5/3-1/6/0.3^2/0.2
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28 Jan 2024, 20:18
\(\dfrac{\frac{5}{3}-\frac{1}{6}}{\frac{(0.3)^2}{0.2}}\)
The numerator of the double-decker fraction can be reduced to
\(\frac{5}{3}-\frac{1}{6} = \frac{27}{18} = \frac{3}{2}\)
Next multiply this with the reciprocal of the denominator
\(\frac{3}{2} \times \frac{0.2}{0.09} = \frac{3}{10} \times \frac{1}{0.09} = \frac{3}{0.9} = \frac{1}{0.3} = \frac{1}{\frac{3}{10}} = \frac{10}{3}\)
The answer is Choice C.