To convert the decimal 6.66 to a mixed number, follow these steps:

  1. Identify the whole number part: The whole number part of 6.66 is 6.
  2. Convert the decimal part: The decimal 0.66 needs to be converted to a fraction.
  3. Write 0.66 as a fraction: Notice that 0.66 can be written as 66/100 because there are two digits after the decimal point.
  4. Simplify the fraction: Both the numerator (66) and the denominator (100) can be divided by 2. Doing this, we get:
    • 66 ÷ 2 = 33
    • 100 ÷ 2 = 50
  5. So, 0.66 = 33/50.
  6. Combine the whole number and the fraction: Now, we can combine the whole number and the simplified fraction to express 6.66 as a mixed number.
  7. The final mixed number is 6 33/50.

Therefore, the decimal 6.66 as a mixed number is 6 33/50.


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