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a) \(85\times16+16\times15\)
\(=16\times\left(85+15\right)\)
\(=16\times100=1600\)
b) \(\left(\dfrac{3}{7}\times\dfrac{11}{15}+\dfrac{3}{7}\times\dfrac{4}{15}\right):\left(4+2\dfrac{6}{11}-\dfrac{6}{11}\right)\)
\(=\left[\dfrac{3}{7}\times\left(\dfrac{11}{15}+\dfrac{4}{15}\right)\right]:\left(4+\dfrac{28}{11}-\dfrac{6}{11}\right)\)
\(=\dfrac{3}{7}\times1:\left(4+2\right)\)
\(=\dfrac{3}{7}:6\)
\(=\dfrac{3}{7}\times\dfrac{1}{6}=\dfrac{3}{42}=\dfrac{1}{14}\)
c) \(x+\left(x+3\right)+\left(x+6\right)+...+\left(x+102\right)=1855\)
\(\Rightarrow35x+\left(3+6+...+102\right)=1855\)
\(\Rightarrow35x+\left(102+3\right)\times34:2=1855\)
\(\Rightarrow35x+1785=1855\)
\(\Rightarrow35x=1855-1785\)
\(\Rightarrow35x=70\)
\(\Rightarrow x=70:35\)
\(\Rightarrow x=2\)
Vậy...
\(#Tmiamm\)
\(\frac{2}{3}\cdot y-\frac{12}{3}:\left(\frac{2}{3}+\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}+\frac{2}{143}\right)=\frac{1}{3}\)\(\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4:\left(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+\frac{2}{9\cdot11}+\frac{2}{11\cdot13}\right)=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4:\left(\frac{3-1}{1\cdot3}+\frac{5-3}{3\cdot5}+\frac{7-5}{5\cdot7}+\frac{9-7}{7\cdot9}+\frac{11-9}{9\cdot11}+\frac{13-11}{11\cdot13}\right)=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4:\left(1+\frac{1}{3}-\frac{1}{3}+\frac{1}{5}-\frac{1}{5}+\frac{1}{7}-\frac{1}{7}+\frac{1}{9}-\frac{1}{9}+\frac{1}{11}-\frac{1}{11}+\frac{1}{13}\right)\)\(=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4:\left(\frac{1}{1}+\frac{1}{3}\right)=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4:\frac{4}{3}\)\(=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-4\cdot\frac{3}{4}=\frac{1}{3}\)
\(\frac{2}{3}\cdot y-3=\frac{1}{3}\)
\(\frac{2}{3}\cdot y=\frac{1}{3}+3\)
\(\frac{2}{3}\cdot y=\frac{10}{3}\)
\(y=\frac{10}{3}:\frac{2}{3}\)
y=5
a) b)
x\(\begin{matrix}\text{3 phút 15 giây}\\6\\\overline{\text{19 phút 30 giây}}\end{matrix}\) +\(\begin{matrix}\text{9 giờ 25 phút}\\\text{5 giờ 45 phút}\\\overline{\text{15 giờ 10 phút }}\end{matrix}\)
c)
x\(\begin{matrix}235,05\\4,2\\\overline{987,21}\end{matrix}\)
d)
\(91,25\) \(25\)
\(75\) \(3,65\)
\(162\)
\(150\)
\(125\)
\(0\)
5/3 - 3/4 + 7/12 = 20/12 - 9/12 + 7/12 = 18/12 = 3/2
5/6 : 2 x 18/7 = 5/6 x 1/2 x 18/7 = 90/84 = 15//14