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})
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