Change the following improper fracton to mixed numbers :
`(100)/(11)`

Answer

To convert the improper fraction \( \frac{100}{11} \) into a mixed number, we can follow these steps:

### Step 1: Perform the Division
Divide the numerator (100) by the denominator (11).

\[ 100 \div 11 = 9 \quad \text{(quotient)} \]

### Step 2: Calculate the Remainder
Now, calculate the remainder of this division.

\[ 100 - (11 \times 9) = 100 - 99 = 1 \quad \text{(remainder)} \]

### Step 3: Write the Mixed Number
Now that we have the quotient and the remainder, we can write the mixed number. The mixed number consists of the quotient, the remainder, and the original denominator.

\[ \text{Mixed Number} = 9 \frac{1}{11} \]

### Final Answer
Thus, the improper fraction \( \frac{100}{11} \) can be expressed as the mixed number \( 9 \frac{1}{11} \).

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