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Step 1:I'll solve this step-by-step using precise LaTeX formatting:
Step 2:: Identify the decimal
The decimal number is $$0.62
Step 3:: Understand the conversion method
To convert a decimal to a fraction, we need to: - Multiply the decimal by a power of 10 to make it a whole number - Create a fraction with this whole number over the corresponding power of 10
Step 4:: Multiply by 100 to remove decimal places
0.62 \times 100 = 62
Step 5:: Create the fraction
\frac{62}{100}
Step 6:: Simplify the fraction
\frac{62 \div 2}{100 \div 2} = \frac{31}{50}
To simplify, find the greatest common factor (GCF) of 62 and 100 - The GCF is 2 - Divide both numerator and denominator by 2
Final Answer
0.62 = \frac{31}{50}
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