Alright, let's find a way to decompose the fraction [tex]\(\frac{7}{6}\)[/tex] into smaller fractions that sum to [tex]\(\frac{7}{6}\)[/tex].
First, let’s decompose [tex]\(\frac{7}{6}\)[/tex] into two fractions, [tex]\(\frac{1}{6}\)[/tex] and [tex]\(\frac{6}{6}\)[/tex].
1. We start with [tex]\(\frac{7}{6}\)[/tex].
2. We can break it down into [tex]\(\frac{1}{6}\)[/tex] and [tex]\(\frac{6}{6}\)[/tex].
Now, let's write these fractions in the form of an addition equation:
[tex]\[
\frac{7}{6} = \frac{1}{6} + \frac{6}{6}
\][/tex]
Checking:
[tex]\[
\frac{1}{6} + \frac{6}{6} = \frac{1}{6} + 1 = \frac{1}{6} + \frac{6}{6} = \frac{7}{6}
\][/tex]
Thus, we can decompose [tex]\(\frac{7}{6}\)[/tex] as:
[tex]\[
\frac{7}{6} = \frac{1}{6} + 1
\][/tex]
Both [tex]\(\frac{1}{6}\)[/tex] and [tex]\(\frac{6}{6}\)[/tex] are fractions that combine to give us the original fraction [tex]\(\frac{7}{6}\)[/tex].
