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$MF#%\dfrac{(0.1667)(0.8333)(0.6666)}{(0.4444)(1.3333)(0.2500)}\text{is approximately equal to }$MF#%
Options:
A .  0.625
B .  0.572
C .  0.675
D .  0.724
Answer: Option A

Answer : Option A

Explanation :

$MF#%\begin{align}&\dfrac{(0.1667)(0.8333)(0.6666)}{(0.4444)(1.3333)(0.2500)}
\approx \dfrac{0.6666}{0.4444} \times \dfrac{(0.1667)(0.8333)}{(1.3333)(0.2500)}
\approx \dfrac{6666}{4444} \times \dfrac{\left(\dfrac{1}{6}\right )\left(\dfrac{5}{6}\right )}{\left(\dfrac{4}{3}\right )\left(\dfrac{25}{100}\right)}\\\\
&\approx \dfrac{3}{2} \times \dfrac{\left(\dfrac{1}{6}\right )\left(\dfrac{5}{6}\right )}{\left(\dfrac{4}{3}\right )\left(\dfrac{1}{4}\right)}
\approx \dfrac{3}{2} \times \dfrac{\left(\dfrac{1}{6}\right )\left(\dfrac{5}{6}\right )}{\left(\dfrac{1}{3}\right)} \\\\ &\approx \dfrac{3}{2} \times \dfrac{3 \times 5}{6 \times 6} \approx \dfrac{3}{2} \times \dfrac{5}{2 \times 6} \approx \dfrac{5}{2 \times 2 \times 2} \approx \dfrac{5}{8} \approx 0.625\end{align} $MF#%



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