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Step 1:I'll solve this step-by-step, converting the decimal to a fraction:
Step 2:: Identify the decimal
The decimal is $$0.6875
Step 3:: Convert to a fraction by multiplying by a power of 10
0.6875 = \frac{6875}{10000}
Step 4:: Simplify the fraction by finding the greatest common divisor (GCD)
The GCD of 6875 and 10000 is 625
Step 5:: Divide both numerator and denominator by the GCD
\frac{6875}{10000} = \frac{6875 \div 625}{10000 \div 625} = \frac{11}{16}
Final Answer
Key Insights: - To convert a decimal to a fraction, multiply by a power of 10 to make it a whole number - Simplify by dividing both numerator and denominator by their greatest common divisor - Always reduce the fraction to its simplest form
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