what is 75 of 140

Natashya

less than a minute read

·

26-12-2024

1

0

Share

What is 75% of 140? A Step-by-Step Guide

Finding a percentage of a number is a common mathematical task. This article will clearly explain how to calculate 75% of 140, providing a step-by-step solution and explaining the underlying concept. Whether you're tackling a school assignment, a real-world problem, or simply curious, this guide will provide a clear and easy-to-understand approach.

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 convert the percentage to a decimal and then multiply.

Calculating 75% of 140

Here's how to calculate 75% of 140 in three simple steps:

Step 1: Convert the Percentage to a Decimal

To convert a percentage to a decimal, divide the percentage by 100. In this case:

75% ÷ 100 = 0.75

Step 2: Multiply the Decimal by the Number

Now, multiply the decimal (0.75) by the number you want to find the percentage of (140):

0.75 x 140 = 105

Step 3: State the Result

Therefore, 75% of 140 is $\boxed{105}$

Alternative Method: Using Fractions

You can also solve this using fractions. Remember that 75% is equivalent to ¾ (75/100 simplified). So, the calculation becomes:

(¾) x 140 = (3/4) x 140 = 105

Practical Applications

Understanding how to calculate percentages is crucial in many real-world scenarios, including:

• Sales and Discounts: Calculating discounts on sale items.
• Finance: Determining interest earned or owed.
• Statistics: Analyzing data and interpreting results.
• Everyday life: Figuring out tips, taxes, or proportions.

Conclusion

Calculating percentages is a fundamental skill with wide-ranging applications. By following the simple steps outlined above, you can confidently determine the value of any percentage of a given number. We've shown that 75% of 140 is 105, using both decimal and fractional methods. This method can be applied to any percentage calculation. Remember to convert the percentage to a decimal or fraction before multiplying.