convert the following fractions into percentages ,
`1(1)/(4)`

Answer

To convert the mixed fraction \(1 \frac{1}{4}\) into a percentage, follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
A mixed fraction consists of a whole number and a proper fraction. To convert \(1 \frac{1}{4}\) into an improper fraction, you multiply the whole number by the denominator and add the numerator.

\[ 1 \frac{1}{4} = \frac{(1 \times 4) + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4} \]

### Step 2: Convert the improper fraction to a percentage
To convert a fraction to a percentage, you multiply the fraction by 100.

\[ \frac{5}{4} \times 100 \]

### Step 3: Simplify the multiplication
To simplify the multiplication, you can multiply the numerator by 100 and then divide by the denominator.

\[ \frac{5 \times 100}{4} = \frac{500}{4} \]

### Step 4: Perform the division
Now, divide 500 by 4.

\[ 500 \div 4 = 125 \]

### Step 5: Write the final answer
Thus, the percentage equivalent of \(1 \frac{1}{4}\) is:

\[ 125\% \]

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