Question

[Moc Luu Anh]

1.tìm phân số a/b:

a)a/b+5/6=1-1/8           b)5/8-a/b=1/4+1/6           c)5/6-1/4-a/b=1/2

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Answer 1

[Nguyễn Thị Thương Hoài]

a; \(\dfrac{a}{b}\) + \(\dfrac{5}{6}\) = 1 - \(\dfrac{1}{8}\)

   \(\dfrac{a}{b}\) + \(\dfrac{5}{6}\) =  \(\dfrac{7}{8}\)

   \(\dfrac{a}{b}\)        = \(\dfrac{7}{8}-\dfrac{5}{6}\)

     \(\dfrac{a}{b}=\) \(\dfrac{21}{24}\) - \(\dfrac{20}{24}\)

         \(\dfrac{a}{b}=\dfrac{1}{24}\)

b; \(\dfrac{5}{8}-\dfrac{a}{b}\) = \(\dfrac{1}{4}+\dfrac{1}{6}\)

    \(\dfrac{5}{8}-\dfrac{a}{b}\) = \(\dfrac{3}{12}+\dfrac{2}{12}\)

    \(\dfrac{5}{8}-\) \(\dfrac{a}{b}\) = \(\dfrac{5}{12}\)

             \(\dfrac{a}{b}\) = \(\dfrac{5}{8}-\dfrac{5}{12}\)

              \(\dfrac{a}{b}\) = \(\dfrac{15}{24}\) - \(\dfrac{10}{24}\)

                \(\dfrac{a}{b}\) = \(\dfrac{5}{24}\)

c; \(\dfrac{5}{6}\) - \(\dfrac{1}{4}\) - \(\dfrac{a}{b}\) = \(\dfrac{1}{2}\) 

   \(\dfrac{10}{12}-\dfrac{3}{12}\) - \(\dfrac{a}{b}\) = \(\dfrac{1}{2}\)

    \(\dfrac{7}{12}\) - \(\dfrac{a}{b}\) = \(\dfrac{1}{2}\)

                \(\dfrac{a}{b}\) = \(\dfrac{7}{12}\) - \(\dfrac{1}{2}\)

                \(\dfrac{a}{b}\) = \(\dfrac{7}{12}-\dfrac{6}{12}\)

                   \(\dfrac{a}{b}=\dfrac{1}{12}\)