Write the improper fractions given below as mixed fractions.
`679/(23)`

Answer

To convert the improper fraction \( \frac{679}{23} \) into a mixed fraction, follow these steps:

### Step 1: Divide the numerator by the denominator
We need to divide 679 by 23.

\[ 679 \div 23 \]

### Step 2: Calculate the quotient
Perform the division:

- 23 goes into 67 (the first two digits of 679) 2 times (since \( 23 \times 2 = 46 \)).
- Subtract \( 46 \) from \( 67 \):

\[ 67 - 46 = 21 \]

- Bring down the next digit (9), making it 219.

### Step 3: Continue the division
Now divide 219 by 23:

- 23 goes into 219 9 times (since \( 23 \times 9 = 207 \)).
- Subtract \( 207 \) from \( 219 \):

\[ 219 - 207 = 12 \]

### Step 4: Write the mixed fraction
Now we have:

- Quotient: \( 29 \) (from \( 2 \) and \( 9 \))
- Remainder: \( 12 \)
- Denominator: \( 23 \)

So, we can write the mixed fraction as:

\[ 29 \frac{12}{23} \]

### Final Answer
Thus, the improper fraction \( \frac{679}{23} \) as a mixed fraction is:

\[ 29 \frac{12}{23} \]

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