Viết các phân số và số sau đây dưới dạng phân số có mẫu số là 24: \(\dfrac{-5}{6};\dfrac{3}{-8};2;\dfrac{-25}{100};\dfrac{72}{108}\)
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\(\dfrac{-1}{3}=\dfrac{-12}{36}\)
\(\dfrac{2}{3}=\dfrac{24}{36}\)
\(\dfrac{-1}{-2}=\dfrac{1}{2}=\dfrac{18}{36}\)
\(\dfrac{6}{-24}=\dfrac{-1}{4}=\dfrac{-9}{36}\)
\(\dfrac{-3}{4}=\dfrac{-27}{36}\)
\(\dfrac{10}{60}=\dfrac{1}{6}=\dfrac{6}{36}\)
\(\dfrac{-5}{6}=\dfrac{-30}{36}\)
\(\dfrac{11}{16}\) = \(\dfrac{1}{16}\) + \(\dfrac{10}{16}\) = \(\dfrac{1}{16}\) + \(\dfrac{2+8}{2\times8}\) = \(\dfrac{1}{16}\) + \(\dfrac{2}{2\times8}\) + \(\dfrac{8}{2\times8}\) = \(\dfrac{1}{16}\) + \(\dfrac{1}{8}\)+ \(\dfrac{1}{2}\)
\(\dfrac{5}{12}\) = \(\dfrac{1}{12}\) + \(\dfrac{4}{12}\) = \(\dfrac{1}{12}\) + \(\dfrac{4}{3\times4}\) = \(\dfrac{1}{12}\) + \(\dfrac{1}{3}\)
a) \(\dfrac{2}{5}=\dfrac{1}{5}\cdot\dfrac{2}{1}\)
\(\dfrac{15}{12}=\dfrac{5}{4}=\dfrac{5}{2}\cdot\dfrac{1}{2}\)
\(\dfrac{5}{-12}=\dfrac{-5}{12}=\dfrac{-5}{3}\cdot\dfrac{1}{4}\)
\(\dfrac{-3}{-4}=\dfrac{3}{4}=\dfrac{3}{2}\cdot\dfrac{1}{2}\)
\(\dfrac{52}{71};\)\(\dfrac{-4}{17};\)\(\dfrac{-5}{29};\dfrac{-31}{33}\).
a: 5/3=10/6=25/15=35/21
b: 5/7=35/49
6/15=12/30
4/5=16/20
c: 6=216/36=324/54=108/18
a)\(\dfrac{5}{3}=\dfrac{10}{6}=\dfrac{25}{15}=\dfrac{35}{21}\)
b)\(\dfrac{5}{7}=\dfrac{35}{49};\dfrac{6}{15}=\dfrac{12}{30};\dfrac{4}{5}=\dfrac{16}{20}\)
c) \(6=\dfrac{216}{36}=\dfrac{324}{54}=\dfrac{108}{18}\)
\(\dfrac{-5}{6}=\dfrac{-5\times4}{6\times4}=\dfrac{-20}{24}\)
\(\dfrac{3}{-8}=\dfrac{3\times\left(-3\right)}{-8\times\left(-3\right)}=\dfrac{-9}{24}\)
\(2=\dfrac{48}{24}\)
\(\dfrac{-25}{100}=\dfrac{-1}{4}=\dfrac{-1\times6}{4\times6}=\dfrac{-6}{24}\)
\(\dfrac{72}{108}=\dfrac{2}{3}=\dfrac{2\times8}{3\times8}=\dfrac{16}{24}\)