Math Problem Statement

Write 4/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Solution

The given question asks to convert the fraction 49\frac{4}{9} into its decimal form, and if necessary, use a bar to indicate repeating digits.

Let's perform the division of 4 by 9:

4÷9=0.44444 \div 9 = 0.4444\ldots

The digit 4 repeats indefinitely, so the decimal representation of 49\frac{4}{9} is:

0.40.\overline{4}

The bar (overline) is placed over the repeating digit 4 to indicate that it repeats infinitely.

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:

  1. How can you convert any fraction to a decimal?
  2. What is a repeating decimal, and how do you represent it?
  3. How can you identify if a decimal is terminating or repeating?
  4. What are some examples of fractions with non-repeating decimals?
  5. Can repeating decimals always be written as fractions?

Tip: You can always determine if a fraction results in a repeating decimal by checking the denominator—if it has factors other than 2 and 5, the decimal will repeat.

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Math Problem Analysis

Mathematical Concepts

Fractions
Division
Decimals
Repeating Decimals

Formulas

Long division to convert fraction to decimal

Theorems

Repeating decimal notation

Suitable Grade Level

Grades 6-8