1/4 of 268

2 min read 11-03-2025

What is 1/4 of 268? A Simple Guide to Fraction Calculations

Finding a fraction of a number is a common math problem. This article will walk you through calculating 1/4 of 268, explaining the process step-by-step and offering helpful tips for similar problems. Whether you're a student brushing up on your skills or an adult needing a quick refresher, this guide will help you master this essential calculation.

Understanding Fractions

Before we dive into the calculation, let's quickly review what fractions represent. A fraction, like 1/4, shows a part of a whole. The number on the top (1) is called the numerator, and the number on the bottom (4) is the denominator. The denominator tells us how many equal parts the whole is divided into, while the numerator indicates how many of those parts we're considering.

Calculating 1/4 of 268

To find 1/4 of 268, we need to perform a simple calculation:

1. Divide by the denominator:

The first step is to divide the whole number (268) by the denominator of the fraction (4).

268 ÷ 4 = 67

2. The result is your answer:

The result of the division (67) is 1/4 of 268. Therefore:

1/4 of 268 = 67

Alternative Methods

There are a few other ways to approach this problem:

Decimal Conversion: You could convert the fraction 1/4 to its decimal equivalent (0.25) and then multiply 268 by 0.25. This will also give you the answer 67.
Repeated Subtraction: While less efficient for larger numbers, you could repeatedly subtract 1/4 (or 67) from 268 four times. This will eventually leave you with 0, confirming that 67 is 1/4 of 268.

Practical Applications

Understanding how to calculate fractions is incredibly useful in many real-world situations. Here are some examples:

Sharing: If you have 268 cookies and want to share them equally among four friends, each friend gets 1/4 or 67 cookies.
Discounts: If an item costs $268 and is on sale for 1/4 off, you'll save $67.
Measurements: In cooking or construction, you frequently need to work with fractions of measurements.

Conclusion

Calculating 1/4 of 268 is a straightforward process involving simple division. By understanding the concept of fractions and following the steps outlined above, you can confidently tackle similar fraction problems. Remember the key: divide the whole number by the denominator to find the answer. Now you know that 1/4 of 268 is 67!