Connection between the Area of a Rectangle and Fraction Multiplication

Transcript

Connection between the Area of a Rectangle and Fraction Multiplication Let's break down the problem: Step 1: Visualize the First Fraction (2/5) Imagine a whole rectangle. To show , we divide it into 5 equal vertical columns and shade of them. This blue area represents 2/5 of the whole. Step 2: Visualize the Second Fraction (3/4) Now, take that same rectangle and divide it into 4 equal horizontal rows to represent 3/4. We shade 3 of those rows. This red area represents 3/4 of the whole.Step 3: Find the Overlap The answer is the area where the two shadings overlap. Let's count: There are purple (overlapping) squares. This is our new numerator ( 3). There are total squares. This is our new denominator ( ). The result is , which simplifies to .The idea is to have a rectangle with Length as denominator of 1st fraction Breadth as denominator of 2nd fraction