what is 1/3 of 42

2 min read 23-02-2025

Introduction:

Finding a fraction of a number is a fundamental math skill. This article will clearly explain how to calculate 1/3 of 42, providing a step-by-step guide you can easily follow. Understanding this simple calculation will help you tackle more complex fraction problems in the future. Let's get started!

Understanding Fractions

Before we dive into calculating 1/3 of 42, let's briefly review what fractions represent. A fraction, like 1/3, shows a part of a whole. The top number (1) is called the numerator, and the bottom number (3) is called the denominator. The denominator tells us how many equal parts the whole is divided into, and the numerator tells us how many of those parts we're considering.

Calculating 1/3 of 42: Two Methods

There are two main ways to calculate one-third of 42:

Method 1: Multiplication

The most straightforward method is to multiply 42 by the fraction 1/3:

1/3 x 42 = ?

To multiply a whole number by a fraction, we multiply the whole number by the numerator and then divide by the denominator:

(1 x 42) / 3 = 42 / 3 = 14

Therefore, 1/3 of 42 is $\boxed{14}$

Method 2: Division

Alternatively, we can find one-third of 42 by dividing 42 by the denominator, 3:

42 / 3 = 14

This method directly gives us the answer: 14.

Visual Representation

To further illustrate, imagine you have 42 objects. If you divide them into three equal groups, each group would contain 14 objects. This visually reinforces that 1/3 of 42 is 14.

Practical Applications

Understanding how to calculate fractions is essential in various real-world situations:

Cooking: Following recipes often requires calculating fractions of ingredients.
Shopping: Determining discounts or sales prices may involve calculating fractions.
Construction: Measuring and cutting materials precisely frequently demands fraction calculations.

Conclusion

Calculating 1/3 of 42 is a simple process involving either multiplication or division. Both methods yield the same result: 14. Mastering this type of calculation builds a strong foundation for tackling more advanced mathematical concepts involving fractions and proportions. Remember to practice regularly to strengthen your understanding and skills. Now you know exactly what 1/3 of 42 is!