Tính nhanh giá trị mỗi phân số sau: a)15 .(\(\frac{212121}{434343}\) +\(\frac{333333}{353535}\) ) c)\(\frac{327.412+400}{328.412-12}\)
b) \(\frac{639\cdot7217721}{721\cdot639639}\)
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a)=15.2154/1505
=6462/301
b)=461179719/138076
c,=134724+400/135136-12
=135124/135124
=1
a) \(15\times\left(\frac{212121}{434343}+\frac{333333}{353535}\right)=15\times\left(\frac{21\times10101}{43\times10101}+\frac{33\times10101}{35\times10101}\right)\)
\(=15\times\left(\frac{21}{43}+\frac{33}{35}\right)=\frac{6462}{301}\)
b) \(\frac{639\times721721}{721\times639639}=\frac{639\times721\times1001}{721\times639\times1001}=1\)
c) \(\frac{327\times412+400}{328\times412-12}=\frac{\left(328-1\right)\times412+400}{328\times412-12}=\frac{328\times412-412+400}{328\times412-12}\)
\(=\frac{328\times412-12}{328\times412-12}=1\)
d) \(9\times\left(\frac{151515}{171717}+\frac{131313}{181818}\right)=9\times\left(\frac{15\times10101}{17\times10101}+\frac{13\times10101}{18\times10101}\right)=9\times\left(\frac{15}{17}+\frac{13}{18}\right)\)
\(=9\times\frac{491}{306}=\frac{491}{34}\)
A)15x2154/1505
=6462/301
B)=103/1031
C)=327/328+400/-12
=727/316
D)=4/5
Bai 2=4 ta thay mau so la 4 nen 43-4=39 va 56-4=52 ta se thay 39/52=3/4.
\(=15.\left(\frac{21.10101}{43.10101}-\frac{33.10101}{35.10101}\right)\)
\(=15.\left(\frac{21}{43}-\frac{33}{35}\right)\)
\(=15.\frac{-684}{1505}=\frac{-2052}{301}\)
\(\frac{327\cdot412+400}{328\cdot412-12}=\frac{327\cdot412+400}{\left(327+1\right)\cdot412-12}=\)\(\frac{327\cdot412+400}{327\cdot412+1\cdot412-12}=\frac{327\cdot412+400}{327\cdot412+412-12}=\)\(\frac{327\cdot412+400}{327\cdot412+400}=\frac{1}{1}=1\)
\(\frac{327.412+400}{328.412-12}\) = \(\frac{328.412-412+400}{328.412-12}\)= \(\frac{328.412-\left[412-400\right]}{328.412-12}\) = \(\frac{328.412-12}{328.412-12}\) = 1
\(\frac{327\cdot412+400}{328\cdot412-12}\)
\(=\frac{327\cdot412+400}{\left(327+1\right)\cdot412-12}\)
\(=\frac{327\cdot412+400}{327\cdot412+\left(412-12\right)}\)
\(=\frac{327\cdot412+400}{327\cdot412+400}\)
\(=1\)
15 x (\(\frac{212121}{434343}+\frac{333333}{3535335}\)) = 15 x ( \(\frac{21.10101}{43.10101}+\frac{33.10101}{35.10101}\))
= 15 x ( \(\frac{21}{43}+\frac{33}{35}\)) = 5 x 3 x \(\frac{735}{1505}+\frac{1419}{1505}\)= 5 x 3 x \(\frac{2154}{1505}\)= \(\frac{6462}{301}\)
a)=15.(21/43+33?55)=15.234/215=16 14/43
b)=328.412-412+400/328.412-12=328.412-12/328.412-12=1
c)7217721 hay là 721721 vậy?