Question

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use the cross product property to determine whether or not the following equations are proportions:

\\(\frac{1}{4} \div 0.5 = \frac{1}{6} \div \frac{1}{3}\\)

Explanation:

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<reasoning>

Convert the ratios to fractional form

\[
\frac{1}{4} : 0.5 = \frac{1}{6} : \frac{1}{3} \implies \frac{\frac{1}{4}}{0.5} = \frac{\frac{1}{6}}{\frac{1}{3}}
\]

Apply the cross product property

\[
\frac{1}{4} \cdot \frac{1}{3} = \frac{1}{12}
\]
\[
0.5 \cdot \frac{1}{6} = \frac{1}{2} \cdot \frac{1}{6} = \frac{1}{12}
\]

Compare the cross products

\[
\frac{1}{12} = \frac{1}{12}
\]
</reasoning>

<answer>
Use the cross product property to determine whether or not the following equations are proportions:

\(\frac{1}{4} \div 0.5 = \frac{1}{6} \div \frac{1}{3}\)

Answer:

<blank>Yes, it is a proportion</blank>
</answer>

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