Answer :

To solve the problem of converting the mixed number [tex]\(7 \frac{12}{25}\)[/tex] into a decimal, follow these steps:

1. Convert the mixed number to an improper fraction:
- A mixed number is made up of a whole number and a fraction. To convert it into an improper fraction (where the numerator is greater than the denominator), you multiply the whole number by the denominator and then add the numerator:
- For [tex]\(7 \frac{12}{25}\)[/tex], multiply the whole number 7 by the denominator 25:
[tex]\[
7 \times 25 = 175
\][/tex]
- Add the numerator 12 to the result:
[tex]\[
175 + 12 = 187
\][/tex]
- So, the improper fraction is [tex]\(\frac{187}{25}\)[/tex].

2. Convert the improper fraction to a decimal:
- To get the decimal form, divide the numerator by the denominator:
[tex]\[
\frac{187}{25} = 7.48
\][/tex]

Therefore, [tex]\(7 \frac{12}{25}\)[/tex] as a decimal is [tex]\(7.48\)[/tex].