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a) \(\frac{58}{19}+\frac{13}{17}+\frac{35}{43}+\frac{119}{19}+\frac{8}{43}\)
\(=\frac{13}{17}+\left(\frac{58}{19}+\frac{119}{19}\right)+\left(\frac{35}{43}+\frac{8}{43}\right)\)
\(=\frac{13}{17}+\frac{204}{19}+1\)
\(=\frac{1808}{133}\)
b) \(\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{11}+\frac{13}{4}\)
\(=\frac{-5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{13}{4}\)
\(=\frac{-5}{7}.1+\frac{13}{4}\)
\(=\frac{71}{28}\)
c) \(\frac{146}{13}-\left(\frac{21}{7}+\frac{68}{13}\right)\)
\(=\left(\frac{164}{13}-\frac{68}{13}\right)+3\)
\(=\frac{135}{13}\)
d) \(\frac{2}{7}.\frac{21}{4}-\frac{2}{7}.\frac{13}{4}\)
\(=\frac{2}{7}.\left(\frac{21}{4}-\frac{13}{4}\right)\)
\(=\frac{2}{7}.\frac{8}{4}\)
\(=\frac{4}{7}\)
P/s: Mk ko chắc nữa!
a ) \(\frac{-4}{11}\)x \(\frac{5}{15}\)x \(\frac{11}{-4}\)
= \(\frac{-4.5.11}{11.15.\left(-4\right)}\)
= \(\frac{1}{3}\)
\(A=\frac{4}{2.5}+\frac{4}{5.8}+\frac{4}{8.11}+...+\frac{4}{65.68}\)
\(A=4\left(\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+...+\frac{1}{65.68}\right)\)
\(A=\frac{4}{3}\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{65}-\frac{1}{68}\right)\)
\(A=\frac{4}{3}\left(\frac{1}{2}-\frac{1}{68}\right)\)
\(A=\frac{4}{3}.\frac{33}{68}\)
\(A=\frac{11}{17}\)
A = \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)\(\frac{4}{2.5}+\frac{4}{5.8}+\frac{4}{8.11}+.......+\frac{4}{65.68}\)\(\)4/2x5 + 4/5x8 + 4/8x11 + ....... + 4/65x68
Nhân cả 2 vế với 3/4 ta có :
3/4A = \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)\(\frac{4}{2.5}+\frac{4}{5.8}+\frac{4}{8.11}+.......+\frac{4}{65.68}\)\(\)3/2x5 + 3/5x8 + 3/8x11 + ....... + 3/65x68
3/4A = 1/2-1/5 + 1/5 - 1/8 + 1/8 - 1/11 + ........ + 1/65 - 1/68
3/4A = 1/2 - 1/68
3/4A = 33/68
A = 33/68 : 3/4
A = 11/17