Subjects algebra

Fraction Decimal

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Fraction Decimal


1. **State the problem:** Convert the fraction $\frac{128}{495}$ into its decimal form. 2. **Understand what is asked:** We want to divide 128 by 495 to get a decimal number. 3. **Perform the division:** Divide 128 by 495 using long division or a calculator: $$\frac{128}{495} = 0.2585858\ldots$$ 4. **Identify decimal nature:** Notice the repeating pattern "58" after the initial "0.2", thus the decimal is a repeating decimal. 5. **Write the decimal with notation:** $$0.2\overline{58}$$ This means the digits "58" repeat indefinitely after the decimal point. **Final answer:** The fraction $\frac{128}{495}$ as a decimal is approximately $0.2585858\ldots$, or exactly $0.2\overline{58}$.