To change the fraction [tex]\(\frac{1}{4}\)[/tex] to a decimal, follow these detailed steps:
1. Understand the Fraction: The fraction [tex]\(\frac{1}{4}\)[/tex] consists of a numerator (1) and a denominator (4). The fraction represents 1 part out of 4 equal parts.
2. Division Interpretation: To convert the fraction to a decimal, interpret the fraction as a division problem. Specifically, [tex]\(\frac{1}{4}\)[/tex] means dividing 1 by 4.
3. Execute the Division: Perform the division of 1 by 4. Start this by placing the numerator (1) inside the division box and the denominator (4) outside.
- Since 1 is smaller than 4, you need to add a decimal point and some zeros to the 1.
- This turns the problem into dividing 10 by 4.
- 4 goes into 10 two times because [tex]\(4 \times 2 = 8\)[/tex], which provides a remainder of 2 (10 - 8 = 2).
4. Continue Division:
- Bring down another zero, making the new number to be divided 20.
- Divide 20 by 4, which results in 5 because [tex]\(4 \times 5 = 20\)[/tex], and subtracting 20 from 20 gives a remainder of 0.
5. Result Interpretation: Once you have a remainder of 0, the division is complete. The result of dividing 1 by 4 with the steps provided is 0.25.
Thus, the decimal equivalent of the fraction [tex]\(\frac{1}{4}\)[/tex] is [tex]\(\boxed{0.25}\)[/tex].
