Simplify $\frac{4\frac{3}{4} - 6\frac{1}{4}}{4\frac{1}{5} \text{ of } 1\frac{1}{4}}$

-7 $\frac{7}{8}$

$\frac{-2}{7}$

$\frac{-10}{21}$

$\frac{10}{21}$

Correct answer is B

$\frac{4\frac{3}{4} - 6\frac{1}{4}}{4\frac{1}{5} \text{ of } 1\frac{1}{4}}$

$\frac{19}{4}$ - $\frac{25}{4}$ ............(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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