1 4 of 1360

Breiz Heurope

2 min read

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11-03-2025

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Decoding "1/4 of 1360": A Simple Guide to Fractions and Multiplication

This article will guide you through solving "1/4 of 1360," explaining the process step-by-step and providing helpful context for understanding fractions and multiplication. We'll cover the basics and show you how to apply this type of problem to various situations.

Understanding the Problem:

The phrase "1/4 of 1360" is a mathematical expression asking you to find one-fourth (or 25%) of the number 1360. In essence, we're dealing with a fraction and multiplication.

Method 1: Converting the Fraction to a Decimal

One way to solve this is by converting the fraction 1/4 into its decimal equivalent.

• 1/4 = 0.25

Now, multiply 0.25 by 1360:

• 0.25 * 1360 = 340

Therefore, 1/4 of 1360 is $\boxed{340}$.

Method 2: Direct Multiplication with Fractions

Alternatively, you can solve this problem directly using fraction multiplication. Remember that "of" in this context means multiplication.

• (1/4) * 1360

To multiply a fraction by a whole number, you can rewrite the whole number as a fraction (1360/1) and then multiply the numerators and the denominators:

• (1 * 1360) / (4 * 1) = 1360/4

Now, simply perform the division:

• 1360 ÷ 4 = 340

Again, we find that 1/4 of 1360 is $\boxed{340}$.

Real-World Applications:

Understanding how to calculate fractions of numbers is essential in many everyday situations. For example:

• Sharing: If you have 1360 candies and want to share them equally among four friends, each friend receives 1/4 of the total, which is 340 candies.
• Discounts: A store offers a 25% discount on an item costing 1360. The discount amount is 1/4 of the original price, or 340.
• Measurements: If a recipe calls for 1/4 of a 1360ml bottle of liquid, you need 340ml.

Expanding the Concept:

The principle of finding a fraction of a number applies to any fraction, not just 1/4. For example, to find 2/5 of 1360, you would multiply (2/5) * 1360, which simplifies to (2 * 1360) / 5 = 544.

Conclusion:

Calculating "1/4 of 1360" involves a fundamental mathematical concept: fraction multiplication. By understanding the two methods outlined above—converting to decimals or using direct fraction multiplication—you can easily solve this and similar problems. This skill has numerous applications in daily life, from dividing resources to calculating discounts. Remember that the solution, regardless of the method used, is always $\boxed{340}$.