Write the following divisions as fractions.
b. `15 div 8=` __________

Answer

To write the division \( 15 \div 8 \) as a fraction, we can follow these steps:

### Step 1: Write the division as a fraction
We start with the division \( 15 \div 8 \). To express this as a fraction, we write the numerator (the number being divided) over the denominator (the number we are dividing by).

So, we can write:
\[ 15 \div 8 = \frac{15}{8} \]

### Step 2: Check if the fraction can be simplified
Next, we check if the fraction \( \frac{15}{8} \) can be simplified. We look for any common factors between the numerator and the denominator.

- The factors of 15 are: 1, 3, 5, 15
- The factors of 8 are: 1, 2, 4, 8

Since there are no common factors other than 1, the fraction cannot be simplified further.

### Step 3: Convert to a mixed number (optional)
If we want to convert \( \frac{15}{8} \) into a mixed number, we divide 15 by 8.

- \( 15 \div 8 = 1 \) (since 8 goes into 15 one time)
- The remainder is \( 15 - 8 \times 1 = 7 \)

Thus, we can express \( \frac{15}{8} \) as a mixed number:
\[ 1 \frac{7}{8} \]

### Final Answer
The division \( 15 \div 8 \) can be expressed as the fraction \( \frac{15}{8} \) or as the mixed number \( 1 \frac{7}{8} \).

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