what is 30% as a fraction in simplest form.
The correct answer and explanation is:
Correct Answer:
30% as a fraction in simplest form is 3/10.
Explanation (300 words):
To convert a percentage to a fraction, follow these steps:
- Understand what percent means
The word percent literally means “per hundred.” So, 30% means “30 out of 100” or: 30100\frac{30}{100} - Simplify the fraction
To simplify 30100\frac{30}{100}, you divide both the numerator (top number) and denominator (bottom number) by their greatest common divisor (GCD).
The GCD of 30 and 100 is 10. Divide both numbers by 10: 30÷10100÷10=310\frac{30 ÷ 10}{100 ÷ 10} = \frac{3}{10} - Result
So, 30% as a simplified fraction is: 310\frac{3}{10}
Why It’s Important to Simplify
Simplifying fractions helps make them easier to understand and compare. For instance, it’s easier to compare 310\frac{3}{10} to another fraction like 12\frac{1}{2} than to use 30100\frac{30}{100}.
Real-Life Application
Suppose you’re shopping and get a 30% discount on a product. That’s the same as saying you’re saving 310\frac{3}{10} of the price. If the item costs $50, you can calculate the savings by multiplying: 310×50=15\frac{3}{10} \times 50 = 15
So, you save $15.
Conclusion
Converting percentages into fractions gives you a new way to understand ratios and proportions. The correct simplified fraction for 30% is: 310\boxed{\frac{3}{10}}