\(\frac{8}{15}+\frac{4}{15}+\frac{6}{15}=....nhân\frac{2}{15}\)
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\(=\left(\frac{15}{8}-\frac{15}{6}-\frac{15}{32}+\frac{15}{63}\right):\left(3-\frac{3}{2}-\frac{3}{4}+\frac{3}{8}\right)\)
\(=\left(\frac{3780}{2016}-\frac{5040}{2016}-\frac{945}{2016}+\frac{480}{2016}\right):\left(\frac{24}{8}-\frac{12}{8}-\frac{6}{8}+\frac{3}{8}\right)\)
\(=\frac{-575}{672}:\frac{9}{8}=\frac{-575}{672}.\frac{8}{9}=\frac{-575}{756}\)
\(\frac{-15}{4}\times\frac{9}{11}+\frac{15}{4}\times\frac{15}{11}-\frac{15}{4}\times\frac{6}{11}\)
\(=\frac{15}{4}\times\left(\frac{-9}{11}+\frac{15}{11}-\frac{6}{11}\right)\)
\(=\frac{15}{4}\times0\)
\(=0\)
\(=\frac{15}{4}\times\left(-\frac{9}{11}\right)+\frac{15}{4}\times\frac{15}{11}+\frac{15}{4}\times\left(-\frac{6}{11}\right)\)
\(=\frac{15}{4}\times\left(-\frac{9}{11}+\frac{15}{11}+\left(-\frac{6}{11}\right)\right)\)
\(=\frac{15}{4}\times0\)
\(=0\)
a: \(=\left(\dfrac{2}{18}-\dfrac{15}{18}-\dfrac{72}{18}\right):\left(\dfrac{21}{36}-\dfrac{1}{36}-\dfrac{360}{36}\right)\)
\(=\dfrac{-85}{18}:\dfrac{-170}{18}\)
\(=\dfrac{85}{170}=\dfrac{1}{2}\)
b: \(=\left(\dfrac{5}{8}-\dfrac{5}{6}-\dfrac{5}{32}+\dfrac{5}{64}\right):\left(1-\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{8}\right)\)
\(=\dfrac{-55}{192}:\dfrac{3}{8}=\dfrac{-55}{192}\cdot\dfrac{8}{3}=-\dfrac{55}{72}\)
Gọi phần (.....) là x, ta có:
\(\frac{8}{15}+\frac{4}{15}+\frac{6}{15}=x\cdot\frac{2}{15}\)
\(\Rightarrow\frac{18}{15}=x\cdot\frac{2}{15}\)
\(\Rightarrow x\cdot\frac{2}{15}=\frac{18}{15}\)
\(\Rightarrow x=\frac{18}{15}:\frac{2}{25}\)
\(\Rightarrow x=9\)
Vậy x=9.