Let's break down the fraction [tex]\(\frac{3}{20}\)[/tex] into a step-by-step solution to understand its decimal representation.
1. Identify the numerator and denominator:
- The numerator (the top part of the fraction) is [tex]\(3\)[/tex].
- The denominator (the bottom part of the fraction) is [tex]\(20\)[/tex].
2. Convert the fraction to a decimal:
- To convert the fraction [tex]\(\frac{3}{20}\)[/tex] into a decimal, perform the division [tex]\(3 \div 20\)[/tex].
Performing this division, you get:
[tex]\[
3 \div 20 = 0.15
\][/tex]
So, the fraction [tex]\(\frac{3}{20}\)[/tex] is equivalent to the decimal [tex]\(0.15\)[/tex].
3. Summary:
- The fraction [tex]\(\frac{3}{20}\)[/tex] represents the division of [tex]\(3\)[/tex] by [tex]\(20\)[/tex].
- Performing this division results in the decimal [tex]\(0.15\)[/tex].
Therefore, the decimal equivalent of the fraction [tex]\(\frac{3}{20}\)[/tex] is [tex]\(0.15\)[/tex].
