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\(2022\times57+2022\times42+2022=2022\times\left(57+42+1\right)=2022\times\left(57+43\right)=2022\times100=202200.\)
\(\dfrac{2022\times2023-1}{2023\times2021+2022}\)
= \(\dfrac{\left(2021+1\right)\times2023-1}{2023\times2021+2022}\)
= \(\dfrac{2023\times2021+2023-1}{2023\times2021+2022}\)
= \(\dfrac{2023\times2021+2022}{2023\times2021+2022}\)
= 1
2023×2021+20222022×2023−1
= (2021+1)×2023−12023×2021+20222023×2021+2022(2021+1)×2023−1
= 2023×2021+2023−12023×2021+20222023×2021+20222023×2021+2023−1
= 2023×2021+20222023×2021+20222023×2021+20222023×2021+2022
= 1
`2022+2022:1/3+2022+2022:1/5`
`=2022+2022xx3+2022+2022xx5`
`=2022xx(1+3+1+5)`
`=2022xx10=20220`
\(\dfrac{2021}{2022}.\dfrac{7}{16}+\dfrac{9}{16}.\dfrac{2021}{2022}=\dfrac{2021}{2022}\left(\dfrac{7}{16}+\dfrac{9}{16}\right)=\dfrac{2021}{2022}.1=\dfrac{2021}{2022}\)
=2022x100=202200
= 2022 x ( 57 + 42 + 1 )
= 2022 x 100
= 202200