What is 1/4 of 268?
The correct answer and explanation is:
Correct Answer:
1/4 of 268 is 67.
Step-by-Step Explanation:
To find 1/4 of 268, you are essentially dividing the number 268 into 4 equal parts. This is written mathematically as: 14×268=2684\frac{1}{4} \times 268 = \frac{268}{4}
Now divide: 268÷4=67268 \div 4 = 67
So, one-fourth of 268 is 67.
Why This Works (Detailed Explanation):
Fractions represent parts of a whole. The fraction 1/4 means one part out of four equal parts. So when you’re asked to find 1/4 of a number, you’re looking for how much one of those four parts would be.
Real-Life Analogy:
Imagine you have 268 shillings and you want to divide it equally among 4 friends. Each friend would receive: 268÷4=67 shillings268 \div 4 = 67 \text{ shillings}
Thus, each friend gets 67, which is 1/4 of the total amount.
Checking Your Work:
To verify your answer, multiply the result by 4: 67×4=26867 \times 4 = 268
Since the original number is restored, the calculation is correct.
Why It’s Important:
Understanding how to find a fraction of a number is essential in everyday tasks like budgeting, sharing, and measuring. Whether you’re dividing money, ingredients in a recipe, or work between team members, knowing how to calculate fractional parts helps make fair and accurate decisions.
In summary, finding 1/4 of 268 involves dividing 268 by 4, which gives 67.