To complete the table of equivalent values where you have a fraction, a percentage, and a decimal, let's fill in each blank step-by-step using the provided data:
1. Given Values:
- Fraction: [tex]\( \frac{1}{2} \)[/tex]
- Percentage: 30 (provided in the table)
- Decimal: 0.7 (provided in the table)
2. Converting Fraction to Decimal:
- The fraction [tex]\( \frac{1}{2} \)[/tex] as a decimal is [tex]\( 0.5 \)[/tex].
3. Converting Fraction to Percentage:
- The fraction [tex]\( \frac{1}{2} \)[/tex] as a percentage involves multiplying it by 100.
- [tex]\( \frac{1}{2} \times 100 = 50 \)[/tex]
4. Converting Decimal to Fraction:
- Decimal 0.7 remains the same when considering the decimal value, although it can also be interpreted as a fraction itself (such as [tex]\( \frac{7}{10} \)[/tex]), but for this context, we'll leave it as 0.7.
Therefore, by filling in the remaining values, the completed table would be:
[tex]\[
\begin{tabular}{c|c|c}
\text{FRACTION} \quad \frac{1}{2} & \text{PERCENTAGE} & \text{DECIMAL} \\
30 & 50 & 0.7 \\
\end{tabular}
\][/tex]
The detailed steps are as follows:
- From the fraction [tex]\( \frac{1}{2} \)[/tex], we get the decimal equivalent [tex]\( 0.5 \)[/tex].
- Converting [tex]\( \frac{1}{2} \)[/tex] to a percentage gives [tex]\( 50\% \)[/tex].
- The provided percentage and decimal in the table [tex]\( 30 \)[/tex] and [tex]\( 0.7 \)[/tex] remain unchanged.
So the final table with equivalent values is correctly completed.
