Express the following percentages as decimals :
`7(1)/(2)%`

Answer

To express the percentage \( 7\frac{1}{2}\% \) as a decimal, follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
The mixed fraction \( 7\frac{1}{2} \) can be converted to an improper fraction.

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

### Step 2: Remove the percentage sign
To convert a percentage to a decimal, we divide the fraction by 100.

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

### Step 3: Simplify the fraction
Now, we can simplify \( \frac{15}{200} \).

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

### Step 4: Convert the fraction to a decimal
To convert \( \frac{3}{40} \) to a decimal, we can perform the division:

\[ 3 \div 40 = 0.075 \]

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

\[ 0.075 \]

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