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QuestionMathematics

What is 0.65 as a fraction in simplest form?
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Answer

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Step 1:
I'll solve this step-by-step using precise LaTeX formatting:

Step 2:
: Convert the decimal to a fraction

0.65 = \frac{65}{100}
To convert 0.65 to a fraction, we first recognize that 0.65 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 65 and 100. The factors of 65 are: 1, 5, 13, 65 The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100 The greatest common factor is 5.

Step 4:
: Divide both numerator and denominator by the GCF

\frac{65 \div 5}{100 \div 5} = \frac{13}{20}

Final Answer

\frac{13}{20}