what is 80 of 48

2 min read 25-12-2024

What is 80% of 48? A Step-by-Step Guide

Finding a percentage of a number is a common mathematical task. This article will show you how to calculate 80% of 48 using two different methods: the decimal method and the fraction method. Both methods will arrive at the same answer. Understanding these methods will help you tackle similar percentage problems in the future.

Method 1: The Decimal Method

This method uses the decimal equivalent of a percentage. To convert a percentage to a decimal, simply divide the percentage by 100.

Step 1: Convert the percentage to a decimal.

80% divided by 100 = 0.80

Step 2: Multiply the decimal by the number.

0.80 multiplied by 48 = 38.4

Therefore, 80% of 48 is 38.4

Method 2: The Fraction Method

This method utilizes the fraction equivalent of a percentage. Percentages are essentially fractions with a denominator of 100.

Step 1: Convert the percentage to a fraction.

80% can be written as 80/100. This fraction can be simplified to 4/5 by dividing both the numerator and the denominator by 20.

Step 2: Multiply the fraction by the number.

(4/5) multiplied by 48 = (4 * 48) / 5 = 192 / 5 = 38.4

Therefore, 80% of 48 is 38.4

Understanding the Calculation

Both methods demonstrate that 80% of 48 equals 38.4. This means that if you divide 48 into 100 equal parts, 80 of those parts would add up to 38.4. This concept is crucial in various applications, from calculating discounts to determining proportions in different fields.

Practical Applications

Calculating percentages is a practical skill used in many real-world situations:

Sales and Discounts: Determining the price after an 80% discount on an item costing $48.
Statistics and Data Analysis: Finding the percentage of a certain category within a larger dataset.
Finance: Calculating interest earned on an investment or the percentage of a loan paid off.

Mastering percentage calculations will enhance your problem-solving abilities in various fields.

Conclusion

We've demonstrated two straightforward methods to calculate 80% of 48. Whether you prefer the decimal or fraction method, the result remains consistent: 38.4. Understanding these methods empowers you to solve similar percentage problems with ease and confidence. Remember to practice these methods to build your proficiency in percentage calculations. Now you know exactly what 80% of 48 is!