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a: =8/15x1/4=2/15
b: \(=\dfrac{5}{3}\cdot\dfrac{4}{5}\cdot\dfrac{6}{7}=\dfrac{24}{21}=\dfrac{8}{7}\)
c: \(=\dfrac{2}{5}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)=\dfrac{2}{5}\)
a: \(=\dfrac{2}{3}\cdot\dfrac{4}{5}\cdot\dfrac{5}{6}=\dfrac{2}{3}\cdot\dfrac{2}{3}=\dfrac{4}{9}\)
b: \(=\dfrac{5}{6}\cdot\dfrac{1}{5}=\dfrac{1}{6}\)
a. C1: \(\dfrac{8}{15}.\dfrac{5}{6}=\dfrac{4}{9}\)
C2: \(\dfrac{2}{3}.\dfrac{4}{5}.\dfrac{5}{6}=\dfrac{2.4.5}{3.5.3.2}\)
Triệt tiêu phần giống nhau ở tử và mẫu ta có
\(=\dfrac{4}{9}\)
b. \(C1:\left(\dfrac{1}{2}+\dfrac{1}{3}\right).\dfrac{1}{5}=\dfrac{5}{6}.\dfrac{1}{5}=\dfrac{1}{6}\)
C2: \(\dfrac{1}{2}.\dfrac{1}{5}+\dfrac{1}{3}.\dfrac{1}{5}=\dfrac{1}{10}+\dfrac{1}{15}=\dfrac{1}{6}\)
\(x+\dfrac{x}{2}=\dfrac{3}{4}\)
\(\dfrac{2x}{2}+\dfrac{x}{2}=\dfrac{3}{4}\)
\(\dfrac{3x}{2}=\dfrac{3}{4}\)
\(3x.4=2.3\)
\(12x=6\)
\(x=\dfrac{1}{2}\)
\(x+x\times\dfrac{1}{2}=\dfrac{3}{4}\)
\(x\times\left(1+\dfrac{1}{2}\right)=\dfrac{3}{4}\)
\(x\) \(\times\) \(\dfrac{3}{2}\) \(=\) \(\dfrac{3}{4}\)
\(x\) \(=\dfrac{3}{4}:\dfrac{3}{2}\)
\(x\) \(=\dfrac{1}{2}\)