QuestionCreate a table of five equivalent ratios for the fraction , ending with a part out of 100.
Studdy Solution
STEP 1
Assumptions1. The given rational number is .
. We need to construct a table of five equivalent ratios.
3. The equivalent ratios should start with the given rate and end with part out of the whole (100).
STEP 2
Let's start with the given ratio .
\begin{tabular}{|c|}
\hline\frac{}{5} \\\hline\end{tabular}
STEP 3
To find equivalent ratios, we can multiply or divide both the numerator and the denominator by the same number. Let's multiply both the numerator and the denominator by2.
\begin{tabular}{|c|c|}
\hline\frac{3}{5} & \frac{6}{10} \\\hline\end{tabular}
STEP 4
Next, let's multiply both the numerator and the denominator by3.
\begin{tabular}{|c|c|c|}
\hline\frac{3}{} & \frac{6}{10} & \frac{9}{15} \\\hline\end{tabular}
STEP 5
Now, let's multiply both the numerator and the denominator by4.
\begin{tabular}{|c|c|c|c|}
\hline\frac{3}{5} & \frac{}{10} & \frac{9}{15} & \frac{12}{20} \\\hline\end{tabular}
STEP 6
Finally, let's multiply both the numerator and the denominator by20 to get a part out of the whole (100).
\begin{tabular}{|c|c|c|c|c|}
\hline\frac{3}{5} & \frac{6}{10} & \frac{9}{15} & \frac{12}{20} & \frac{60}{100} \\\hline\end{tabular}
The table of five equivalent ratios for is\begin{tabular}{|c|c|c|c|c|}
\hline\frac{3}{5} & \frac{6}{10} & \frac{9}{15} & \frac{12}{20} & \frac{60}{100} \\\hline\end{tabular}
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