Math Problem Statement

Give one more example of a fraction, or mixed number, whose decimal form repeats. Round the repeating decimal to the ten thousandths place.

Solution

One example of a fraction with a repeating decimal form is 56\frac{5}{6}.

To find its decimal form:

56=0.83333\frac{5}{6} = 0.83333\ldots

The decimal 0.833330.83333\ldots repeats with the digit 3.

Now, rounding it to the ten thousandths place:

0.833330.83330.83333 \approx 0.8333

Would you like to explore more about fractions and repeating decimals? Here are some related questions:

  1. What makes a fraction have a repeating decimal?
  2. How do you convert repeating decimals back into fractions?
  3. Can a fraction with a repeating decimal be expressed as a mixed number?
  4. What is an example of a fraction whose decimal terminates?
  5. How do you determine the length of a repeating sequence in a decimal?

Tip: A fraction will have a repeating decimal if its denominator has prime factors other than 2 or 5.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Repeating Decimals
Rounding

Formulas

Decimal representation of a fraction
Rounding to a specific decimal place

Theorems

Fractions with denominators that have prime factors other than 2 or 5 lead to repeating decimals.

Suitable Grade Level

Grades 6-8