Write 79% as a fraction or mixed number in simplest form.
The Correct Answer and Explanation is :
To convert 79% to a fraction or mixed number in simplest form, follow these steps:
Step 1: Express 79% as a fraction.
Percent means “per hundred,” so 79% is the same as:
[
79\% = \frac{79}{100}
]
This is the initial fractional form of 79%.
Step 2: Simplify the fraction.
Next, we need to simplify (\frac{79}{100}). Simplifying a fraction involves dividing both the numerator and the denominator by their greatest common divisor (GCD). To find the GCD of 79 and 100, note the following:
- 79 is a prime number, meaning it only has two factors: 1 and 79.
- 100 can be factored into prime numbers: (100 = 2^2 \times 5^2).
Since 79 does not share any common factors with 100, the greatest common divisor is 1.
Thus, (\frac{79}{100}) is already in its simplest form, and no further simplification is necessary.
Step 3: Convert to a mixed number (if necessary).
Since 79 is less than 100, (\frac{79}{100}) is already a proper fraction and cannot be converted into a mixed number. If the numerator had been larger than 100, then we would divide the numerator by the denominator to express the fraction as a mixed number. However, in this case, we keep it as (\frac{79}{100}).
Final Answer:
So, 79% as a fraction in simplest form is:
[
\frac{79}{100}
]
This is the correct and simplest form of 79% as a fraction.