What is (2/3) times (2/3)?
Multiplying fractions is a straightforward process. Here's how to calculate (2/3) times (2/3):
Understanding the Process
- Numerators: Multiply the numerators (the top numbers) together. 2 x 2 = 4
- Denominators: Multiply the denominators (the bottom numbers) together. 3 x 3 = 9
The Answer
The result is 4/9.
Visual Representation
Imagine a square divided into 9 equal pieces. If you shade 2 out of every 3 rows and 2 out of every 3 columns, you'll end up shading 4 out of the 9 pieces. This visually represents why (2/3) times (2/3) equals (4/9).
Applications
Understanding fraction multiplication is important in various situations:
- Cooking: Scaling recipes up or down.
- Geometry: Calculating areas of shapes.
- Probability: Determining the likelihood of events.