Questions: Numerator, 48 24 Denominator 80 40

Numerator, 48 24 Denominator 80 40
Transcript text: \begin{tabular}{|l|l|l|l|l|} \hline Numerator, & 48 & 24 & & \\ \hline Denominator & 80 & 40 & & \\ \hline \end{tabular}
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Solution

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Solution Steps

To solve the problem of finding the missing values in the table, we need to determine the ratios of the given numerators to their corresponding denominators and then apply the same ratio to find the missing values.

Step 1: Calculate Ratios

We have the following numerators and denominators:

  • Numerators: \( 48, 24 \)
  • Denominators: \( 80, 40 \)

To find the ratios, we compute: \[ \text{Ratio}_1 = \frac{48}{80} = 0.6 \] \[ \text{Ratio}_2 = \frac{24}{40} = 0.6 \]

Step 2: Identify Missing Values

Since both ratios are equal to \( 0.6 \), we can use this ratio to find any missing values in the table. If we denote the missing numerator as \( x \) and the missing denominator as \( y \), we can set up the following equations based on the established ratio: \[ \frac{x}{y} = 0.6 \]

Step 3: Solve for Missing Values

If we have a known denominator \( y \), we can find the corresponding numerator \( x \) using: \[ x = 0.6 \cdot y \] Conversely, if we have a known numerator \( x \), we can find the corresponding denominator \( y \) using: \[ y = \frac{x}{0.6} \]

Final Answer

The ratios for the given numerators and denominators are both \( 0.6 \). Thus, the missing values can be calculated using the established ratio. The final answer is: \[ \boxed{0.6} \]

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