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Step 1:I'll solve this step-by-step, following the LaTeX formatting guidelines precisely:
Step 2:: Identify the decimal
The decimal number is $$0.825
Step 3:: Convert to fraction
0.825 = \frac{825}{10^{3}} = \frac{825}{1000}
To convert a decimal to a fraction, we can use the following method: - Count the number of decimal places (in this case, 3)
Step 4:: Simplify the fraction
\frac{825}{1000} = \frac{825 \div 25}{1000 \div 25} = \frac{33}{40}
To simplify, we need to find the greatest common factor (GCF) of 825 and 1000 - The GCF is 25 - Divide both numerator and denominator by 25
Final Answer
0.825 = \frac{33}{40}
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