2/3 Cộng 4/9 Chia1/6
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\((\)\(\frac{1}{2}\)+\(\frac{3}{16}\)\()\):\(\frac{1}{7}\)-\((\)7+\(\frac{5}{8}\)\()\).\(\frac{1}{2}\)
= \(\frac{11}{16}\):\(\frac{1}{7}\)- \(\frac{61}{8}\).\(\frac{1}{2}\)
=\(\frac{77}{16}\)-\(\frac{61}{16}\)
=1
6: \(\left(2x^3-5x^2+6x-15\right):\left(2x-5\right)\)
\(=\frac{x^2\left(2x-5\right)+3\left(2x-5\right)}{2x-5}\)
\(=\frac{\left(2x-5\right)\left(x^2+3\right)}{2x-5}=x^2+3\)
2: \(\frac{2x^4-5x^2+x^3-3-3x}{x^2-3}\)
\(=\frac{2x^4-6x^2+x^3-3x+x^2-3}{x^2-3}\)
\(=\frac{2x^2\left(x^2-3\right)+x\cdot\left(x^2-3\right)+\left(x^2-3\right)}{x^2-3}=2x^2+x+1\)
5: \(\left(2x^3+5x^2-2x+3\right):\left(2x^2-x+1\right)\)
\(=\frac{2x^3-x^2+x+6x^2-3x+3}{2x^2-x+1}=\frac{\left(2x^2-x+1\right)\left(x+3\right)}{2x^2-x+1}\)
=x+3
3: \(\left(x-y-z\right)^5:\left(x-y-z\right)^3=\left(x-y-z\right)^{5-3}=\left(x-y-z\right)^2\)
1: \(\left(x^3-3x^2+x-3\right):\left(x-3\right)\)
\(=\frac{x^2\left(x-3\right)+\left(x-3\right)}{x-3}=x^2+1\)
6 2/7 + 7 3/5 + 8 6/9 + 9 1/4 + 2/5 + 5/7 + 1/3 x 3/4 + 1967
= 44/7 + 38/5 + 78/9 + 37/4 + 2/5 + 5/7 + 1/3 + 1967
= ( 44/7 + 5/7 ) + ( 38/5 + 2/5 ) + ( 26/3 + 1/3 ) + ( 37/4 + 3/4 ) +1967
= 7 + 8 + 9 + 10 + 1967
= 15 + 9 + 10 + 1967
= 24 + 10 + 1967
= 34 + 1967
= 2001
\(A=1+2+2^2+2^3+...+2^{100}\)
\(=1+\left(2+2^2\right)+\left(2^3+2^4\right)+...+\left(2^{99}+2^{100}\right)\)
\(=1+2\left(1+2\right)+2^3\left(1+2\right)+...+2^{99}\left(1+2\right)\)
\(=1+3\left(2+2^3+...+2^{99}\right)\)
=>A chia 3 dư 1
a) \(\frac{1}{2}+\frac{1}{4}-\frac{1}{5}=\frac{10}{20}+\frac{5}{20}-\frac{4}{20}=\frac{10+5-4}{20}=\frac{11}{20}=0,55\)
b) \(\frac{1}{2}.\frac{2}{5}:\frac{1}{4}=\frac{1}{2}.\frac{2}{5}.4=\frac{1.2.4}{2.5}=0,8\)
NÀY HẢ BẠN ƠI:
\(\frac{2}{3}+\frac{4}{9}-x=\frac{5}{6}\)
\(\frac{10}{9}-x=\frac{5}{6}\)
\(x=\frac{10}{9}-\frac{5}{6}=\frac{5}{18}\)
k mk nha
\(\frac{2}{3}\)+ \(\frac{4}{9}\)- \(\frac{5}{6}\)
= \(\frac{12}{18}\)+\(\frac{8}{18}\)- \(\frac{15}{18}\)
= \(\frac{20}{18}\)- \(\frac{15}{18}\)
= \(\frac{5}{18}\)
Chúc bạn học tốt

2/3 + 4/9 : 1/6
2/3 + 4/9 x 6/1
2/3 + 24/9
6/9 + 24/9
30/9
10/3
2/3 + 4/9 : 1/6
= 2/3 + 4/9 x 6/1
= 2/3 + 24/9
= 6/9 + 24/9
= 30/9
= 10/3