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\(=15.\left(\frac{21.10101}{43.10101}+\frac{33.10101}{35.10101}\right)\)
\(=15.\left(\frac{21}{43}+\frac{33}{35}\right)\)
\(=15.\frac{2154}{1505}\)
\(=\frac{6462}{301}\)
\(=15.\left(\frac{21.10101}{43.10101}-\frac{33.10101}{35.10101}\right)\)
\(=15.\left(\frac{21}{43}-\frac{33}{35}\right)\)
\(=15.\frac{-684}{1505}=\frac{-2052}{301}\)
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) \(9\times\left(\frac{151515}{171717}+\frac{131313}{181818}\right)=9\times\left(\frac{15\times10101}{17\times10101}+\frac{13\times10101}{18\times10101}\right)=9\times\left(\frac{15}{17}+\frac{13}{18}\right)\)
\(=9\times\frac{491}{306}=\frac{491}{34}\)
\(15\times\left(\frac{212121}{434343}+\frac{333333}{555555}\right)=15\times\left(\frac{21}{43}+\frac{3}{5}\right)=15\times\frac{234}{215}=\frac{702}{43}\)
Bài 1
a; \(\dfrac{7}{19}\) x \(\dfrac{1}{3}\) + \(\dfrac{7}{19}\) x \(\dfrac{2}{3}\)
= \(\dfrac{7}{19}\) x (\(\dfrac{1}{3}+\dfrac{2}{3}\))
= \(\dfrac{7}{19}\) x 1
= \(\dfrac{7}{19}\)
b; 15 x \(\dfrac{2121}{4343}\) + 15 x \(\dfrac{212121}{434343}\)
= 15 x \(\dfrac{21}{43}\) + 15 x \(\dfrac{21}{43}\)
= 15 x \(\dfrac{21}{43}\) x (1 + 1)
= 15 x \(\dfrac{21}{43}\) x 2
= (15 x 2) x \(\dfrac{21}{43}\)
= 30 x \(\dfrac{21}{43}\)
= \(\dfrac{630}{43}\)
\(=15x\left(\dfrac{21}{43}+\dfrac{22}{43}\right)=15x1=15\)