Fractions represent parts of a whole. A fraction like 1/3 indicates one out of three equal parts of something. In this case, we’re looking for one-third of $360, meaning we want to divide $360 into three equal parts and find the value of one of those parts.
Solving the Problem
To find one-third of $360, we perform a simple division:
$360 ÷ 3 = $120
Therefore, one-third of $360 is $120.
Visualizing the Solution
Imagine a pie cut into three equal slices. The whole pie represents $360. Each slice represents one-third of the pie, which is $120.
Real-Life Applications
Understanding fractions and division is crucial in many real-life scenarios. Here are a few examples:
- Sharing: If you have a group of three friends and want to split a $360 bill equally, each friend would pay $120.
- Discounts: If a store offers a one-third discount on a $360 item, you would save $120.
- Measurement: If a recipe calls for one-third cup of flour, and you have a measuring cup with markings for thirds, you would use the one-third mark to measure out the correct amount of flour.
Key Concepts
- Fraction: A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). The numerator indicates the number of parts we’re considering, and the denominator indicates the total number of equal parts the whole is divided into.
- Division: Division is the mathematical operation of splitting a number into equal parts. It’s represented by the symbol ÷ or /.
- Whole Number: A whole number is a number without any fractional or decimal parts. Examples include 1, 2, 3, 4, and so on.
Practice Problems
To reinforce your understanding, try solving these practice problems:
- What is two-thirds of $360?
- What is one-fourth of $200?
- If a cake is cut into 12 slices, and you eat 3 slices, what fraction of the cake have you eaten?
Conclusion
Finding a fraction of a whole number is a fundamental mathematical skill with numerous applications in everyday life. By understanding the concepts of fractions and division, you can solve various problems related to sharing, discounts, measurement, and more.