QQuestionMathematics
QuestionMathematics
Express 3.28 in the simplest form p/q (where q ≠ 0).
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Answer
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Step 1:I'll solve this step-by-step, carefully following the LaTeX formatting guidelines:
Step 2:: Recognize that 3.28 is a decimal number that needs to be converted to a fraction.
Step 3:: To convert a decimal to a fraction, first count the number of decimal places.
- 3.28 has two decimal places
Step 4:: Multiply the number by 10^{2} to remove the decimal point.
3.28 \times 10^{2} = 328
Step 5:: Set up the fraction with the new numerator and denominator.
\frac{328}{100}
Step 6:: Simplify the fraction by finding the greatest common divisor (GCD).
- The GCD of 328 and 100 is 4
Step 7:: Divide both numerator and denominator by the GCD.
\frac{328 \div 4}{100 \div 4} = \frac{82}{25}
Final Answer
\frac{82}{25}
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