To convert the decimal number 3.45 into a mixed number, follow these steps:

  1. Identify the whole number: The whole number part of 3.45 is 3.
  2. Convert the decimal part to a fraction: The decimal part is .45. This can be expressed as 45/100.
  3. Simplify the fraction: Divide both the numerator and denominator by their greatest common factor, which in this case is 5. So:
    • 45 ÷ 5 = 9
    • 100 ÷ 5 = 20
  4. Thus, .45 can be simplified to 9/20.
  5. Combine the whole number and the fraction: Now we can write the mixed number as:
    • 3 9/20

So, the decimal 3.45 expressed as a mixed number is 3 9/20.


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