FREE Printable Identifying Fractions Worksheets [PDFs] Brighterly - Free Printable

To solve this worksheet, we need to look at each pair of shapes and figure out which one represents the fraction written above it.

A fraction like $\frac{1}{2}$ means "1 part out of 2 equal parts."
A fraction like $\frac{1}{5}$ means "1 part out of 5 equal parts."

Here is the step-by-step solution for each row:

Row 1:
* Left Side ($\frac{1}{2}$): We have a diamond split into 4 parts with 1 shaded ($\frac{1}{4}$) and a pentagon split into 5 parts with 1 shaded ($\frac{1}{5}$). Neither of these is $\frac{1}{2}$. *Wait, looking closer at the first shape on the left.* The diamond is split into 4 triangles. One is shaded. That is $\frac{1}{4}$. The pentagon is split into 5 triangles from the center. One is shaded. That is $\frac{1}{5}$. Let me re-read the prompt. Ah, I see the instruction says "Circle the shape that shows...". Let's look at the right side.
* Right Side ($\frac{1}{4}$): We have two circles.
* The first circle is split into 4 equal parts (quarters). 1 part is green. This represents $\frac{1}{4}$.
* The second circle is split into 3 equal parts. 1 part is yellow. This represents $\frac{1}{3}$.
* Answer: Circle the first circle (the one with 4 parts).

*Let's re-evaluate Row 1 Left Side.* The text says "Circle the shape that shows $\frac{1}{2}$".
* Shape 1: A rhombus divided into 4 small triangles. 1 is shaded. This is $\frac{1}{4}$.
* Shape 2: A pentagon divided into 5 small triangles. 1 is shaded. This is $\frac{1}{5}$.
* *Correction*: Looking very closely at the first image provided in the crop hints or just standard logic... usually, these worksheets have a correct answer. Let me look at the other rows to ensure I understand the pattern. Maybe I am misinterpreting the first shape. Is it possible the first shape is actually split in half? No, the lines clearly go to the corners. It creates 4 triangles.
* Let's look at the second shape in Row 1 Left again. It's a pentagon. The lines go from the center to the vertices. That makes 5 triangles.
* Is it possible the question asks for $\frac{1}{5}$? No, the text clearly says $\frac{1}{2}$.
* Let's look at the other options in the whole sheet.
* Row 2 Left: $\frac{1}{5}$. Pentagon with 1/5 shaded vs Pentagon with 2/5 shaded. Correct is the one with 1 shaded.
* Row 2 Right: $\frac{2}{8}$. Circle with 2/8 shaded vs Circle with 3/8 shaded. Correct is the one with 2 shaded.
* Row 3 Left: $\frac{3}{8}$. Circle with 3/8 shaded vs Pentagon with 1/5 shaded. Correct is the circle.
* Row 3 Right: $\frac{5}{9}$? No, looks like $\frac{5}{8}$ or $\frac{5}{9}$. Let's count the rectangle. It has 9 squares total (3x3 grid). 5 are shaded. So the fraction is $\frac{5}{9}$. The circle next to it has 8 parts, 3 shaded ($\frac{3}{8}$). So the rectangle is the answer for $\frac{5}{9}$.
* Row 4 Left: $\frac{1}{3}$. Circle with 1/3 shaded (yellow) vs Circle with 1/12 shaded? No, the second circle has 12 slices, 1 shaded. So $\frac{1}{12}$. The first circle has 3 big slices, 1 shaded. That is $\frac{1}{3}$. Correct is the yellow circle.
* Row 4 Right: $\frac{3}{4}$. Circle with 6/8 shaded ($\frac{3}{4}$) vs Circle with 5/8 shaded. Wait, 6/8 simplifies to 3/4. The first circle has 6 green slices out of 8. The second has 5 green slices out of 8. So the first circle is $\frac{6}{8} = \frac{3}{4}$. Correct is the first circle.

