Evaluate frac 1 3 div frac 5 7 frac 9 10 -1 fra... - JAMB Mathematics 1994 Question
Evaluate \(\frac{1}{3} \div [\frac{5}{7}(\frac{9}{10} -1 + \frac{3}{4})]\)
A
\(\frac{28}{39}\)
B
\(\frac{13}{39}\)
C
\(\frac{39}{28}\)
D
\(\frac{84}{13}\)
correct option: a
(\frac{1}{3} \div [\frac{5}{7}(\frac{9}{10} -1 + \frac{3}{4})])
(\frac{1}{3} \div [\frac{5}{7}(\frac{9}{10} - \frac{10}{10} + \frac{3}{4})])
= (\frac{1}{3} \div [\frac{5}{7}(\frac{-1}{10} + \frac{3}{4})])
= (\frac{1}{3} \div [\frac{5}{7}(\frac{-2 + 15}{20})])
= (\frac{1}{3} \div [\frac{5}{7} \times \frac{13}{20}])
(\frac{1}{3} + [\frac{13}{28}]) = (\frac{1}{3} \times \frac{28}{13})
= (\frac{28}{39})
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