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\(\dfrac{17,8.3,7-7,8.4,8+17,8.5,7-7,8.4,6}{4,7.6,5+4,7.2,5+4,7}\)
=\(\dfrac{17,8.3,7+17,8.5,7-7,8.4,8-7,8.4,6}{4,7\left(6,5+2,5+1\right)}\)
=\(\dfrac{17,8\left(3,7+5,7\right)-\left[7,8\left(4,8+4,6\right)\right]}{47}\)
=\(\dfrac{17,8.9,4-7,8.9,4}{47}\)
=\(\dfrac{9,4\left(17,8-7,8\right)}{47}\)
=\(\dfrac{9,4.10}{47}=\dfrac{94}{47}=2\)
![](https://rs.olm.vn/images/avt/0.png?1311)
b,4,7 + (-3,4) + 5,19 + 3,4 + (-4,7)
= [ 4,7 + (-4,7)] + [(-3,4) + 3,4] + 5,19
= 0 + 0 + 5,19
= 5,19
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,12,3\cdot4,7+5,3\cdot12,3-1,4\cdot7,5+7,5\cdot5,4\)
\(=12,3\cdot\left(4,7+5,3\right)-7,5\cdot\left(1,4+5,4\right)\)
\(=12,3\cdot10-7,5\cdot6,8\)
\(=123-51\)
\(=72.\)
\(b,3\cdot x-1=\frac{3}{4}:\frac{15}{16}\)
\(\Leftrightarrow3\cdot x-1=\frac{3}{4}\cdot\frac{16}{15}\)
\(\Leftrightarrow3\cdot x-1=\frac{4}{5}\)
\(\Leftrightarrow3\cdot x=\frac{4}{5}+1\)
\(\Leftrightarrow3\cdot x=\frac{9}{5}\)
\(\Leftrightarrow x=\frac{9}{5}\div3\)
\(\Leftrightarrow x=\frac{9}{5}\cdot\frac{1}{3}\)
\(\Leftrightarrow x=\frac{3}{5}\)
a) \(12,3\times4,7+5,3\times12,3-1,4\times7,5+7,5\times5,4\)
\(=12,3\times\left(4,7+5,3\right)+7,5\times\left(5,4-1,4\right)\)
\(=12,3\times10+7,5\times4\)
\(=123+30\)
\(=153\)
b) \(3.x-1=\frac{3}{4}:\frac{15}{16}\)
\(\Rightarrow3.x-1=\frac{4}{5}\)
\(\Rightarrow3.x=\frac{9}{5}\Rightarrow x=\frac{3}{5}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
A=1/1*3+1/3*5+1/5*7+.....+1/99*101
A=1/3*(1-1/3+1/3-1/5+1/5-1/7+.......+1/99-1/101)
A=1/3*(1-1/101)
A=1/3*100/101
A=300/301
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=\(\frac{-13}{12}:\frac{-1}{12}-\frac{16}{15}\)\(:\frac{-2}{15}\)
=\(\frac{-13}{12}\times\left(\frac{-12}{1}\right)-\frac{16}{15}\times\frac{-15}{2}\)
=\(13-\left(-8\right)\)
=\(21\)
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