To convert the improper fraction [tex]\( \frac{9}{4} \)[/tex] into a mixed number, follow these steps:
1. Divide the numerator by the denominator:
[tex]\[
9 \div 4 = 2 \quad (remainder: 1)
\][/tex]
Here, 9 divided by 4 is 2 with a remainder of 1.
2. Record the integer part:
The whole number part of the mixed number is 2.
3. Find the remainder:
The remainder from the division is 1.
4. Write the mixed number:
The mixed number is written by combining the integer part with the remainder over the original denominator. Therefore, the mixed number is:
[tex]\[
2 \frac{1}{4}
\][/tex]
So, the improper fraction [tex]\( \frac{9}{4} \)[/tex] as a mixed number is [tex]\( 2 \frac{1}{4} \)[/tex].
