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Convert 
(10)/(9) into a mixed number.

Convert 109 \frac{10}{9} into a mixed number.

Full solution

Q. Convert 109 \frac{10}{9} into a mixed number.
  1. Divide numerator by denominator: Determine how many times the denominator goes into the numerator.\newlineIn this case, we need to see how many times 99 can go into 1010 without exceeding it.\newline1010 divided by 99 is 11 with a remainder of 11.
  2. Write whole number part: Write the whole number part of the mixed number.\newlineThe whole number part is the number of times the denominator went into the numerator, which is 11.
  3. Write fractional part: Write the fractional part of the mixed number.\newlineThe fractional part is the remainder over the original denominator.\newlineThe remainder is 11, and the original denominator is 99, so the fractional part is 19\frac{1}{9}.
  4. Combine whole and fractional parts: Combine the whole number and the fractional parts to form the mixed number. The mixed number is the whole number part followed by the fractional part. So, the mixed number is 119.1\frac{1}{9}.

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