Master Equivalent Fractions with Our Flashcards
Understanding Equivalent Fractions with Visual Models
Dive into our interactive flashcards to reinforce your understanding of equivalent fractions. Our flashcards provide a fun and engaging way to practice and ensure you grasp the concept fully.
How to Identify and Create Equivalent Fractions
Understanding the Basics
To understand equivalent fractions, let's start with a simple example using hexagons. Imagine you have a hexagon filled completely with color. This hexagon represents one whole.
Identifying 2/3 Filled Hexagons
Now, the goal is to identify hexagons that are 2/3 filled. To think in terms of thirds, imagine dividing the hexagon into three equal sections. Each section represents 1/3 of the whole.
Draw a hexagon.
Divide it into three equal parts.
Fill in two of these three parts.
Now, you have a hexagon that is 2/3 filled.
Converting Thirds to Sixths
What if the hexagon is divided into six parts instead of three? Here's how to figure out which hexagons have the equivalent of 2/3 filled in:
Split each of the three equal sections into two equal sections, creating six equal parts.
Now, the hexagon is divided into sixths.
To maintain the same proportion of 2/3, you need to fill in 4 of these 6 parts (since 4/6 is equivalent to 2/3).
Practical Examples
Let's apply this understanding to identify which hexagons are 2/3 filled:
Look at each hexagon divided into six parts.
Count how many parts are filled.
For instance:
If 4 out of 6 parts are filled, this is equivalent to 2/3.
If only 2 out of 6 parts are filled, this is not equivalent to 2/3.
By using this method, you can easily determine which hexagons represent the fraction 2/3.
When it comes to mastering fractions, visual models are incredibly helpful. Khan Academy offers an excellent explanation and video on this topic, which you can view here.