Let's break down the given mathematical conversions step by step to understand how each fraction and percentage is represented in decimal form and as percentages.
1. Fraction and Decimal Conversion for [tex]\( \frac{7}{20} \)[/tex]:
- [tex]\( \frac{7}{20} \)[/tex] can be converted to a decimal by dividing 7 by 20.
- The result of [tex]\( \frac{7}{20} \)[/tex] is 0.35.
- Therefore, [tex]\( \frac{7}{20} = 0.35 \)[/tex].
2. Fraction and Decimal Conversion for [tex]\( \frac{3}{10} \)[/tex]:
- [tex]\( \frac{3}{10} \)[/tex] can be converted to a decimal by dividing 3 by 10.
- The result of [tex]\( \frac{3}{10} \)[/tex] is 0.3.
- Therefore, [tex]\( \frac{3}{10} = 0.3 \)[/tex].
- [tex]\( \frac{3}{10} \)[/tex] can also be written as [tex]\( \frac{30}{100} \)[/tex] which is equal to 30%.
3. Conversion of [tex]\( \frac{24}{100} \)[/tex]:
- [tex]\( \frac{24}{100} \)[/tex] can be converted to a decimal by dividing 24 by 100.
- The result of [tex]\( \frac{24}{100} \)[/tex] is 0.24.
- Therefore, [tex]\( \frac{24}{100} = 0.24 \)[/tex] which is also equal to 24%.
4. Conversion of [tex]\( \frac{18}{100} \)[/tex]:
- [tex]\( \frac{18}{100} \)[/tex] can be converted to a decimal by dividing 18 by 100.
- The result of [tex]\( \frac{18}{100} \)[/tex] is 0.18.
- Therefore, [tex]\( \frac{18}{100} = 0.18 \)[/tex] which is also equal to 18%.
5. Conversion of [tex]\( \frac{75}{100} \)[/tex]:
- [tex]\( \frac{75}{100} \)[/tex] can be converted to a decimal by dividing 75 by 100.
- The result of [tex]\( \frac{75}{100} \)[/tex] is 0.75.
- Therefore, [tex]\( \frac{75}{100} = 0.75 \)[/tex] which is also equal to 75%.
Here we have the completed table:
[tex]\[
\begin{tabular}{|c|c|c|}
\hline
\(\frac{7}{20}\) & & 0.35 \\
\hline
\multirow[t]{4}{*}{\(\frac{3}{10}\)} & \(\frac{30}{100}=30 \%\) & 0.3 \\
\hline
& \(\frac{24}{100}=24 \%\) & 0.24 \\
\hline
& \(\frac{18}{100}=18 \%\) & 0.18 \\
\hline
& \(\frac{75}{100}=75 \%\) & 0.75 \\
\hline
\end{tabular}
\][/tex]
This table accurately represents the given fractions and percentages alongside their decimal equivalents.
