Question

1/10 : (x-2/5) =4/15

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Answer 1

1/10 : (x-2/5) = 4/15

          x-2/5  = 4/15 : 1/10

          x-2/5  = 8/3

          x        = 8/3 + 2/5

          x        = 46/15

Answer 2

\(\frac{1}{10}:\left(x-\frac{2}{5}\right)=\frac{4}{15}\)

\(x-\frac{2}{5}=\frac{1}{10}:\frac{4}{15}=\frac{1}{10}.\frac{15}{4}=\frac{3}{8}\)

<=>\(x=\frac{3}{8}+\frac{2}{5}=\frac{15}{40}+\frac{16}{40}=\frac{31}{40}\)