Sure! To solve the fraction [tex]\(\frac{55}{1000}\)[/tex], we can follow these steps:
1. Understand the Fraction: We are given the fraction [tex]\(\frac{55}{1000}\)[/tex], where 55 is the numerator and 1000 is the denominator.
2. Simplifying the Fraction: Before converting the fraction to a decimal, we check if it can be simplified. The greatest common divisor (GCD) of 55 and 1000 is 5.
- Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{55 \div 5}{1000 \div 5} = \frac{11}{200}
\][/tex]
3. Convert to Decimal: To convert [tex]\(\frac{11}{200}\)[/tex] to a decimal, we perform the division [tex]\(11 \div 200\)[/tex].
- This is equivalent to calculating how many times 200 fits into 11, adjusting for decimal precision.
4. Perform the Division:
- Start by noting that 200 does not fit into 11, so we need more decimal places.
- Convert the division to [tex]\(11.000\)[/tex] to make it easier.
- Divide 11 by 200:
[tex]\[
11 \div 200 = 0.055
\][/tex]
Therefore, [tex]\(\frac{55}{1000} = 0.055\)[/tex].
