Simplify \(\frac{4\frac{3}{4} - 6\frac{1}{4}}{4\frac{1}{5} \text{ of } 1\frac{1}{4}}\)
The correct answer is B. \(\frac{-2}{7}\)
\(\frac{4\frac{3}{4} - 6\frac{1}{4}}{4\frac{1}{5} \text{ of } 1\frac{1}{4}}\)
\(\frac{19}{4}\) - \(\frac{25}{4}\)............(A)
\(\frac{21}{5}\) x \(\frac{5}{4}\).............(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 \(\frac{5}{4}\)
= \(\frac{105}{20}\)
= \(\frac{21}{4}\)
But then \(\frac{A}{B}\) = \(\frac{-6}{4}\) \(\div\) \(\frac{21}{4}\)
= \(\frac{-6}{4}\) x \(\frac{4}{21}\)
= \(\frac{-24}{84}\)
= \(\frac{-2}{7}\)
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