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rút gọn các phân số
a) 22/55 = 2/5
b) -63/81 = -7/9
a) \(\dfrac{22}{55}=\dfrac{2}{5}\)
b) \(\dfrac{-63}{81}=\dfrac{-7}{9}\)
c) \(\dfrac{2.14}{7.8}=\dfrac{2.7.2}{7.2.2.2}=\dfrac{1}{2}\)
d) \(\dfrac{49+7.49}{49}=\dfrac{49.\left(7+1\right)}{49}=\dfrac{49.8}{49}=8\)
Bài giải
Ta có: \(\frac{49+\left(-49\right).\left(-2\right)}{7.21}\)
= \(\frac{49.1+49.2}{7.21}\)
= \(\frac{49.\left(1+2\right)}{7.21}\)
= \(\frac{49.3}{7.21}\)
= \(\frac{7.7.3}{7.7.3}\)
= \(1\)
\(A=\frac{2.6.10+4.12.20+6.18.30+...+20.60.100}{1.2.3+2.4.6+3.6.9+...+10.20.30}\)
=> \(A=\frac{2^3.1.3.5+4^3.1.3.5+6^3.1.3.5+...+20^3.1.3.5}{1.2.3+2^3.1.2.3+3^3.1.2.3+...+10^3.1.2.3}\)
=> \(A=\frac{1.3.5\left(2^3+4^3+6^3+...+20^3\right)}{1.2.3\left(1+2^3+3^3+...+10^3\right)}=\frac{1.5.2^3.\left(1+2^3+3^3+...+10^3\right)}{1.2.\left(1+2^3+3^3+...+10^3\right)}\)
=> \(A=5.2^2=20\)
Đáp số: A=20
\(\frac{2\cdot6\cdot10+4\cdot12\cdot20+...+20\cdot60\cdot100}{1\cdot2\cdot3+2\cdot4\cdot6+...+10\cdot20\cdot30}=\frac{10\cdot2\left(1\cdot2\cdot3+2\cdot4\cdot6+...+10\cdot20\cdot30\right)}{1\cdot2\cdot3+2\cdot4\cdot6+...+10\cdot20\cdot30}\)
\(=20\)
\(\frac{3\times21}{14\times15}=\frac{1\times21}{14\times5}=\frac{21}{70}=\frac{3}{10}\)
\(\frac{49+7\times49}{49}=\frac{392}{49}=8\)
\(\frac{38}{144}=\frac{38:2}{144:2}=\frac{19}{72}\)
\(\frac{22}{55}=\frac{22:11}{55:11}=\frac{2}{5}\)
\(\frac{21}{49}=\frac{21:7}{49:7}=\frac{3}{7}\)
\(\frac{38}{144}=\frac{19}{72}\)
\(\frac{22}{55}=\frac{2}{5}\)
\(\frac{21}{49}=\frac{3}{7}\)