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Simplify 4 frac 3 4 - 6 frac 1 4 - JAMB Mathematics 1990 Question

Simplify 4(\frac{3}{4}) - 6(\frac{1}{4})

A
-7\(\frac{7}{8}\)
B
\(\frac{-2}{7}\)
C
\(\frac{-10}{21}\)
D
\(\frac{10}{21}\)
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Correct Option: B

4(\frac{3}{4}) - 6(\frac{1}{4})

(\frac{19}{4}) - (\frac{25}{4})............(A)

(\frac{21}{5}) - (\frac{5}{4}).............(B)

Now work out the value of A and the value of B and then find the value (\frac{A}{B})

A = (\frac{19}{4}) - (\frac{25}{4})

= (\frac{-6}{4})

B = (\frac{21}{5}) x (\frac{5}{20})

= (\frac{105}{20})

= (\frac{21}{4})

But then (\frac{A}{B}) = (\frac{-6}{4})

(\frac{21}{4}) = (\frac{-6}{4}) (\div) (\frac{21}{4})

= (\frac{-6}{4}) x (\frac{4}{21})

= (\frac{-24}{84})

= (\frac{-2}{7})

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