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Step 1:I'll solve this step-by-step using precise LaTeX formatting:
Step 2:: Understand the Problem
The goal is to convert the decimal 0.03125 into its equivalent fractional representation.
Step 3:: Identify the Decimal Characteristics
- The decimal has 5 digits after the decimal point - This suggests we'll need to multiply by a power of 10 to convert to a whole number
Step 4:: Convert to Fraction
- Multiply the decimal by $$10^{5}$$ to shift the decimal point
0.03125 \times 10^{5} = 3125
Step 5:: Create the Fraction
\frac{3125}{100000}
- The numerator is 3125
Step 6:: Simplify the Fraction
\frac{3125}{100000} = \frac{1}{32}
- Find the greatest common factor of 3125 and 100,000 - Both are divisible by 3125
Final Answer
0.03125 = \frac{1}{32}
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