Answer :
To arrange the given quantities in ascending order, we first need to convert them all to the same format to make comparison easier.
1. Convert all quantities to decimal format:
- [tex]\(\frac{12}{25}\)[/tex]: To convert this fraction to a decimal, divide the numerator by the denominator:
[tex]\[
\frac{12}{25} = 0.48
\][/tex]
- [tex]\(0.46\)[/tex]: This is already in decimal form.
- [tex]\(47\%\)[/tex]: To convert a percentage to a decimal, divide it by 100:
[tex]\[
47\% = \frac{47}{100} = 0.47
\][/tex]
2. List the quantities in decimal form:
- [tex]\(\frac{12}{25} = 0.48\)[/tex]
- [tex]\(0.46\)[/tex]
- [tex]\(47\% = 0.47\)[/tex]
3. Arrange these decimal numbers in ascending order:
- Compare the decimal values:
- [tex]\(0.46\)[/tex]
- [tex]\(0.47\)[/tex]
- [tex]\(0.48\)[/tex]
Therefore, in ascending order, the quantities are:
[tex]\[ 0.46, \quad 47\%, \quad \frac{12}{25} \][/tex]
So, the final answer is [tex]\(0.46\)[/tex], [tex]\(47\%\)[/tex], [tex]\(\frac{12}{25}\)[/tex].
1. Convert all quantities to decimal format:
- [tex]\(\frac{12}{25}\)[/tex]: To convert this fraction to a decimal, divide the numerator by the denominator:
[tex]\[
\frac{12}{25} = 0.48
\][/tex]
- [tex]\(0.46\)[/tex]: This is already in decimal form.
- [tex]\(47\%\)[/tex]: To convert a percentage to a decimal, divide it by 100:
[tex]\[
47\% = \frac{47}{100} = 0.47
\][/tex]
2. List the quantities in decimal form:
- [tex]\(\frac{12}{25} = 0.48\)[/tex]
- [tex]\(0.46\)[/tex]
- [tex]\(47\% = 0.47\)[/tex]
3. Arrange these decimal numbers in ascending order:
- Compare the decimal values:
- [tex]\(0.46\)[/tex]
- [tex]\(0.47\)[/tex]
- [tex]\(0.48\)[/tex]
Therefore, in ascending order, the quantities are:
[tex]\[ 0.46, \quad 47\%, \quad \frac{12}{25} \][/tex]
So, the final answer is [tex]\(0.46\)[/tex], [tex]\(47\%\)[/tex], [tex]\(\frac{12}{25}\)[/tex].