Finding out what 75% of 84 is a common math problem. Whether you’re calculating a discount, figuring out a tip, or working on a school assignment, understanding percentages is a valuable skill. This article will guide you through multiple ways to solve this problem, offering practical examples and breaking down the process step-by-step.
Different Methods to Calculate 75% of 84
There are several ways to approach this calculation, each with its own advantages. Let’s explore a few of them.
Method 1: Using Decimals
One of the most straightforward methods is to convert the percentage to a decimal. To do this, divide the percentage by 100. So, 75% becomes 0.75. Then, multiply this decimal by the number you’re working with, in this case, 84.
0.75 x 84 = 63
Therefore, 75% of 84 is 63.
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Method 2: Using Fractions
Another approach is to convert the percentage to a fraction. 75% can be represented as the fraction ¾. Then, multiply this fraction by the number 84.
(¾) x 84 = (3 x 84) / 4 = 252 / 4 = 63
This method, like the decimal method, yields the same result: 63.
Method 3: Mental Calculation with Easy Percentages
If you’re comfortable with mental math, you can break down the percentage into easier chunks. 75% is the same as 50% + 25%. Half of 84 (50%) is 42. Half of 42 (25%) is 21. Adding these two results together gives you:
42 + 21 = 63
This method is particularly useful for quick estimations.
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What is 75% of 84 Used For?
Understanding percentages like this has practical applications in everyday life. For instance, imagine you are buying a video game discounted by 75%. If the original price is $84, knowing how to calculate 75% of 84 helps you quickly determine the discounted price and your savings.
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Conclusion: 75% of 84 Simplified
As we’ve seen, calculating 75% of 84 is achievable through different methods, all leading to the same answer: 63. Whether you prefer using decimals, fractions, or mental math, the key is to choose the method you find most comfortable and efficient. Understanding percentages is a fundamental skill with broad applications, from shopping and budgeting to academic pursuits and professional tasks. Now, armed with this knowledge, you can confidently tackle similar percentage problems.
FAQ
- What is the decimal equivalent of 75%? (0.75)
- What is the fraction equivalent of 75%? (¾)
- What is half of 84? (42)
- What is a quarter of 84? (21)
- What is 75% of 84 used for in real life? (Calculating discounts, tips, etc.)
- What is another way to calculate 75% of a number? (Divide the number by 4 and multiply by 3)
- Is there a calculator I can use to calculate percentages? (Yes, many online and physical calculators can perform percentage calculations).
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