To find the difference between the two mixed numbers, follow these steps:
1. Convert the mixed numbers to improper fractions or decimal form.
[tex]\[ 11 \frac{11}{18} = 11 + \frac{11}{18} \approx 11.6111 \][/tex]
[tex]\[ 4 \frac{1}{12} = 4 + \frac{1}{12} \approx 4.0833 \][/tex]
2. Subtract the second number from the first number.
[tex]\[ 11.6111 - 4.0833 = 7.5278 \][/tex]
3. Express the result as a fraction and simplify it to its simplest form.
The fraction equivalent of the decimal [tex]\( 7.5278 \)[/tex] is [tex]\( \frac{271}{36} \)[/tex].
So, [tex]\( 11 \frac{11}{18} - 4 \frac{1}{12} = \frac{271}{36} \)[/tex].
In the provided boxes:
[tex]\[ 11 \frac{11}{18} - 4 \frac{1}{12} = \boxed{\frac{271}{36}} \][/tex]
[tex]\[ 7.5278 \][/tex]
[tex]\[ \qquad 271/36 \][/tex]
