To compare and order the given quantities [tex]\(\frac{12}{25}\)[/tex], [tex]\(0.46\)[/tex], and [tex]\(47 \%\)[/tex] in ascending order, we need to convert each quantity into a common format, such as decimal form. Here’s a step-by-step solution:
1. Convert [tex]\(\frac{12}{25}\)[/tex] into a decimal:
[tex]\[
\frac{12}{25} = 0.48
\][/tex]
2. Convert [tex]\(47 \%\)[/tex] into a decimal:
[tex]\[
47 \% = \frac{47}{100} = 0.47
\][/tex]
3. Now let's list all quantities in decimal form:
[tex]\[
0.48, \quad 0.46, \quad 0.47
\][/tex]
4. Arrange these decimals in ascending order:
- Compare [tex]\(0.46\)[/tex], [tex]\(0.47\)[/tex], and [tex]\(0.48\)[/tex].
- The smallest among them is [tex]\(0.46\)[/tex].
- Next is [tex]\(0.47\)[/tex].
- The largest is [tex]\(0.48\)[/tex].
So, the given quantities in ascending order are:
[tex]\[
0.46, \quad 0.47, \quad 0.48
\][/tex]
