1/6 of 54

2 min read 26-02-2025

Understanding fractions is a fundamental skill in math. This article will guide you through calculating 1/6 of 54, explaining the process step-by-step and offering helpful tips for similar problems. Finding a fraction of a number is crucial for many applications, from baking to budgeting.

Understanding the Problem: 1/6 of 54

The question "What is 1/6 of 54?" asks us to find one-sixth of the number 54. This means we need to divide 54 into six equal parts and determine the size of one of those parts.

Method 1: Dividing by the Denominator

The most straightforward method involves focusing on the denominator of the fraction (the bottom number). In this case, the denominator is 6.

Divide: Divide 54 by the denominator, 6: 54 ÷ 6 = 9

Therefore, 1/6 of 54 is $\boxed{9}$ .

Method 2: Multiplying by the Fraction

Another way to solve this is to express "of" as multiplication.

Rewrite: Rewrite the problem as a multiplication problem: (1/6) * 54
Multiply Numerator: Multiply the numerator (the top number, 1) by 54: 1 * 54 = 54
Divide by Denominator: Divide the result by the denominator (6): 54 ÷ 6 = 9

Again, we find that 1/6 of 54 is $\boxed{9}$ .

Visualizing the Solution

Imagine you have 54 cookies. You want to divide them equally among 6 friends. How many cookies does each friend get? The answer is 9 cookies per friend. This visual representation reinforces the mathematical calculation.

Practicing with Similar Problems

Let's try a few more examples to solidify your understanding:

What is 1/3 of 27? (27 ÷ 3 = 9)
What is 2/5 of 30? (30 ÷ 5 = 6; 6 * 2 =12)
What is 3/4 of 20? (20 ÷ 4 = 5; 5 * 3 = 15)

Remember, the "of" in these problems represents multiplication.

Conclusion: Mastering Fractions

Calculating fractions of numbers is a fundamental arithmetic skill with wide applications. By understanding the methods outlined above—dividing by the denominator or multiplying by the fraction—you can confidently tackle similar problems. Remember to practice regularly to build your proficiency. Now you know how to find 1/6 of 54, and you’re well-equipped to handle other fraction calculations!