what is 80 of 24

Natashya

less than a minute read

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27-12-2024

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Finding a percentage of a number is a common task in math and everyday life. This article will guide you through calculating 80% of 24, explaining the process step-by-step. Understanding this simple calculation can be incredibly helpful for various applications, from calculating discounts to determining proportions.

Understanding Percentages

Before we dive into the calculation, let's quickly review what percentages represent. A percentage is a fraction of 100. So, 80% means 80 out of 100, or 80/100. This can be simplified to the fraction 4/5.

Calculating 80% of 24: Method 1 - Using Decimals

This method is probably the most straightforward. We convert the percentage to a decimal and then multiply.

1. Convert the percentage to a decimal: To do this, divide the percentage by 100. 80% divided by 100 is 0.80 (or simply 0.8).

2. Multiply the decimal by the number: Now, multiply 0.8 by 24. This gives you 19.2.

Therefore, 80% of 24 is $\boxed{19.2}$

Calculating 80% of 24: Method 2 - Using Fractions

This method uses the fractional representation of the percentage.

1. Convert the percentage to a fraction: As mentioned earlier, 80% is equal to 80/100, which simplifies to 4/5.

2. Multiply the fraction by the number: Multiply 4/5 by 24. This can be written as (4/5) * 24 = (4 * 24) / 5 = 96 / 5

3. Simplify the fraction: Dividing 96 by 5 gives you 19.2.

Again, we find that 80% of 24 is $\boxed{19.2}$

Real-World Applications

Understanding percentage calculations is crucial in various situations:

• Discounts: If an item is 20% off, and costs $24, you can calculate the discount amount and the final price.
• Taxes: Calculating sales tax or other taxes on a purchase.
• Tips: Figuring out how much to tip in a restaurant.
• Statistics: Interpreting statistical data presented as percentages.

Conclusion

Calculating 80% of 24 is a simple yet important skill. Both the decimal and fraction methods provide accurate results (19.2). Mastering these methods will equip you to confidently handle percentage calculations in various contexts. Remember, understanding percentages is a fundamental skill with wide-ranging applications in many aspects of life.