\(\frac{2}{3}\)+\(\frac{4}{3}\)X\(\frac{3}{6}\)=?
\(\frac{9}{24}\)RÚT GỌN THÀNH?
\(\frac{355}{985}\)+\(\frac{355}{985}\)=?[KHÔNG RÚT GỌN]
LÀM NHỮNG CÂU HỎI TRÊN[AI NHANH ,DUNG,TICK]
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\(9:\frac{3}{5}\cdot\frac{4}{15}=\frac{3}{5}\cdot\frac{4}{15}=\frac{4}{25}\)
\(\frac{156}{6}=26\)
1). Sx:-3/4 ; 1/-4 ; 2/5 ; 4/9
2). \(\frac{2.5.13}{26.35}+\frac{24.5-24}{4-28}+\frac{123.6+123.4}{3-126}=\frac{2.5.13}{2.13.5.7}+\frac{24.\left(5-1\right)}{4.\left(1-7\right)}+\frac{123.\left(6+4\right)}{-123}=\frac{1}{7}+4-10=\frac{1}{7}+\frac{42}{7}=\frac{43}{7}\)
câu 2
\(...=\sqrt{\left(2-\sqrt{5}\right)^2}-\sqrt{\left(2+\sqrt{5}\right)^2}=\left|2-\sqrt{5}\right|-\left|2+\sqrt{5}\right|=-4\)
câu 1
\(P=\left(\frac{\sqrt{x}}{3+\sqrt{x}}+\frac{x+9}{\left(3-\sqrt{x}\right)\left(3+\sqrt{x}\right)}\right):\left(\frac{3\sqrt{x}+1}{\sqrt{x}\left(\sqrt{x}-3\right)}-\frac{1}{\sqrt{x}}\right)\)
\(=\left(\frac{\sqrt{x}\left(3-\sqrt{x}\right)+x+9}{\left(3+\sqrt{x}\right)\left(3-\sqrt{x}\right)}\right):\left(\frac{3\sqrt{x}+1-\sqrt{x}+3}{\sqrt{x}\left(\sqrt{x}-3\right)}\right)\)
\(=\frac{3\sqrt{x}+9}{\left(3+\sqrt{x}\right)\left(3-\sqrt{x}\right)}:\frac{2\sqrt{x}+4}{\sqrt{x}\left(\sqrt{x}-3\right)}\)
\(=\frac{3}{\left(3-\sqrt{x}\right)}.\frac{\sqrt{x}\left(\sqrt{x}-3\right)}{2\sqrt{x}+4}=\frac{-3\sqrt{x}}{2\sqrt{x}+4}\)
\(P< -1\Leftrightarrow\frac{-3\sqrt{x}}{2\sqrt{x}+4}+1< 0\Leftrightarrow-\sqrt{x}+4< 0\Leftrightarrow\sqrt{x}>4\Leftrightarrow x>16\)
2.\(B=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.......\frac{49}{50}=\frac{1}{50}\)
\(A=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}....\frac{899}{900}\)
\(=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}....\frac{29.31}{30.30}\)
\(=\frac{1.2.3....29}{2.3.4....30}.\frac{3.4.5....31}{2.3.4....30}\)
\(=\frac{1}{30}.\frac{31}{2}=\frac{31}{60}\)
Làm câu a)
2/3+4/3x3/6=2/3+2/3=4/3
Làm câu b)
9/24=3/8
Làm câu c)
355/985+355/985=710/985
Vậy.................
a.1
b.3/8
c.710/985