To convert the improper fraction [tex]\(\frac{53}{5}\)[/tex] to a mixed number, follow these steps:
1. Divide the numerator by the denominator:
- The numerator is 53.
- The denominator is 5.
- Perform the division: [tex]\(53 \div 5\)[/tex].
2. Determine the whole number part:
- The quotient from the division of 53 by 5 is 10.
- This quotient represents the whole number part of the mixed number.
3. Find the remainder:
- After dividing 53 by 5, the remainder is 3.
- This remainder will be the numerator of the fractional part of the mixed number.
4. Write the mixed number:
- The denominator of the fractional part remains unchanged, so it is still 5.
- Combine the whole number part and the fractional part to get the mixed number: [tex]\(10 \frac{3}{5}\)[/tex].
So, [tex]\(\frac{53}{5}\)[/tex] as a mixed number is [tex]\(10 \frac{3}{5}\)[/tex].
