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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the decimal number
The decimal number is $$0.725
Step 3:: Convert the decimal to a fraction
0.725 = \frac{725}{10^{3}} = \frac{725}{1000}
To convert a decimal to a fraction, we can use the following method: - Count the number of decimal places (in this case, 3) - Write the number over a power of 10 with the same number of zeros
Step 4:: Simplify the fraction
To simplify, we need to find the greatest common factor (GCF) of 725 and 1000 - Factors of 725: 1, 5, 25, 29, 145, 725 - Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000 - The greatest common factor is 25
Step 5:: Divide both numerator and denominator by the GCF
\frac{725 \div 25}{1000 \div 25} = \frac{29}{40}
Final Answer
0.725 = \frac{29}{40}
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