Answer:
The fraction is \(\frac{7}{6}\)
Step-by-step explanation:
we have
\(1.166666666...\)
This is a repeating decimal
Convert to fraction number
Let
\(x=1.1666666...\)
\(10x=11.6666666...\)
\(100x=116.666666...\)
\(100x-10x=116.666...-11.666...\)
\(90x=105\)
Solve for x
Divide by 90 both sides
\(x=\frac{105}{90}\)
Simplify
Divide both numerator and denominator by 15
\(x=\frac{7}{6}\)
