Math Problem Statement

Write 11/18 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Solution

To write 1118\frac{11}{18} as a decimal, we'll perform the division 11÷1811 \div 18.

Let's calculate:

  1. Divide 11 by 18: 11÷18=0.61111111 \div 18 = 0.611111\ldots The result is 0.6111110.611111\ldots, where the digit "1" repeats indefinitely.

  2. Expressing the decimal: Since the digit "1" repeats, we can write the decimal as: 0.610.6\overline{1} The bar over the "1" indicates that it repeats.

Therefore, 1118\frac{11}{18} as a decimal is 0.610.6\overline{1}.

Would you like further details or have any questions?

Here are some related questions to consider:

  1. What is 1118\frac{11}{18} as a percentage?
  2. How can you identify the repeating digit in a decimal without performing long division?
  3. What is the decimal representation of 56\frac{5}{6}?
  4. How do you convert a repeating decimal like 0.610.6\overline{1} back into a fraction?
  5. Why do some fractions result in repeating decimals while others do not?

Tip: Remember, if a fraction's denominator is composed of factors other than 2 or 5, the decimal will repeat.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimal representation
Repeating decimals

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8