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\(\frac{4212}{14640}=\frac{4212:2}{14640:2}=\frac{2106}{7320}\)
\(\frac{6318}{21960}=\frac{6318:3}{21960:3}=\frac{2106}{7320}\)
Vậy\(\frac{2106}{7320}=\frac{4212}{14640}=\frac{6318}{21960}\)
\(\frac{171717}{292929}=\frac{17\times10101}{29\times10101}=\frac{17}{29}\)\(\frac{1717}{2929}=\frac{17\times101}{29\times101}=\frac{17}{29}\) suy ra \(\frac{1717}{2929}=\frac{171717}{292929}\)
RÚT GỌN:
\(\frac{3.13-13.18}{15.40-80}=\frac{13.\left(3-18\right)}{15.40-40.2}=\frac{13.\left(-15\right)}{40\left(15-2\right)}=\frac{13.\left(-15\right)}{40.13}=-\frac{15}{40}=-\frac{3}{8}\)
CHỨNG MINH:
Ta thấy \(\frac{1}{101}>\frac{1}{150};\frac{1}{102}>\frac{1}{150};...;\frac{1}{149}>\frac{1}{150}\)
=>\(\frac{1}{101}+\frac{1}{102}+...+\frac{1}{150}>\frac{1}{150}.\left(150-101+1\right)=\frac{1}{150}.50=\frac{50}{150}=\frac{1}{3}\)(đpcm)
TÍNH HỢP LÝ:
B=\(\frac{5}{13}+\frac{-5}{7}-\frac{20}{41}+\frac{8}{13}+\frac{-21}{41}=\left(\frac{5}{13}+\frac{8}{13}\right)+\left(\frac{-21}{41}-\frac{20}{41}\right)+\frac{-5}{7}=1+\left(-1\right)+\frac{-5}{7}=0+\frac{-5}{7}=\frac{-5}{7}\)
a) \(\frac{1717}{2929}=\frac{17.101}{29.101}=\frac{17}{29}\)
\(\frac{171717}{292929}=\frac{17.10101}{29.10101}=\frac{17}{29}\)
=> \(\frac{1717}{2929}=\frac{171717}{292929}\left(=\frac{17}{29}\right)\)
b) \(\frac{6420-68}{8340-82}=\frac{2\left(3210-34\right)}{2\left(4170-41\right)}=\frac{3210-34}{4170-41}\)
Vậy; \(\frac{3210-34}{4170-41}=\frac{6420-68}{8340-82}\)