Convert 76% into fraction.

Options

A. `(19)/(25)`
B. `(17)/(25)`
C. `(13)/(17)`
D. `(19)/(23)`

Answer

To convert 76% into a fraction, follow these steps:

### Step 1: Understand the meaning of percentage
Percentage means "per hundred." Therefore, 76% can be expressed as 76 per 100.

### Step 2: Write the percentage as a fraction
We can write 76% as:
\[ \frac{76}{100} \]

### Step 3: Simplify the fraction
To simplify the fraction \(\frac{76}{100}\), we need to find the greatest common divisor (GCD) of the numerator (76) and the denominator (100).

### Step 4: Find the GCD
The factors of 76 are 1, 2, 4, 19, 38, and 76.
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
The greatest common factor is 4.

### Step 5: Divide both the numerator and denominator by the GCD
Now, we divide both the numerator and the denominator by 4:
\[ \frac{76 \div 4}{100 \div 4} = \frac{19}{25} \]

### Step 6: Write the final answer
Thus, the fraction representation of 76% is:
\[ \frac{19}{25} \]

### Final Answer:
The fraction equivalent of 76% is \(\frac{19}{25}\).

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