Express each of the following as a decimal :
`26(1)/(2)%`

Answer

To express \( 26\frac{1}{2}\% \) as a decimal, follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 26\frac{1}{2} \) can be converted to an improper fraction.
To do this, multiply the whole number (26) by the denominator (2) and add the numerator (1):
\[ 26\frac{1}{2} = \frac{26 \times 2 + 1}{2} = \frac{52 + 1}{2} = \frac{53}{2} \]

### Step 2: Convert the percentage to a fraction
Now, we need to express \( \frac{53}{2}\% \) as a fraction. Recall that percentage means "per hundred," so we can write:
\[ \frac{53}{2}\% = \frac{53}{2} \times \frac{1}{100} = \frac{53}{200} \]

### Step 3: Convert the fraction to a decimal
To convert \( \frac{53}{200} \) to a decimal, divide the numerator (53) by the denominator (200):
\[ \frac{53}{200} = 53 \div 200 = 0.265 \]

### Final Answer
Thus, \( 26\frac{1}{2}\% \) expressed as a decimal is:
\[ 0.265 \]

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