what is 90 of 60

Natashya

2 min read

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23-12-2024

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Finding a percentage of a number is a common calculation in many areas of life, from calculating discounts to figuring out tips. This guide will walk you through how to calculate 90% of 60, explaining the process clearly so you can apply it to other percentage problems. We'll cover the method using both fractions and decimals.

Understanding Percentages

Before we begin, let's quickly review what percentages represent. A percentage is a fraction or ratio expressed as a number out of 100. So, 90% means 90 out of 100, or 90/100.

Method 1: Using Fractions

This method is excellent for understanding the underlying concept.

1. Convert the percentage to a fraction: 90% can be written as the fraction 90/100.

2. Set up the equation: We want to find 90% of 60, which can be written as: (90/100) * 60

3. Simplify the fraction: 90/100 simplifies to 9/10. Our equation becomes: (9/10) * 60

4. Perform the calculation: Multiply 9/10 by 60. This is the same as (9 * 60) / 10 = 540 / 10 = 54

Therefore, 90% of 60 is 54.

Method 2: Using Decimals

This method is often faster for calculations.

1. Convert the percentage to a decimal: To convert a percentage to a decimal, divide it by 100. 90% divided by 100 is 0.90 (or simply 0.9).

2. Set up the equation: We want to find 90% of 60, which can be written as: 0.9 * 60

3. Perform the calculation: Multiply 0.9 by 60: 0.9 * 60 = 54

Therefore, 90% of 60 is 54.

Practical Applications

Understanding how to calculate percentages is useful in many everyday situations:

• Sales and Discounts: Calculating the discount on sale items.
• Taxes: Determining the amount of sales tax or other taxes.
• Tips: Figuring out how much to tip at a restaurant.
• Grade Calculations: Determining a weighted average grade.
• Financial Planning: Calculating interest or investment returns.

Conclusion

Calculating 90% of 60, whether using fractions or decimals, results in the answer 54. Mastering this simple calculation provides a valuable skill applicable in various real-world scenarios. Remember to practice these methods to build your confidence and speed. Now you can tackle similar percentage problems with ease!