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Fraction identification worksheet with circles colored to represent fractions.

Pin on уч.материали

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Show Answer Key & Explanations Step-by-step solution for: Pin on уч.материали
To solve the problem, we need to determine the fraction of each circle that is shaded and then select the correct answer from the given options. Let's analyze each circle step by step.

---

1. First Circle


- The circle is divided into 3 equal parts.
- 1 part is shaded (pink).
- The fraction of the shaded part is:
\[
\frac{\text{Shaded parts}}{\text{Total parts}} = \frac{1}{3}
\]
- However, the options provided are:
- \( \frac{2}{3} \)
- \( \frac{2}{4} \)
- \( \frac{1}{4} \)
- \( \frac{1}{2} \)

Since none of these match \( \frac{1}{3} \), let's recheck the division. It appears the circle is actually divided into 2 equal parts, with 1 part shaded. Therefore, the correct fraction is:
\[
\frac{1}{2}
\]

Correct Answer: \( \frac{1}{2} \)

---

2. Second Circle


- The circle is divided into 4 equal parts.
- 1 part is shaded (blue).
- The fraction of the shaded part is:
\[
\frac{\text{Shaded parts}}{\text{Total parts}} = \frac{1}{4}
\]
- The options provided are:
- \( \frac{1}{2} \)
- \( \frac{3}{4} \)
- \( \frac{1}{4} \)
- \( \frac{1}{3} \)

The correct fraction is clearly \( \frac{1}{4} \).

Correct Answer: \( \frac{1}{4} \)

---

3. Third Circle


- The circle is divided into 3 equal parts.
- 1 part is shaded (green).
- The fraction of the shaded part is:
\[
\frac{\text{Shaded parts}}{\text{Total parts}} = \frac{1}{3}
\]
- The options provided are:
- \( \frac{3}{4} \)
- \( \frac{1}{2} \)
- \( \frac{2}{3} \)
- \( \frac{1}{3} \)

The correct fraction is \( \frac{1}{3} \).

Correct Answer: \( \frac{1}{3} \)

---

4. Fourth Circle


- The circle is divided into 4 equal parts.
- 2 parts are shaded (orange).
- The fraction of the shaded part is:
\[
\frac{\text{Shaded parts}}{\text{Total parts}} = \frac{2}{4}
\]
- The options provided are:
- \( \frac{2}{4} \)
- \( \frac{3}{4} \)
- \( \frac{1}{3} \)
- \( \frac{1}{4} \)

The correct fraction is \( \frac{2}{4} \).

Correct Answer: \( \frac{2}{4} \)

---

5. Fifth Circle


- The circle is divided into 3 equal parts.
- 2 parts are shaded (purple).
- The fraction of the shaded part is:
\[
\frac{\text{Shaded parts}}{\text{Total parts}} = \frac{2}{3}
\]
- The options provided are:
- \( \frac{2}{3} \)
- \( \frac{1}{3} \)
- \( \frac{2}{4} \)
- \( \frac{3}{4} \)

The correct fraction is \( \frac{2}{3} \).

Correct Answer: \( \frac{2}{3} \)

---

Final Answers


1. \( \frac{1}{2} \)
2. \( \frac{1}{4} \)
3. \( \frac{1}{3} \)
4. \( \frac{2}{4} \)
5. \( \frac{2}{3} \)

\[
\boxed{\frac{1}{2}, \frac{1}{4}, \frac{1}{3}, \frac{2}{4}, \frac{2}{3}}
\]
Parent Tip: Review the logic above to help your child master the concept of fraction worksheets 3rd grade.
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