$0 . \overline{54}$ as a fraction in lowest terms.

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∻Solution by Steps∻ ‖ step 1 ⋮ Let's denote the repeating decimal $0.\overline{54}$ as $x$. ‖ ‖ step 2 ⋮ Write $x$ as $0.545454...$. ‖ ‖ step 3 ⋮ Multiply $x$ by 100 to shift the decimal two places to the right: $100x = 54.545454...$. ‖ ‖ step 4 ⋮ Subtract the original $x$ from $100x$: $100x - x = 54.545454... - 0.545454...$. ‖ ‖ step 5 ⋮ Simplify the subtraction to find $99x = 54$. ‖ ‖ step 6 ⋮ Divide both sides by 99 to solve for $x$: $x = \frac{54}{99}$. ‖ ‖ step 7 ⋮ Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is 9: $x = \frac{54 \div 9}{99 \div 9}$. ‖ ‖ step 8 ⋮ The fraction in lowest terms is $x = \frac{6}{11}$. ‖ ∻Answer∻ ⚹ $\frac{6}{11}$ ⚹ ∻Key Concept∻ ⚹Converting repeating decimals to fractions⚹ ∻Explanation∻ ⚹To convert a repeating decimal to a fraction, express the repeating decimal as a variable, manipulate the equation to isolate the repeating part, and then solve for the variable to find the fraction in lowest terms.⚹◊What is the fraction form of $0.\overline{54}$ in lowest terms?⍭ Generate me a similar question◊

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