Convert the following percentages into fractions:
`7(1)/(2)%`

Answer

To convert the percentage \( 7\frac{1}{2}\% \) into a fraction, we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The percentage \( 7\frac{1}{2} \) can be converted into an improper fraction.
To do this, we multiply the whole number (7) by the denominator (2) and then add the numerator (1).

\[ 7\frac{1}{2} = \frac{(7 \times 2) + 1}{2} = \frac{14 + 1}{2} = \frac{15}{2} \]

### Step 2: Write the percentage as a fraction
Now, we express \( \frac{15}{2} \% \) as a fraction. To convert a percentage to a fraction, we divide by 100.

\[ \frac{15}{2} \% = \frac{15}{2} \times \frac{1}{100} = \frac{15}{200} \]

### Step 3: Simplify the fraction
Next, we simplify \( \frac{15}{200} \). We can find the greatest common divisor (GCD) of 15 and 200, which is 5.

Now, we divide both the numerator and the denominator by their GCD:

\[ \frac{15 \div 5}{200 \div 5} = \frac{3}{40} \]

### Final Answer
Thus, \( 7\frac{1}{2}\% \) as a fraction is:

\[ \frac{3}{40} \]

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