Find the value of :
`3(1)/(2)%` of 500 grams

Answer

To find the value of \(3 \frac{1}{2}\%\) of 500 grams, we can follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
The mixed fraction \(3 \frac{1}{2}\) can be converted to an improper fraction.

\[ 3 \frac{1}{2} = \frac{(3 \times 2) + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2} \]

### Step 2: Express the percentage as a fraction
Now, we need to express \( \frac{7}{2}\% \) as a fraction.

\[ \frac{7}{2}\% = \frac{7}{2} \times \frac{1}{100} = \frac{7}{200} \]

### Step 3: Multiply by 500 grams
Now, we will find \( \frac{7}{200} \) of 500 grams. This means we need to multiply 500 grams by \( \frac{7}{200} \).

\[ \text{Value} = 500 \times \frac{7}{200} \]

### Step 4: Simplify the multiplication
We can simplify this calculation:

\[ 500 \times \frac{7}{200} = \frac{500 \times 7}{200} \]

Now, we can simplify \( \frac{500}{200} \):

\[ \frac{500}{200} = \frac{5}{2} \quad \text{(dividing both numerator and denominator by 100)} \]

Thus, we have:

\[ \frac{5}{2} \times 7 = \frac{35}{2} \]

### Step 5: Convert to a decimal or mixed number
Finally, we can convert \( \frac{35}{2} \) to a decimal or mixed number:

\[ \frac{35}{2} = 17.5 \quad \text{or} \quad 17 \frac{1}{2} \]

### Final Answer
The value of \(3 \frac{1}{2}\%\) of 500 grams is \(17.5\) grams or \(17 \frac{1}{2}\) grams.

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