To convert the fraction [tex]\(\frac{29}{4}\)[/tex] into a decimal, follow these steps:
1. Numerator and Denominator Identification: The numerator (the top part of the fraction) is 29 and the denominator (the bottom part of the fraction) is 4.
2. Division Process: Divide the numerator by the denominator. This means you need to perform the division [tex]\( 29 \div 4 \)[/tex].
3. Perform the Division: When you divide 29 by 4, the result is 7 with a remainder. To continue, you can either perform long division to find a more precise decimal or recognize that:
- 4 goes into 29 exactly 7 times (since [tex]\( 7 \times 4 = 28 \)[/tex]).
- This leaves a remainder of 1.
4. Converting the Remainder: To convert the remainder into a decimal, understand that 1 divided by 4 equals 0.25.
5. Combining the Results: Adding the whole number part (7) and the decimal part (0.25) together gives you the final result.
Therefore, the fraction [tex]\(\frac{29}{4}\)[/tex] converted to a decimal is:
[tex]$
7.25
$[/tex]
