Converting 47.075 to a Mixed Number for an 18-Year-Old Student

A clear, step-by-step explanation on how to convert a decimal number into a mixed number, tailored for an 18-year-old student.

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Steps to Convert 47.075 to a Mixed Number

To convert a decimal number into a mixed number, follow these steps:

  1. Identify the whole number part: The number 47.075 has a whole number part, which is 47.
  2. Convert the decimal part: The decimal part is 0.075. To convert this into a fraction, recognize that 0.075 is equal to 75/1000.
  3. Simplify the fraction: To simplify 75/1000, find the greatest common divisor (GCD) of 75 and 1000. The GCD is 25. Now divide both the numerator and denominator by 25:
    • 75 ÷ 25 = 3
    • 1000 ÷ 25 = 40
  4. This simplification gives us the fraction 3/40.
  5. Combine parts: Now that we have both parts, we write the mixed number as 47 3/40.

Final Answer

The mixed number for 47.075 is 47 3/40.

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