*Back to Row 1 Left:* "Circle the shape that shows $\frac{1}{2}$".
* Shape 1: Rhombus. Divided into 4 triangles. 1 shaded. $\frac{1}{4}$.
* Shape 2: Pentagon. Divided into 5 triangles. 1 shaded. $\frac{1}{5}$.
* There seems to be an error in the worksheet itself for the top-left question, OR I am missing something subtle. Let me look really closely at the first shape again. Is it possible the shading covers two triangles? No, it's just one grey triangle.
* Let's look at the second shape again. Is it possible it's not a pentagon? It has 5 sides.
* Let's look at the Right Side of Row 1 again. "Circle the shape that shows $\frac{1}{4}$".
* Circle 1: 4 parts, 1 green. This is definitely $\frac{1}{4}$.
* Circle 2: 3 parts, 1 yellow. This is $\frac{1}{3}$.
* So for the top-right, the answer is the left circle.

*Re-evaluating Top-Left:* Is it possible the text says $\frac{1}{4}$? The image resolution is a bit blurry on the number. But compared to the $\frac{1}{4}$ on the right, the denominator looks like a '2'. However, given the shapes, neither is $\frac{1}{2}$. If the text was $\frac{1}{4}$, the answer would be the rhombus. If the text was $\frac{1}{5}$, the answer would be the pentagon. Given the visual similarity of '2' and '5' in some fonts, or perhaps a typo in the book...
* Actually, let's look at the shape boundaries. The rhombus is divided by its diagonals. That creates 4 congruent triangles. Shading one is $\frac{1}{4}$.
* The pentagon is divided from center to vertices. That creates 5 congruent triangles. Shading one is $\frac{1}{5}$.
* If I *must* choose, and assuming there is no typo, I cannot answer it correctly. But usually, in these helpers, if there's an ambiguity, I should point out the most likely intended answer or describe the correct matching.
* Let's look at the other rows again. They all have clear answers.
* Row 2 Left: $\frac{1}{5}$. Left shape is pentagon with 1/5 shaded. Right shape is pentagon with 2/5 shaded. Answer: Left Shape.
* Row 2 Right: $\frac{2}{8}$. Left circle has 2/8 shaded. Right circle has 3/8 shaded. Answer: Left Circle.
* Row 3 Left: $\frac{3}{8}$. Left circle has 3/8 shaded. Right shape is pentagon with 1/5 shaded. Answer: Left Circle.
* Row 3 Right: $\frac{5}{9}$. Left shape is a 3x3 grid (9 squares) with 5 shaded. Right circle is 8 parts with 3 shaded. Answer: Left Rectangle/Grid.
* Row 4 Left: $\frac{1}{3}$. Left circle has 3 parts, 1 shaded. Right circle has 12 parts, 1 shaded. Answer: Left Circle.
* Row 4 Right: $\frac{3}{4}$. Left circle has 8 parts, 6 shaded ($\frac{6}{8}=\frac{3}{4}$). Right circle has 8 parts, 5 shaded. Answer: Left Circle.

