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Solve for [tex]\( x \)[/tex].

[tex]\[ 3x = 6x - 2 \][/tex]


Sagot :

To solve the fraction [tex]\(\frac{2}{3}\)[/tex], we'll find its decimal representation.

Step-by-Step Solution:

1. Understand the Fraction: [tex]\(\frac{2}{3}\)[/tex] represents dividing the numerator, which is 2, by the denominator, which is 3.

2. Perform Division: To convert this fraction to a decimal, divide 2 by 3 using long division or a calculator.

3. Result: The result of dividing 2 by 3 gives us a repeating decimal. Specifically,
[tex]\[ \frac{2}{3} \approx 0.6666666666666666 \][/tex]
where the digit 6 repeats indefinitely.

Therefore, the decimal representation of the fraction [tex]\(\frac{2}{3}\)[/tex] is approximately [tex]\(0.6666666666666666\)[/tex]. This can also be expressed as [tex]\(0.\overline{6}\)[/tex], indicating that the digit 6 repeats infinitely.
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