Flashcard 9 - Mathematics: Quantitative Reasoning Flashcard Set for the TSIA2

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The correct answer is:

C


Explanation:

Let’s compare the numbers:

A. To compare two fractions, we need to find their common denominator and do the comparison.

\[\frac{1}{3} \times \frac{2}{2} = \frac{2}{6}\]

Thus, \(\frac{2}{6} < \frac{5}{6}\) and this choice isn’t true.

B. If we round the second number to two decimal places, we can see the comparison very easily: \(0.21\) compared with \(0.02\).

Of course, \(0.21 > 0.02\), so this choice isn’t true either.

C. To compare two fractions, we need to find their common denominator.

\[\frac{1}{5} \times \frac{2}{2} = \frac{2}{10}\]

\(\frac{2}{10} < \frac{7}{10}\) is true, so choice C is correct.

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