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Which decimal is equivalent to ?Choose answer:(A) .(B) .(C) (D)
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Q. Which decimal is equivalent to ?Choose answer:(A) .(B) .(C) (D)
- Understand the Problem: Understand the problem. We need to find the decimal equivalent of the fraction .
- Convert to Decimal: Convert the fraction to a decimal.To convert the fraction to a decimal, we can perform long division where is the dividend and is the divisor.
- Perform Long Division: Perform the long division.When we divide by , we get with a remainder of . We then add a decimal point and a zero to the remainder to continue the division. Dividing by gives us with a remainder of again. This process will repeat indefinitely, giving us a repeating decimal.
- Identify Repeating Pattern: Identify the repeating pattern.Since the remainder keeps repeating after the decimal point, we have a repeating decimal. The digit will repeat indefinitely, so the decimal equivalent of is , which can be written as .
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