what is 1 3 of 28

2 min read 24-12-2024

Finding a fraction of a number is a common math problem. This article will show you how to calculate 1/3 of 28, explaining the process step-by-step. We'll also explore different ways to approach this type of problem, making it easier to understand and solve similar questions in the future.

Understanding the Problem: 1/3 of 28

The question "What is 1/3 of 28?" asks us to find one-third of the number 28. In other words, we need to divide 28 into three equal parts and determine the value of one of those parts.

Method 1: Direct Calculation

The most straightforward way to solve this is by performing the calculation directly:

Convert the fraction to a decimal: 1/3 is approximately 0.333... (It's a repeating decimal).
Multiply the decimal by the whole number: 0.333... * 28 ≈ 9.333...

While this method provides a quick estimate, using the repeating decimal can lead to slight inaccuracies. Let's look at a more precise method.

Method 2: Fraction Multiplication

This approach uses the principles of fraction multiplication and provides a more accurate result:

Rewrite the problem as a multiplication: "1/3 of 28" can be written as (1/3) * 28.
Rewrite the whole number as a fraction: 28 can be expressed as 28/1.
Multiply the fractions: (1/3) * (28/1) = 28/3
Simplify the fraction: This results in an improper fraction, 28/3. To convert it to a mixed number, divide the numerator (28) by the denominator (3).

28 ÷ 3 = 9 with a remainder of 1. Therefore, 28/3 = 9 1/3

Therefore, 1/3 of 28 is exactly 9 1/3.

Method 3: Division

Another way to approach this problem involves using division:

Divide the whole number by the denominator of the fraction: Divide 28 by 3.

28 ÷ 3 = 9.333...
Interpret the result: The quotient, 9.333..., represents the value of one-third of 28.

While this method yields the same decimal approximation as Method 1, it also clearly shows that the result isn't a whole number.

Visualizing the Problem

Imagine you have 28 cookies. If you want to divide them equally among 3 friends, how many cookies does each friend get? You'd divide 28 by 3, which gives you 9 cookies per friend with one cookie left over. That leftover cookie could be divided into thirds, giving each friend an additional 1/3 of a cookie.

Conclusion: 1/3 of 28 = 9 1/3

Regardless of the method used, the precise answer to "What is 1/3 of 28?" is 9 1/3. Understanding the different methods allows you to choose the approach that best suits your understanding and the specific problem. Remember to always simplify your fractions for the most accurate and concise answer.