Math Problem Statement

Convert the decimal 0.12 to a fraction in simplest form.

Solution

The problem in the image asks to convert the decimal 0.12 to a fraction in its simplest form.

Steps to Convert:

  1. Write the decimal as a fraction: 0.12=121000.12 = \frac{12}{100} This is because 0.12 means 12 hundredths.

  2. Simplify the fraction: Find the greatest common divisor (GCD) of 12 and 100. The GCD is 4.

    Now, 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}

Final Answer:

The simplest form of 0.12 as a fraction is: 325\frac{3}{25}

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Greatest Common Divisor (GCD)
Simplification

Formulas

GCD(a, b)
Decimal to Fraction Conversion

Theorems

Simplification using GCD

Suitable Grade Level

Grades 6-8