Simplify frac 3 4 of frac 4 9 div 9 frac 1 2 di... - JAMB Mathematics 2010 Question
Simplify (\(\frac{3}{4}\) of \(\frac{4}{9}\) \(\div\) 9\(\frac{1}{2}\)) \(\div\) 1\(\frac{5}{19}\)
A
\(\frac{1}{5}\)
B
\(\frac{1}{4}\)
C
\(\frac{1}{36}\)
D
\(\frac{1}{25}\)
correct option: c
(\(\frac{3}{4}\) of \(\frac{4}{9}\) \(\div\) 9\(\frac{1}{2}\)) \(\div\) 1\(\frac{5}{19}\)
Applying the rule of BODMAS, we have:
(\(\frac{3}{4}\) x \(\frac{4}{9}\) \(\div\)\(\frac{24}{19}\)) \(\div\)\(\frac{24}{19}\)
(\(\frac{3}{9}\) \(\div\) \(\frac{19}{2}\)) \(\div\)\(\frac{24}{19}\) = (\(\frac{3}{9}\) x \(\frac{2}{19}\)) \(\div\)\(\frac{24}{19}\)
(\(\frac{1}{3}\) x \(\frac{2}{19}\)) \(\div\)\(\frac{24}{19}\)
\(\frac{1}{3}\) x \(\frac{2}{19}\) x \(\frac{19}{24}\)
= \(\frac{1}{36}\)
Applying the rule of BODMAS, we have:
(\(\frac{3}{4}\) x \(\frac{4}{9}\) \(\div\)\(\frac{24}{19}\)) \(\div\)\(\frac{24}{19}\)
(\(\frac{3}{9}\) \(\div\) \(\frac{19}{2}\)) \(\div\)\(\frac{24}{19}\) = (\(\frac{3}{9}\) x \(\frac{2}{19}\)) \(\div\)\(\frac{24}{19}\)
(\(\frac{1}{3}\) x \(\frac{2}{19}\)) \(\div\)\(\frac{24}{19}\)
\(\frac{1}{3}\) x \(\frac{2}{19}\) x \(\frac{19}{24}\)
= \(\frac{1}{36}\)
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