To determine the decimal equivalent of the fraction [tex]\(\frac{5}{10}\)[/tex], follow these steps:
1. Understanding the Fraction: The fraction [tex]\(\frac{5}{10}\)[/tex] means we have 5 parts out of 10 equal parts of a whole. Essentially, we're looking to convert this fraction into its decimal form.
2. Division Interpretation: A fraction represents the division of its numerator by its denominator. In this case, [tex]\(\frac{5}{10}\)[/tex] represents [tex]\(5 \div 10\)[/tex].
3. Division Process: To convert [tex]\(\frac{5}{10}\)[/tex] into a decimal, we perform the division [tex]\(5 \div 10\)[/tex].
- When dividing by 10, the place value of the digit in the numerator shifts one place to the right.
- As a result, 5 becomes 0.5 when divided by 10.
4. Final Decimal: Therefore, the decimal equivalent of [tex]\(\frac{5}{10}\)[/tex] is [tex]\(0.5\)[/tex].
Thus, [tex]\(\boxed{0.5}\)[/tex] is the decimal equivalent of the fraction [tex]\(\frac{5}{10}\)[/tex].
