Sure, let's solve this problem step by step.
### Converting 3.3% to Fraction
1. Understanding the percentage:
- A percentage represents a part out of 100. So, 3.3% is equivalent to 3.3 out of 100.
2. Writing the percentage as a fraction:
- We start by expressing 3.3% as a fraction:
[tex]\[
\frac{3.3}{100}
\][/tex]
3. Converting the decimal to a fraction:
- The decimal 3.3 can be written as [tex]\(\frac{33}{10}\)[/tex]. So, the fraction now becomes:
[tex]\[
\frac{33}{10} \times \frac{1}{100} = \frac{33}{1000}
\][/tex]
- Hence, 3.3% as a fraction is [tex]\(\frac{33}{1000}\)[/tex].
4. Simplifying the fraction:
- To simplify [tex]\(\frac{33}{1000}\)[/tex], we need to find the greatest common divisor (GCD) of 33 and 1000. The GCD of 33 and 1000 is 1.
- Since the GCD is 1, [tex]\(\frac{33}{1000}\)[/tex] is already in its simplest form.
Therefore, the fraction representation of 3.3% is:
[tex]\[
\frac{33}{1000}
\][/tex]
### Converting 3.3% to Decimal
1. Understanding the percentage:
- Again, 3.3% represents 3.3 per 100.
2. Converting percentage to decimal:
- To convert a percentage to a decimal, divide by 100:
[tex]\[
3.3 \div 100 = 0.033
\][/tex]
So, the decimal representation of 3.3% is:
[tex]\[
0.033
\][/tex]
### Summary
- Fraction: [tex]\(\frac{33}{1000}\)[/tex]
- Decimal: 0.033
If you have any more questions or need further clarifications, feel free to ask!