*Conclusion on Row 1 Left:* It is highly probable that the question contains a typo and meant to ask for $\frac{1}{4}$ (matching the rhombus) or $\frac{1}{5}$ (matching the pentagon). However, looking at the layout, often the "distractor" is a different fraction. If the question is indeed $\frac{1}{2}$, neither is correct. But wait! Look at the first shape again. Is it a square rotated? Yes. Is it possible the vertical line is the only divider? No, there is a horizontal line too.
* Let's assume the question text is actually $\frac{1}{4}$ because the '2' might be a blurry '4'? Or maybe the shape is interpreted differently? No, geometry is precise.
* Let's assume the question text is $\frac{1}{5}$? The '2' doesn't look like a '5'.
* Let's look at the Right Side of Row 1 again. It asks for $\frac{1}{4}$. The answer is the circle with 4 sections.
* For the purpose of helping the student, I will identify the correct shapes for the questions where the math works out perfectly, and note the issue with the first one if necessary, or simply provide the best fit.
* Actually, looking at the very first crop, the text for the top left is "Circle the shape that shows $\frac{1}{2}$". The shapes are a rhombus (1/4 shaded) and a pentagon (1/5 shaded). This is definitely an error in the worksheet.
* *However*, sometimes in these low-res images, a shape might be split in half. Is the pentagon split in half? No. Is the rhombus split in half? No.
* I will provide the answers for the clear ones and explain the likely intended answer for the problematic one. The rhombus represents $\frac{1}{4}$ and the pentagon represents $\frac{1}{5}$. Since the other question in that row asks for $\frac{1}{4}$, it is unlikely the left one is also $\frac{1}{4}$. It is most likely a typo for $\frac{1}{5}$ or the shapes are swapped from a different version.
* *Alternative interpretation*: Could the first shape be considered "1 out of 2 halves"? No, it's clearly quartered.
* I will proceed with the answers that are mathematically verifiable. For the top-left, I will state that neither shape is $\frac{1}{2}$, but the rhombus is $\frac{1}{4}$ and the pentagon is $\frac{1}{5}$. If forced to guess the teacher's intent, they might have made a typo. But I will focus on the clear answers.

Let's double check Row 3 Right. The fraction is $\frac{5}{9}$.
* Rectangle: 3 rows x 3 columns = 9 squares. 5 are grey. This is $\frac{5}{9}$.
* Circle: 8 slices. 3 are green. This is $\frac{3}{8}$.
* So the Rectangle is the correct choice.

Let's double check Row 4 Right. The fraction is $\frac{3}{4}$.
* Left Circle: 8 slices. 6 are green. $\frac{6}{8}$ simplifies to $\frac{3}{4}$.
* Right Circle: 8 slices. 5 are green. $\frac{5}{8}$.
* So the Left Circle is the correct choice.

Summary of Answers:

1. Top Left ($\frac{1}{2}$): *Note: There appears to be a mistake in the worksheet. The rhombus shows $\frac{1}{4}$ and the pentagon shows $\frac{1}{5}$. Neither shows $\frac{1}{2}$. If you must choose, check with your teacher, but technically neither is correct.*
2. Top Right ($\frac{1}{4}$): Circle the left circle (the one divided into 4 parts with 1 green section).
3. Second Row Left ($\frac{1}{5}$): Circle the left pentagon (the one with only 1 blue section shaded).
4. Second Row Right ($\frac{2}{8}$): Circle the left circle (the one with 2 green sections shaded).
5. Third Row Left ($\frac{3}{8}$): Circle the left circle (the one with 3 green sections shaded).
6. Third Row Right ($\frac{5}{9}$): Circle the rectangle/grid (the one with 5 grey squares).
7. Bottom Left ($\frac{1}{3}$): Circle the left circle (the yellow one divided into 3 parts).
8. Bottom Right ($\frac{3}{4}$): Circle the left circle (the one with 6 green sections, which equals $\frac{3}{4}$).

Final Answer:
Here are the correct shapes to circle for each problem:

* Row 1, Left ($\frac{1}{2}$): There is likely a typo in this question. The rhombus shows $\frac{1}{4}$ and the pentagon shows $\frac{1}{5}$. Neither is $\frac{1}{2}$.
* Row 1, Right ($\frac{1}{4}$): Circle the first circle (split into 4 parts).
* Row 2, Left ($\frac{1}{5}$): Circle the first pentagon (with 1 part shaded).
* Row 2, Right ($\frac{2}{8}$): Circle the first circle (with 2 parts shaded).
* Row 3, Left ($\frac{3}{8}$): Circle the first circle (with 3 parts shaded).
* Row 3, Right ($\frac{5}{9}$): Circle the rectangle (with 5 squares shaded).
* Row 4, Left ($\frac{1}{3}$): Circle the first circle (the yellow one).
* Row 4, Right ($\frac{3}{4}$): Circle the first circle (with 6 parts shaded, because $\frac{6}{8}$ is the same as $\frac{3}{4}$).