To solve the fraction [tex]\(\frac{7}{6}\)[/tex] and express it as a decimal, we can follow these steps:
1. Understand the Fraction:
The fraction [tex]\(\frac{7}{6}\)[/tex] means we are dividing 7 by 6.
2. Perform the Division:
When we divide 7 by 6, we get a decimal value.
3. Interpret the Division Result:
By dividing 7 by 6, we find that the result is:
[tex]\[ \frac{7}{6} \approx 1.1666666666666667 \][/tex]
This value represents the decimal equivalent of the fraction [tex]\(\frac{7}{6}\)[/tex].
4. Matching the Result:
You mentioned a numerical result of [tex]\(1.1666666687\)[/tex]. Notice the given result [tex]\(1.1666666666666667\)[/tex] approximates to many decimal places and naturally extends just beyond the usual rounding points.
Therefore, the decimal value of [tex]\(\frac{7}{6}\)[/tex] is approximately [tex]\(1.1666666666666667\)[/tex].