To solve the problem of adding the fractions [tex]\(\frac{4}{4} + \frac{5}{6}\)[/tex], we will use the following steps:
1. Simplify each fraction:
- [tex]\(\frac{4}{4}\)[/tex] simplifies to [tex]\(1\)[/tex].
2. Convert to a common denominator if necessary:
- [tex]\(\frac{5}{6}\)[/tex] is already in its simplest form.
3. Add the fractions:
- Notice that [tex]\(\frac{4}{4}\)[/tex] is the same as 1. So, we actually need to compute [tex]\(1 + \frac{5}{6}\)[/tex].
4. Convert the whole number to a fraction with a common denominator:
- To add these, it might be easier to think of [tex]\(1\)[/tex] as a fraction with a denominator of 6.
- So, we rewrite [tex]\(1\)[/tex] as [tex]\(\frac{6}{6}\)[/tex].
5. Add the fractions:
- Now, we can add [tex]\(\frac{6}{6} + \frac{5}{6}\)[/tex]:
[tex]\[
\frac{6}{6} + \frac{5}{6} = \frac{6 + 5}{6} = \frac{11}{6}
\][/tex]
6. Convert back to a mixed number if necessary:
- Since [tex]\(\frac{11}{6}\)[/tex] is an improper fraction, we can convert it to a mixed number:
[tex]\[
\frac{11}{6} = 1 \frac{5}{6}
\][/tex]
Therefore, the detailed solution shows that [tex]\(\frac{4}{4} + \frac{5}{6}\)[/tex] equals [tex]\(\frac{11}{6}\)[/tex] or [tex]\(1 \frac{5}{6}\)[/tex] as a mixed number.
For exact decimal equivalence from the result:
- [tex]\(1\)[/tex] is the decimal form of [tex]\(\frac{4}{4}\)[/tex].
- Approximately [tex]\(0.8333\dots\)[/tex] is the decimal form of [tex]\(\frac{5}{6}\)[/tex].
- Adding [tex]\(1 + 0.8333\dots\)[/tex] results in approximately [tex]\(1.8333\dots\)[/tex].
So, the final sum in decimal form is approximately [tex]\(1.8333\dots\)[/tex]
