what is 75 of 35

Natashya

2 min read

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22-12-2024

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What is 75% of 35? A Step-by-Step Guide

Finding a percentage of a number is a common task in math and everyday life. Let's break down how to calculate 75% of 35. This seemingly simple question touches on fundamental percentage concepts, useful for various applications. We'll cover different methods, ensuring you understand the underlying principles.

Understanding Percentages

Before diving into the calculation, it's helpful to remember what a percentage represents. A percentage is a fraction out of 100. So, 75% means 75 out of 100, or 75/100.

Method 1: Converting to a Decimal

This is often the easiest method. To find 75% of 35:

1. Convert the percentage to a decimal: Divide 75 by 100: 75 ÷ 100 = 0.75
2. Multiply the decimal by the number: 0.75 x 35 = 26.25

Therefore, 75% of 35 is $\boxed{26.25}$

Method 2: Using Fractions

This method reinforces the fractional nature of percentages.

1. Express the percentage as a fraction: 75% = 75/100. This fraction can be simplified to 3/4.
2. Multiply the fraction by the number: (3/4) x 35 = 105/4
3. Convert the improper fraction to a decimal: 105 ÷ 4 = 26.25

Again, we find that 75% of 35 is $\boxed{26.25}$

Method 3: Breaking it Down

We can also calculate this by finding easier percentages and adding them together.

• 50% of 35: 35 ÷ 2 = 17.5
• 25% of 35: 17.5 ÷ 2 = 8.75
• 75% of 35: 17.5 + 8.75 = 26.25

This approach is useful for mental calculations or when dealing with percentages that are easily broken down into simpler fractions.

Real-World Applications

Understanding percentage calculations is vital in many scenarios:

• Discounts: Calculating the price after a 75% discount.
• Sales tax: Determining the total cost including tax.
• Tip calculations: Figuring out how much to tip in a restaurant.
• Grade calculations: Understanding your percentage score on a test.

Mastering percentage calculations improves your problem-solving skills in various situations.

Conclusion

We've explored three different methods to calculate 75% of 35, all arriving at the same answer: 26.25. Choose the method that best suits your understanding and the context of the problem. Remember that understanding percentages is a valuable skill with broad applications in everyday life and beyond. Now you know how to tackle similar percentage problems confidently!