Understanding the Calculation of 1/21/323: A Comprehensive Guide

In this comprehensive guide, we will explore the step-by-step process of calculating the product of the fractions and numbers in the expression 1/2, 1/3, 2, and 3. Understanding this concept is crucial for students and professionals alike, as it forms a fundamental part of mathematical operations in various fields including engineering, finance, and science.

Fundamentals of Fractions and Multiplication

Before delving into the specific problem, let's briefly review the basic principles involved. Fractions represent parts of a whole, and multiplication is a mathematical operation used to find the total quantity when groups of equal size are combined. To solve the problem 1/2 1/3 2 3, we need to follow the rules of multiplication for both fractions and whole numbers.

Step-by-Step Calculation: 1/2 1/3 2 3

Multiplication of Fractions: The first step involves finding the product of the fractions 1/2 and 1/3.

When multiplying two fractions, we multiply the numerators together to get the new numerator, and we multiply the denominators together to get the new denominator.

Calculation: 1/2 times; 1/3 (1 times; 1) / (2 times; 3) 1/6

Multiplication by Whole Numbers: Next, we continue the operation by multiplying the result of the fraction 1/6 by the whole numbers 2 and 3.

This involves two separate multiplications: first, (1/6) times; 2, and then the product obtained from the previous step will be multiplied by 3.

Calculation:

(1/6) times; 2 (2/6) 1/3 1/3 times; 3 (1 times; 3) / (3 times; 1) 3/3 1

Thus, the final result of the expression 1/2 times; 1/3 times; 2 times; 3 is 1.

Conclusion

Understanding the calculation of 1/21/323 is essential for anyone dealing with mathematical problem-solving, as it demonstrates the application of key principles in fraction manipulation and numerical multiplication. This article provided a clear and detailed breakdown of the process, ensuring that you, the reader, can confidently solve similar problems and apply these concepts in various situations.

Frequently Asked Questions (FAQs)

Q: How do you multiply fractions?
A: To multiply fractions, you multiply the numerators together to get the new numerator, and you multiply the denominators together to get the new denominator. For example, 1/2 times; 1/3 (1 times; 1) / (2 times; 3) 1/6. Q: What is the final answer to 1/2 1/3 2 3?
A: The final answer is 1, as the multiplication of the fractions and whole numbers results in 1. Q: When would you use fraction multiplication in real-life scenarios?
A: Fraction multiplication is commonly used in cooking, construction, and finance. For example, when scaling recipes or calculating interest rates, it is essential to understand how to multiply fractions accurately.