write 75% as a decimal and fraction in simplest form
The correct answer and explanation is:
Correct Answer:
- Decimal: 0.75
- Fraction (simplest form): ¾
300-Word Explanation:
To convert 75% into a decimal and a fraction in simplest form, we need to understand what a percent is and how it relates to fractions and decimals.
Step 1: Understanding Percent
The word percent means “per hundred.” So, 75% literally means 75 out of 100, or: 75%=7510075\% = \frac{75}{100}
Step 2: Converting to a Decimal
To change a percent into a decimal, divide the number by 100: 75÷100=0.7575 \div 100 = 0.75
So, 75% as a decimal is 0.75.
Step 3: Converting to a Fraction
We already know: 75%=7510075\% = \frac{75}{100}
Now, simplify the fraction. Both 75 and 100 can be divided by their greatest common divisor (GCD), which is 25: 75÷25100÷25=34\frac{75 \div 25}{100 \div 25} = \frac{3}{4}
So, 75% as a simplified fraction is ¾.
Why This Matters
Understanding how to convert between percentages, decimals, and fractions helps in everyday life, such as when comparing discounts, calculating taxes, or interpreting statistics. For example, if an item is 75% off, knowing that this is the same as paying just 25% (or ¼) of the price can help you estimate quickly.
In math, being able to move fluidly between formats improves number sense and helps you solve problems more efficiently.
✅ Summary:
- 75% = 0.75 (decimal)
- 75% = ¾ (fraction in simplest form)
This shows how percentages relate directly to real numbers and parts of a whole.