Answer
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Step 1:I'll solve this problem step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Understanding the Task
To convert 9.6 to a fraction, we need to express it as a ratio of two integers.
Step 3:: Identify the Decimal
The number is $$9.6$$, which has one decimal place.
Step 4:: Convert to Fraction
9.6 = \frac{96}{10}
To convert a decimal to a fraction, multiply by a power of 10 to make it a whole number:
Step 5:: Simplify the Fraction
\frac{96}{10} = \frac{96 \div 2}{10 \div 2} = \frac{48}{5}
Divide both numerator and denominator by their greatest common factor (GCF): The GCF of 96 and 10 is 2.
Final Answer
Key Insights: - To convert a decimal to a fraction, multiply by a power of 10 to remove the decimal point - Always simplify the resulting fraction by dividing both numerator and denominator by their greatest common factor
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