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Question

# Do the ratios in each pair form a proportion? 3.5/35, 2.04/204

Solution

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The simplified form of the given fraction, $\dfrac{3.5}{35} ,$ is

\begin{align*} & \dfrac{3.5(10)}{35(10)} \\\\&= \dfrac{35}{350} \\\\&= \dfrac{35\div35}{350\div35} \\\\&= \dfrac{1}{10} .\end{align*}

The simplified form of the given fraction, $\dfrac{2.04}{204} ,$ is

\begin{align*} & \dfrac{2.04(100)}{204(100)} \\\\&= \dfrac{204}{20400} \\\\&= \dfrac{204\div204}{20400\div204} \\\\&= \dfrac{1}{100} .\end{align*}

The results above show that the simplified form of the given fractions are NOT the same. Hence, these ratios are NOT a proportion.

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