79\times\frac{77}{78}$ $93\times\frac{93}{94}$
$2021\div2021\frac{2021}{2022}$
方法一: 方法二:
答案:
63×$\frac{61}{62}$
=(62 + 1)×$\frac{61}{62}$
=62×$\frac{61}{62}$+1×$\frac{61}{62}$
=61+$\frac{61}{62}$
=61$\frac{61}{62}$
83×$\frac{83}{84}$
=(84 - 1)×$\frac{83}{84}$
=84×$\frac{83}{84}$-1×$\frac{83}{84}$
=83-$\frac{83}{84}$
=82$\frac{1}{84}$
79×$\frac{77}{78}$
=(78 + 1)×$\frac{77}{78}$
=77+$\frac{77}{78}$
=77$\frac{77}{78}$
93×$\frac{93}{94}$
=(94 - 1)×$\frac{93}{94}$
=93-$\frac{93}{94}$
=92$\frac{1}{94}$
2021÷2021$\frac{2021}{2022}$
=(2021÷2021)÷(2021$\frac{2021}{2022}$÷2021)
=1÷1$\frac{1}{2022}$
=1÷$\frac{2023}{2022}$
=$\frac{2022}{2023}$
2021÷2021$\frac{2021}{2022}$
=2021÷$\frac{2021×2022 + 2021}{2022}$
=2021÷$\frac{2021×(2022 + 1)}{2022}$
=2021÷$\frac{2021×2023}{2022}$
=2021×$\frac{2022}{2021×2023}$
=$\frac{2022}{2023}$
=(62 + 1)×$\frac{61}{62}$
=62×$\frac{61}{62}$+1×$\frac{61}{62}$
=61+$\frac{61}{62}$
=61$\frac{61}{62}$
83×$\frac{83}{84}$
=(84 - 1)×$\frac{83}{84}$
=84×$\frac{83}{84}$-1×$\frac{83}{84}$
=83-$\frac{83}{84}$
=82$\frac{1}{84}$
79×$\frac{77}{78}$
=(78 + 1)×$\frac{77}{78}$
=77+$\frac{77}{78}$
=77$\frac{77}{78}$
93×$\frac{93}{94}$
=(94 - 1)×$\frac{93}{94}$
=93-$\frac{93}{94}$
=92$\frac{1}{94}$
2021÷2021$\frac{2021}{2022}$
=(2021÷2021)÷(2021$\frac{2021}{2022}$÷2021)
=1÷1$\frac{1}{2022}$
=1÷$\frac{2023}{2022}$
=$\frac{2022}{2023}$
2021÷2021$\frac{2021}{2022}$
=2021÷$\frac{2021×2022 + 2021}{2022}$
=2021÷$\frac{2021×(2022 + 1)}{2022}$
=2021÷$\frac{2021×2023}{2022}$
=2021×$\frac{2022}{2021×2023}$
=$\frac{2022}{2023}$
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