what is 70 of 28

Natashya

2 min read

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23-12-2024

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Finding a percentage of a number is a common mathematical task. This article will guide you through calculating 70% of 28, explaining the process clearly and concisely. We'll break it down into simple steps so you can easily understand and apply this method to other percentage calculations.

Understanding Percentages

Before we dive into the calculation, let's quickly review what percentages represent. A percentage is a fraction expressed as a part of 100. So, 70% means 70 out of 100, or 70/100.

Calculating 70% of 28: Method 1 - Using Decimals

The most straightforward method involves converting the percentage to a decimal.

Step 1: Convert the percentage to a decimal.

To convert 70% to a decimal, divide it by 100:

70% ÷ 100 = 0.70 (or simply 0.7)

Step 2: Multiply the decimal by the number.

Now, multiply the decimal (0.7) by the number you want to find the percentage of (28):

0.7 x 28 = 19.6

Therefore, 70% of 28 is $\boxed{19.6}$.

Calculating 70% of 28: Method 2 - Using Fractions

Alternatively, you can use fractions to calculate the percentage.

Step 1: Convert the percentage to a fraction.

70% can be written as the fraction 70/100. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 10:

70/100 = 7/10

Step 2: Multiply the fraction by the number.

Now, multiply the simplified fraction (7/10) by 28:

(7/10) x 28 = 196/10

Step 3: Convert the improper fraction to a decimal.

Finally, convert the improper fraction 196/10 to a decimal by dividing the numerator by the denominator:

196 ÷ 10 = 19.6

Again, we find that 70% of 28 is $\boxed{19.6}$.

Real-World Applications

Understanding percentage calculations is crucial in many real-world scenarios. For example:

• Discounts: Calculating the price after a 70% discount.
• Taxes: Determining the amount of tax on a purchase.
• Tips: Figuring out the appropriate tip amount in a restaurant.
• Statistics: Interpreting data presented as percentages.

Mastering percentage calculations empowers you to confidently handle these and many other situations.

Conclusion

We've explored two different methods for calculating 70% of 28, both leading to the same answer: 19.6. Remember, understanding percentages is a valuable skill with broad applications in everyday life. Choose the method that you find most comfortable and apply it to similar percentage problems. Now you can confidently tackle any percentage calculation you encounter!