Math Problem Statement

Turn 0.2 to a fraction

Solution

To convert 0.20.2 to a fraction:

  1. Recognize that 0.20.2 is in the tenths place, so it can be written as: 0.2=2100.2 = \frac{2}{10}

  2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2: 210=2÷210÷2=15\frac{2}{10} = \frac{2 \div 2}{10 \div 2} = \frac{1}{5}

So, 0.20.2 as a fraction is 15\frac{1}{5}.

Would you like more details on this process or have any questions?


Here are some related questions you might be interested in:

  1. How do you convert other decimals like 0.250.25 or 0.750.75 to fractions?
  2. How do you add or subtract fractions with different denominators?
  3. How can you convert a repeating decimal to a fraction?
  4. What are some real-world applications of fractions?
  5. How do you convert a fraction back into a decimal?

Tip: When converting decimals to fractions, always check if the fraction can be simplified further.

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Math Problem Analysis

Mathematical Concepts

Decimals
Fractions
Simplification

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6