Answer
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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Convert the decimal to a fraction
0.75 = \frac{75}{100}
To convert 0.75 to a fraction, we first recognize that 0.75 has two decimal places. This means we'll multiply by 100 to move the decimal point:
Step 3:: Simplify the fraction
To simplify, we need to find the greatest common factor (GCF) of 75 and 100: - Factors of 75: 1, 3, 5, 15, 25, 75 - Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100 - The greatest common factor is 25
Step 4:: Divide both numerator and denominator by the GCF
\frac{75 \div 25}{100 \div 25} = \frac{3}{4}
Final Answer
\frac{3}{4}
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