Let's identify equivalent fractions out of a set of shapes.
In this first set, let's find the fraction for each shape.
The top left shows three out of four parts shaded, which is 3/4s.
The bottom left has eight triangles with six shaded. 68 simplifies to 3/4s. So, these two are equivalent.
The bottom right has 16 small triangles and 12 are shaded. So it represents 126.
1216 simplifies to 3/4s.
The top right shape has 16 squares with 11 shaded representing the fraction 116.
Since the other three are all equivalent to 3/4s, 116 is the one that doesn't belong.
We can tell 68 and 116 are not equivalent because we can't multiply the numerator and denominator of 6/8 to get 1116.
Let's look at the next set. The top left shape represents 1/5. The top right shows 2/10ths which also simplifies to 1/5. So they're equivalent.
The bottom left shows 4 15s. The bottom right is 4 20ths which also simplifies to 1/5.
So the bottom left 4 15 is not equivalent to the others.
Let's analyze the next set. The top left shape is 4/8 or 1/2.
The top right is 8/16 which is also 1/2.
The bottom right shows eight shaded triangles out of 16 which is 816. So it's also 1/2. The bottom left shape is the outlier. The shaded area is 616, which simplifies to 3/8.
In our last set, the top left shape shows two out of six triangles shaded.
That's 26ths or 1/3.
The bottom left is also equivalent to 1/3.
The bottom right shows four shaded rectangles out of 12. 4 12ths simplifies to 1/3. The shape that isn't equivalent is in the top right. It shows a grid of nine squares with four shaded. This represents 4 9ths.
We can always check if fractions are equivalent numerically. 2 sixth is equivalent to 4 12ths because if you multiply both the numerator and denominator of 26 by 2, you get 4 12ths.
