To find the decimal approximation of the fraction [tex]\(\frac{12}{13}\)[/tex], you can follow these steps:
1. Understand the Fraction: The fraction [tex]\(\frac{12}{13}\)[/tex] represents the division of the numerator (12) by the denominator (13).
2. Perform the Division: When you divide 12 by 13, the result is a decimal number.
3. Writing the Decimal Representation: The detailed division of 12 by 13 results in a repeating decimal.
Thus, the decimal approximation of [tex]\(\frac{12}{13}\)[/tex] is approximately [tex]\(0.9230769230769231\)[/tex]. This decimal representation indicates that [tex]\(\frac{12}{13}\)[/tex] is very close to 0.92308 when rounded to five significant figures for simplicity, but it actually has a repeating pattern in its decimal form.
