Unlocking the Mystery of 3/2 Times 2: A StepbyStep Guide
Have you ever encountered a math problem that looks deceptively simple, like "3/2 times 2"? While the numbers themselves might seem basic, the combination of fractions and whole numbers can sometimes throw people off. Fear not, because we're going to break down this problem stepbystep and explore the underlying concepts.
Understanding the Problem:
Before diving into the calculation, let's clarify what the question is asking. "3/2 times 2" is essentially a multiplication problem involving a fraction (3/2) and a whole number (2).
Methods for Solving:
There are two common approaches to solving this:
1. Direct Multiplication:
This method involves directly multiplying the numerator (top number) of the fraction by the whole number.

3/2 * 2 = (3 * 2) / 2

= 6 / 2

= 3
2. Using the Concept of "Of"
Another way to understand this problem is to think of "times" as meaning "of". In this case, "3/2 times 2" becomes "3/2 of 2". This might make the problem seem more intuitive.

3/2 of 2 = (3/2) * (2/1)

= (3 * 2) / (2 * 1)

= 6 / 2

= 3
The Answer:
Both methods lead to the same answer: 3.
Why is this important?
Understanding how to multiply fractions with whole numbers is fundamental in various areas of mathematics, including:
 Calculating areas and volumes: Imagine calculating the area of a rectangle with dimensions 3/2 meters and 2 meters.
 Solving realworld problems: You might need to calculate the amount of paint needed for a project, knowing that you have 3/2 liters of paint and need to use 2 times that amount.
Additional Insights:
 Fractions as Division: Remember that a fraction like 3/2 can also be thought of as 3 divided by 2.
 Visual Representation: You can visualize 3/2 times 2 by drawing a rectangle and dividing it into halves. Then, shade three of those halves. Multiplying by 2 essentially doubles the shaded area, resulting in three whole rectangles.
Conclusion:
Solving "3/2 times 2" might seem simple at first glance, but it highlights the important concepts of fraction multiplication and the connection between fractions and division. By understanding these principles, you equip yourself with the knowledge to confidently tackle more complex mathematical problems.