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what is 75 of 8 dollars

what is 75 of 8 dollars

less than a minute read 05-02-2025
what is 75 of 8 dollars

Finding a percentage of a number is a common calculation in everyday life, from figuring out sales tax to calculating discounts. This article will show you exactly how to calculate 75% of 8 dollars, providing a clear, step-by-step approach you can use for similar problems.

Understanding Percentages

A percentage represents a fraction of 100. For example, 75% means 75 out of 100, or 75/100. To find a percentage of a number, we need to convert the percentage into a decimal or a fraction.

Method 1: Using Decimals

Step 1: Convert the percentage to a decimal.

To convert 75% to a decimal, divide 75 by 100:

75 รท 100 = 0.75

Step 2: Multiply the decimal by the number.

Now, multiply the decimal (0.75) by the amount of money ($8):

0.75 x $8 = $6

Therefore, 75% of $8 is $6.

Method 2: Using Fractions

Step 1: Convert the percentage to a fraction.

75% can be written as the fraction 75/100. This fraction can be simplified:

75/100 = 3/4

Step 2: Multiply the fraction by the number.

Multiply the simplified fraction (3/4) by the amount of money ($8):

(3/4) x $8 = $6

Therefore, 75% of $8 is $6.

Real-World Applications

Understanding how to calculate percentages is crucial for various real-world scenarios. Here are a few examples:

  • Sales and Discounts: Many stores offer discounts as a percentage. Calculating the discount amount helps determine the final price.
  • Taxes: Sales tax is usually expressed as a percentage of the purchase price.
  • Tips: Calculating a tip in a restaurant often involves finding a percentage of the bill.
  • Interest: Interest earned on savings accounts or paid on loans is typically calculated as a percentage.

Conclusion

Calculating 75% of 8 dollars is straightforward using either the decimal or fraction method. Both methods yield the same result: $6. This knowledge empowers you to tackle similar percentage problems with confidence in various everyday situations. Remember to always clearly define your problem, break it down into smaller steps, and check your work!

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