Write 188% as a fraction or mixed number in simplest form.
The correct answer and explanation is:
Answer:
188% as a fraction in simplest form is: 4725\frac{47}{25}
As a mixed number, it is: 122251\frac{22}{25}
Explanation (300 words):
To convert a percentage like 188% into a fraction or mixed number in simplest form, follow these steps:
Step 1: Understand what a percent means
Percent means “per hundred.” So, 188% is equal to: 188%=188100188\% = \frac{188}{100}
This is the first step—rewriting the percent as a fraction with 100 as the denominator.
Step 2: Simplify the fraction
Now simplify 188100\frac{188}{100} by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 188 and 100 is 4.
So, divide both numbers by 4: 188÷4100÷4=4725\frac{188 \div 4}{100 \div 4} = \frac{47}{25}
So, 188% as a fraction in simplest form is: 4725\frac{47}{25}
Step 3: Convert to a mixed number (if needed)
A mixed number is a whole number combined with a proper fraction.
To convert 4725\frac{47}{25} into a mixed number:
- Divide 47 by 25.
- 25 goes into 47 once, with a remainder of 47−25=2247 – 25 = 22.
So: 4725=12225\frac{47}{25} = 1\frac{22}{25}
Thus, 188% as a mixed number is: 122251\frac{22}{25}
Summary
- 188% as a fraction: 4725\frac{47}{25}
- 188% as a mixed number: 122251\frac{22}{25}
This process of converting a percent to a fraction involves expressing the percent as a ratio over 100, simplifying the fraction using the GCD, and optionally converting the result to a mixed number. This is a useful skill in real-world applications like budgeting, measuring, or interpreting data.