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QuestionMathematics

What is 0.04 converted to a fraction in simplest form?
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Answer

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Step 1:
I'll solve this step-by-step using precise LaTeX formatting:

Step 2:
: Identify the decimal

The decimal is $$0.04

Step 3:
: Convert decimal to fraction

0.04 = \frac{4}{100}
To convert a decimal to a fraction, we need to multiply by a power of 10 to make it a whole number

Step 4:
: Simplify the fraction

\frac{4}{100} = \frac{4 \div 4}{100 \div 4} = \frac{1}{25}
Divide both numerator and denominator by their greatest common factor (GCF) The GCF of 4 and 100 is 4

Final Answer

Key Insights: - To convert a decimal to a fraction, multiply by an appropriate power of 10 - Always simplify the resulting fraction to its lowest terms - The process involves finding the greatest common factor (GCF) and dividing both numerator and denominator by it