Identify whole and decimal parts: To express 6.83 as a mixed number, we first identify the whole number part and the decimal part. The whole number part is the number to the left of the decimal point, which is 6. The decimal part is the number to the right of the decimal point, which is .83.
Express decimal as fraction: Next, we need to express the decimal part as a fraction. Since .83 has two digits after the decimal point, we can write it over 100 to convert it into a fraction. So, .83 is equivalent to 10083.
Simplify fraction: Now, we simplify the fraction 10083 if possible. However, 83 and 100 have no common factors other than 1, so the fraction is already in its simplest form.
Combine whole number and fraction: Finally, we combine the whole number part with the simplified fraction to write the mixed number. The mixed number is 6 and 10083.
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