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a) \(\frac{31}{17}+\frac{-5}{13}+\frac{-8}{13}-\frac{14}{17}\)
\(=\left(\frac{31}{17}-\frac{14}{17}\right)+\left(\frac{-5}{13}+\frac{-8}{13}\right)\)
\(=1+\left(-1\right)\)
\(=0\)
b) \(\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{11}+\frac{5}{7}\)
\(=\frac{-5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{5}{7}\)
\(=\frac{-5}{7}.1+\frac{5}{7}\)
\(=\frac{-5}{7}+\frac{5}{7}\)
\(=0\)
\(C=\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{14}+1\frac{5}{7}\)
\(C=\frac{5}{7}.\left(\frac{-2}{11}+\frac{-9}{14}+1\right)+1\)
\(C=\frac{5}{7}.\frac{27}{154}+1\)
\(C=\frac{135}{1078}+1\)
\(C=1\frac{135}{1078}\)
CHÚC BN HỌC TỐT!
ta có:
c=-5/7.2/11+-5/5.9/14+1/5/7
c=-10/77+-9/14+1/5/7
c=-79/154=1/5/7
c=185/154
\(\frac{5}{7}\).\(\frac{5}{11}\)+\(\frac{5}{7}\).\(\frac{8}{11}\)-\(\frac{5}{7}\).\(\frac{2}{11}\)
=\(\frac{5}{7}\)(\(\frac{5}{11}\)+\(\frac{8}{11}\)-\(\frac{2}{11}\))
=\(\frac{5}{7}\).1
=\(\frac{5}{7}\)