Let's break down and simplify the given expression step by step.
We are dealing with the expression [tex]\( +1+\frac{11}{22} 1 \frac{1}{28} 1 \)[/tex].
First, let's simplify each part individually.
1. Simplify the fraction [tex]\(\frac{11}{22}\)[/tex]:
[tex]\[
\frac{11}{22} = \frac{11 \div 11}{22 \div 11} = \frac{1}{2} = 0.5
\][/tex]
2. Simplify the mixed fraction [tex]\(1 \frac{1}{28}\)[/tex]:
- The mixed fraction [tex]\(1 \frac{1}{28}\)[/tex] can be converted into an improper fraction:
[tex]\[
1 \frac{1}{28} = 1 + \frac{1}{28} = 1 + 0.03571428571428571 \approx 1.0357142857142858
\][/tex]
3. Add all of the simplified fractions and terms:
- We already have [tex]\( 1 \)[/tex] in the expression,
- Plus the simplified fraction [tex]\( 0.5 \)[/tex],
- Plus the simplified mixed fraction [tex]\( 1.0357142857142858 \)[/tex],
- And finally, another [tex]\( 1 \)[/tex] at the end.
Next step, adding all these values together:
[tex]\[
1 + 0.5 + 1.0357142857142858 + 1 = 3.5357142857142856
\][/tex]
Therefore, the expression simplifies to:
The final answer is [tex]\(3.5357142857142856\)[/tex].
