Math Problem Statement

Convert the decimal 0.12 to a fraction in simplest form.

Solution

The image shows a question asking to convert the decimal 0.120.12 into a fraction in its simplest form.

To solve this:

  1. Write the decimal as a fraction: 0.12=121000.12 = \frac{12}{100}

  2. Simplify the fraction: The greatest common divisor (GCD) of 12 and 100 is 4. Divide both the numerator and the denominator by 4: 12100=12÷4100÷4=325\frac{12}{100} = \frac{12 \div 4}{100 \div 4} = \frac{3}{25}

Thus, the decimal 0.120.12 as a fraction in its simplest form is: 325\boxed{\frac{3}{25}}

Would you like more details on this process? Here are 5 related questions for practice:

  1. How do you convert 0.750.75 into a fraction?
  2. What is (

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Simplification

Formulas

Fraction = Decimal / 1
Simplified Fraction = GCD(Numerator, Denominator)

Theorems

Simplification of Fractions

Suitable Grade Level

Grades 5-7