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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Identify the decimal
The decimal number is $$1.625
Step 3:: Convert to a fraction
1.625 = \frac{1.625}{1}
To convert a decimal to a fraction, we need to multiply by a power of 10 to remove the decimal point:
Step 4:: Multiply by appropriate power of 10
1.625 = \frac{1.625 \times 1000}{1 \times 1000} = \frac{1625}{1000}
Step 5:: Simplify the fraction
- The GCD is $$125
To simplify, we'll find the greatest common divisor (GCD) of 1625 and 1000:
Step 6:: Divide both numerator and denominator by the GCD
\frac{1625 \div 125}{1000 \div 125} = \frac{13}{8}
Final Answer
1.625 = \frac{13}{8}
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