6) Which is all Ration A) \( 3.63,4 / 5,9 . \overline{27} \) B) \( \pi, 6.34, \sqrt{39} \) C) \( 12, \sqrt{36},-33 \)
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Beyond the Answer
Did you know that rational numbers are those that can be expressed as the quotient of two integers? This means any fraction like \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \), qualifies! For example, \( 12 \) is rational because it can be seen as \( \frac{12}{1} \). Now, let's look at the options more closely. In A), although it might seem tricky at first with the repeating decimals \( .\overline{27} \), those can actually be written as fractions. However, \( \pi \) and \( \sqrt{39} \) in B) are classic examples of irrational numbers—they cannot be expressed as a simple fraction. So, only C) consists of all rational numbers!
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