Converting 1-digit repeating decimals to fractions
Converting repeating decimals to fractions 2 256
Exercise Name: Converting 1-digit repeating decimals to fractions
Math Missions: 8th grade (U.S.) Math Mission, Algebra I Math Mission
Types of Problems: 1

The Converting 1-digit repeating decimals to fractions exercise appears under the 8th grade (U.S.) Math Mission and Algebra I Math Mission. This exercise practices converting between repeating decimals and their corresponding fraction form.

Types of Problems

There is one type of problem in this exercise:

  1. Change into a fraction: This problem provides a repeating decimal. The student is asked to take the repeating decimal and change it into a fraction.

    Change into a fraction


Knowing how to convert quickly from fractions into decimal can provide insight here for how to work backwards.

  1. A decimal that repeats over one spot will be an "over nine" answer. For example, 0.222222... is \frac{2}{9}.
  2. The fraction answers need to be simplified, so \frac{1}{3} is correct but \frac{3}{9} is not.

Real-life Applications

  1. Connections between fractions and decimals help in many scientific approximation applications.
  2. Decimals appear in every-day media to display information to consumers.
  3. Decimals are very common in shopping. Price tags, food labels, and receipts all contain decimals.
  4. At gas pumps, decimals are used to show how much gas is pumped and much it costs per gallon.

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