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what is 75 of 28

what is 75 of 28

less than a minute read 05-02-2025
what is 75 of 28

Finding a percentage of a number is a common task in math and everyday life. This article will show you how to calculate 75% of 28, explaining the process step-by-step so you can easily understand and apply it to other percentage calculations.

Understanding Percentages

Before we dive into the calculation, let's refresh our understanding of percentages. A percentage is a fraction expressed as a number out of 100. So, 75% means 75 out of 100, or 75/100.

Method 1: Using Decimal Conversion

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

Step 1: Convert the percentage to a decimal.

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

75 ÷ 100 = 0.75

Step 2: Multiply the decimal by the number.

Now, multiply the decimal (0.75) by 28:

0.75 x 28 = 21

Therefore, 75% of 28 is 21.

Method 2: Using Fractions

This method involves converting the percentage to a fraction and then performing the multiplication.

Step 1: Convert the percentage to a fraction.

75% can be written as the fraction 75/100. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (25):

75/100 = 3/4

Step 2: Multiply the fraction by the number.

Now, multiply the simplified fraction (3/4) by 28:

(3/4) x 28 = (3 x 28) / 4 = 84 / 4 = 21

Therefore, 75% of 28 is 21.

Method 3: Using Proportions

This method uses the concept of ratios and proportions to solve the problem.

We can set up a proportion:

75/100 = x/28

Where 'x' represents 75% of 28. To solve for 'x', we cross-multiply:

75 x 28 = 100x

2100 = 100x

x = 2100 / 100 = 21

Therefore, 75% of 28 is 21.

Conclusion

Regardless of the method used—decimal conversion, fraction conversion, or proportions—the answer remains the same: 75% of 28 is 21. Choosing the method that you find easiest and most understandable is key to mastering percentage calculations. Remember to practice these methods to build your confidence and proficiency in solving similar problems.

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