To convert the fraction \( \frac{13}{25} \) to a decimal, you can perform the division of 13 by 25.
Calculating \( 13 \div 25 \):
- \( 25 \) goes into \( 13 \) zero times, so we write \( 0.\) and then consider \( 130 \) (which is \( 13.0 \) with a decimal shift).
- \( 25 \) goes into \( 130 \) five times because \( 25 \times 5 = 125 \).
- Subtract \( 125 \) from \( 130 \) to get \( 5 \).
- Bring down another \( 0 \) to make it \( 50 \). \( 25 \) goes into \( 50 \) two times because \( 25 \times 2 = 50 \).
- Subtract \( 50 \) from \( 50 \) to get \( 0 \).
Thus, the decimal representation of \( \frac{13}{25} \) is \( 0.52 \).
So, \( \frac{13}{25} = 0.52 \).