what is 1 3 of 400000

Natashya

less than a minute read

·

26-12-2024

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Finding a fraction of a number is a fundamental mathematical skill. This article will clearly explain how to calculate one-third (1/3) of 400,000. We'll break down the process step-by-step, making it easy to understand, even for those who aren't math experts.

Understanding the Problem: 1/3 of 400,000

The question "What is 1/3 of 400,000?" asks us to find one-third of the total amount 400,000. This means we need to divide 400,000 into three equal parts and determine the value of one of those parts.

Step-by-Step Calculation

To solve this, we perform a simple division:

400,000 ÷ 3

This division can be done using a calculator or by hand using long division.

Using a calculator: Simply enter 400000 ÷ 3 into your calculator. The answer you get is 133,333.333...

Manual Calculation (Long Division): While a calculator is quicker, understanding the long division process is valuable. It would look something like this:

      133333.333...
3 | 400000.000
   -3
   ---
    10
    -9
    ---
     10
     -9
     ---
      10
      -9
      ---
       10
       -9
       ---
        10
        -9
        ---
         1... and so on.

As you can see, the division results in a repeating decimal.

The Answer

Therefore, one-third (1/3) of 400,000 is approximately 133,333.33. The "3" repeats infinitely. Depending on the context, you might round this to the nearest whole number (133,333) or to a specific decimal place (e.g., 133,333.33).

Practical Applications

Understanding fractional calculations is crucial in many real-world scenarios:

• Budgeting: Dividing a budget into thirds for different expense categories.
• Recipe Scaling: Adjusting ingredient amounts in a recipe if you need to make a larger or smaller batch.
• Business: Calculating profits or losses based on a percentage of total revenue.
• Construction & Engineering: Dividing materials and resources for different parts of a project.

This simple calculation illustrates how fractions are used to represent parts of a whole number. Mastering these concepts can enhance your mathematical problem-solving abilities and help you navigate numerous practical applications in everyday life.