To convert the improper fraction [tex]\(\frac{19}{4}\)[/tex] into a mixed number, follow these steps:
1. Determine the whole number part of the mixed number:
- Divide the numerator (19) by the denominator (4).
- Performing the division gives 19 ÷ 4 = 4 with a remainder.
2. Identify the remainder:
- The remainder from the division is the part of the fraction that cannot be evenly divided.
- In this case, 19 ÷ 4 leaves a remainder of 3, because 4 × 4 = 16 and 19 - 16 = 3.
3. Write the fraction part:
- The remainder (3) becomes the new numerator of the fractional part.
- The denominator remains the same (4).
4. Combine the whole number and the fraction:
- The whole number part is 4.
- The fractional part is [tex]\(\frac{3}{4}\)[/tex].
Therefore, the mixed number for [tex]\(\frac{19}{4}\)[/tex] is:
[tex]\[ 4 \frac{3}{4} \][/tex]
