Question

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Answer 1

a, 

= \(\dfrac{13}{24}+\dfrac{-1}{16}\)

= \(\dfrac{23}{48}\)

b,

= \(\dfrac{7}{3}:\dfrac{7}{8}\)

= \(\dfrac{8}{3}-\dfrac{2}{5}\)

= \(\dfrac{34}{15}\)

c,

25%= \(\dfrac{1}{4}\)

= \(\dfrac{1}{4}-\dfrac{3}{2}+\dfrac{1}{2}\left(0,5=\dfrac{1}{2}\right).\dfrac{12}{5}\)

= \(\dfrac{1}{4}-\dfrac{3}{2}+\dfrac{6}{5}\)

= \(\dfrac{-5}{4}+\dfrac{6}{5}\)

= \(\dfrac{-1}{20}\)

Answer 2

a) \(\dfrac{13}{24}+\dfrac{11}{24}:\dfrac{-22}{3}\)

  =\(\dfrac{13}{24}+\dfrac{-1}{16}\)

  =\(\dfrac{26}{48}+\dfrac{-3}{48}\)

  =\(\dfrac{23}{48}\)

b) \(\left(\dfrac{5}{2}+\dfrac{-1}{6}\right):\dfrac{7}{8}-\dfrac{2}{5}\)

    =\(\left(\dfrac{15}{6}+\dfrac{-1}{6}\right):\dfrac{7}{8}-\dfrac{2}{5}\)

    =\(\dfrac{7}{3}:\dfrac{7}{8}-\dfrac{2}{5}\)

    =\(\dfrac{8}{3}-\dfrac{2}{5}\)

    =\(\dfrac{40}{15}-\dfrac{6}{15}\)

    =\(\dfrac{34}{15}\)

c) 25% -\(1\dfrac{1}{2}\) +0,5.\(\dfrac{12}{5}\)

 =\(\dfrac{1}{4}-\dfrac{3}{2}+\dfrac{1}{2}.\dfrac{12}{5}\)

 = \(\dfrac{1}{4}-\dfrac{3}{2}+\dfrac{6}{5}\)

 =\(\dfrac{-5}{4}+\dfrac{6}{5}\)

 =\(\dfrac{-5}{12}\)