Evaluate (frac{frac{1}{10}timesfrac{2}{3}+frac{1}{4}}{frac{frac{1}{2}}{frac{3}{5}}-frac{1}{4}})

Evaluate (frac{frac{1}{10}timesfrac{2}{3}+frac{1}{4}}{frac{frac{1}{2}}{frac{3}{5}}-frac{1}{4}})
  • A.
    (frac{7}{12})
  • B.
    (frac{19}{35})
  • C.
    (frac{2}{25})
  • D.
    (frac{19}{60})
Correct Answer: Option B
Explanation

(frac{frac{1}{10}timesfrac{2}{3}+frac{1}{4}}{frac{frac{1}{2}}{frac{3}{5}}-frac{1}{4}}\Numerator hspace{1mm}frac{1}{10}timesfrac{2}{3}+frac{1}{4} = frac{1}{5}+frac{1}{4}\=frac{4+15}{60}=frac{19}{60}\denominatorhspace{1mm}= frac{frac{1}{2}}{frac{3}{5}}-frac{1}{4}=frac{1}{2}timesfrac{5}{3}-frac{1}{4}\=frac{5}{6}-frac{1}{4}\=frac{10-3}{12}\=frac{7}{12}\frac{Numerator}{denominator}=frac{frac{19}{60}}{frac{7}{12}}\=frac{19}{60}timesfrac{12}{7}=frac{19}{35})

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