`6 1/4`% experssed as a fraction is

Options

A. `1/8`
B. `1/16`
C. `4/25`
D. `1/25`

Answer

To express `6 1/4`% as a fraction, follow these steps:

### Step 1: Convert the mixed number to an improper fraction.
The mixed number `6 1/4` can be converted to an improper fraction. To do this, multiply the whole number (6) by the denominator (4) and add the numerator (1).

\[ 6 \times 4 + 1 = 24 + 1 = 25 \]

So, `6 1/4` can be expressed as:

\[ \frac{25}{4} \]

### Step 2: Write the percentage as a fraction.
Now, since we are dealing with a percentage, we need to express `6 1/4`% as a fraction. Recall that percent means "per hundred," so we can write:

\[ \frac{25}{4} \text{ percent} = \frac{25}{4} \times \frac{1}{100} \]

### Step 3: Multiply the fractions.
Now, we multiply the fractions:

\[ \frac{25 \times 1}{4 \times 100} = \frac{25}{400} \]

### Step 4: Simplify the fraction.
Next, we simplify the fraction `\frac{25}{400}`. We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 25:

\[ \frac{25 \div 25}{400 \div 25} = \frac{1}{16} \]

### Final Answer:
Thus, `6 1/4`% expressed as a fraction is:

\[ \frac{1}{16} \]

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