Simplify
`15 div3/17`

Answer

To simplify the expression \( 15 \div \frac{3}{17} \), we can follow these steps:

### Step 1: Rewrite the Division of a Fraction
The expression \( 15 \div \frac{3}{17} \) can be rewritten using the property of division of fractions. This property states that dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as:
\[ 15 \div \frac{3}{17} = 15 \times \frac{17}{3} \]

### Step 2: Convert 15 to a Fraction
Next, we can express 15 as a fraction. We can write it as:
\[ 15 = \frac{15}{1} \]
So now our expression looks like this:
\[ \frac{15}{1} \times \frac{17}{3} \]

### Step 3: Multiply the Fractions
Now we can multiply the two fractions together. The rule for multiplying fractions is to multiply the numerators together and the denominators together:
\[ \frac{15 \times 17}{1 \times 3} \]

### Step 4: Calculate the Numerator and Denominator
Calculating the numerator:
\[ 15 \times 17 = 255 \]
Calculating the denominator:
\[ 1 \times 3 = 3 \]
So now we have:
\[ \frac{255}{3} \]

### Step 5: Simplify the Fraction
Finally, we simplify \( \frac{255}{3} \) by performing the division:
\[ 255 \div 3 = 85 \]

### Final Answer
Thus, the simplified form of \( 15 \div \frac{3}{17} \) is:
\[ \boxed{85} \]

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