Master Equivalent Fractions with Our Flashcards

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.

1. Draw a hexagon.

2. Divide it into three equal parts.

3. 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:

1. Split each of the three equal sections into two equal sections, creating six equal parts.

2. 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.