Question

100·(x) 100·(0.\overline{92})
100x = 92.\overline{92}

• x - 0.\overline{92}

\frac{99x}{99} = \frac{92}{99}
x = \square
options: \frac{92}{99}, \frac{99}{92}, \frac{100}{92}

Explanation:

Step1: Simplify the equation

We have the equation \(\frac{99x}{99}=\frac{92}{99}\). When we divide both sides by 99, the left - hand side simplifies because \(\frac{99x}{99}\) is just \(x\) (since any non - zero number divided by itself is 1, and \(99
eq0\), so \(\frac{99x}{99}=x\times\frac{99}{99}=x\times1 = x\)).

Step2: Determine the value of \(x\)

Since \(\frac{99x}{99}=\frac{92}{99}\) and \(\frac{99x}{99}=x\), then \(x = \frac{92}{99}\).

Answer:

\(\frac{92}{99}\)