Answer :
To solve the problem of converting the mixed number [tex]\(7 \frac{12}{25}\)[/tex] into an improper fraction, we need to follow these steps:
1. Identify the Components of the Mixed Number:
- The whole number part is 7.
- The fractional part has a numerator of 12 and a denominator of 25.
2. Convert the Mixed Number to an Improper Fraction:
- Multiply the whole number (7) by the denominator (25):
[tex]\[
7 \times 25 = 175
\][/tex]
- Add the result to the numerator of the fractional part (12):
[tex]\[
175 + 12 = 187
\][/tex]
- Thus, the improper fraction is [tex]\(\frac{187}{25}\)[/tex].
3. Simplified Improper Fraction:
- The fraction [tex]\(\frac{187}{25}\)[/tex] is already in its simplest form.
The correct answer to the question is [tex]\(\frac{187}{25}\)[/tex].
1. Identify the Components of the Mixed Number:
- The whole number part is 7.
- The fractional part has a numerator of 12 and a denominator of 25.
2. Convert the Mixed Number to an Improper Fraction:
- Multiply the whole number (7) by the denominator (25):
[tex]\[
7 \times 25 = 175
\][/tex]
- Add the result to the numerator of the fractional part (12):
[tex]\[
175 + 12 = 187
\][/tex]
- Thus, the improper fraction is [tex]\(\frac{187}{25}\)[/tex].
3. Simplified Improper Fraction:
- The fraction [tex]\(\frac{187}{25}\)[/tex] is already in its simplest form.
The correct answer to the question is [tex]\(\frac{187}{25}\)[/tex].