Let's solve the problems step by step:
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1. Find the unit fraction represented by the shapes below.
-
Triangle: The triangle is divided into 3 equal parts, and 1 part is shaded. So, the unit fraction is
1/3.
-
Square: The square is divided into 4 equal parts, and 1 part is shaded. So, the unit fraction is
1/4.
-
Circle: The circle is divided into 4 equal parts, and 1 part is shaded. So, the unit fraction is
1/4.
Answer:
- Triangle:
1/3
- Square:
1/4
- Circle:
1/4
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2. Shade the shapes below.
-
Circle (1/2): Shade half of the circle.
-
Rectangle (1/3): Divide the rectangle into 3 equal parts and shade 1 part.
-
Hexagon (1/4): Divide the hexagon into 4 equal parts and shade 1 part.
Instructions:
- For the circle, shade exactly half.
- For the rectangle, divide it into 3 equal vertical or horizontal sections and shade one section.
- For the hexagon, divide it into 4 equal triangular sections and shade one section.
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3. Use the picture to complete the fraction.
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Cats: There are 4 cats in total, and 1 cat is circled. So, the fraction is
1/4.
-
Chickens: There are 3 chickens in total, and 1 chicken is circled. So, the fraction is
1/3.
Answer:
- Cats:
1/4
- Chickens:
1/3
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4. What is the fraction of the objects circled?
-
Carrots: There are 2 carrots in total, and 1 carrot is circled. So, the fraction is
1/2.
-
Flowers: There are 3 flowers in total, and 1 flower is circled. So, the fraction is
1/3.
Answer:
- Carrots:
1/2
- Flowers:
1/3
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5. Draw a line from the fraction to the picture that represents it.
-
1/3: The picture with 3 hearts, where 1 heart is shaded, represents
1/3.
-
1/2: The picture with a square divided into 2 equal parts, where 1 part is shaded, represents
1/2.
-
1/4: The picture with 4 ice creams, where 1 ice cream is shaded, represents
1/4.
Answer:
-
1/3 → Hearts
-
1/2 → Square
-
1/4 → Ice creams
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6. This is a fraction of the total…
The image shows
1/2 = ★★★★, meaning there are 4 stars in total, and 2 stars are highlighted.
-
How many are there in 1/4?
- If 1/2 is 2 stars, then 1/4 would be half of that, which is
1 star.
-
How many are there in total?
- There are
4 stars in total.
Answer:
- In 1/4:
1
- Total:
4
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7. Pip says…
Pip claims that
1/4 of 4 is more than 1/2 of 4 because 4 is larger than 2.
-
1/4 of 4: \( \frac{1}{4} \times 4 = 1 \)
-
1/2 of 4: \( \frac{1}{2} \times 4 = 2 \)
Clearly,
1/4 of 4 (which is 1) is
not more than 1/2 of 4 (which is 2). Therefore, Pip is
incorrect.
Answer:
- False. Explanation: 1/4 of 4 is 1, and 1/2 of 4 is 2. Since 1 is less than 2, Pip's statement is incorrect.
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8. True or False? Explain why.
The question asks if
1/2 of the shape is shaded.
- The shape is a rectangle divided into 2 equal parts, and 1 part is shaded. This means
1/2 of the shape is indeed shaded.
Answer:
- True. Explanation: The shape is divided into 2 equal parts, and 1 part is shaded, which represents 1/2.
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Final Answers:
1. Triangle:
1/3, Square:
1/4, Circle:
1/4
2. Shade as instructed (half of the circle, 1/3 of the rectangle, 1/4 of the hexagon).
3. Cats:
1/4, Chickens:
1/3
4. Carrots:
1/2, Flowers:
1/3
5.
1/3 → Hearts,
1/2 → Square,
1/4 → Ice creams
6. In 1/4:
1, Total:
4
7.
False. Explanation: 1/4 of 4 is 1, and 1/2 of 4 is 2. Since 1 is less than 2, Pip's statement is incorrect.
8.
True. Explanation: The shape is divided into 2 equal parts, and 1 part is shaded, which represents 1/2.
Boxed Final Answer:
\[
\boxed{1/3, 1/4, 1/4; 1/2, 1/3; 1/4, 1/3; 1, 4; False; True}
\]
Parent Tip: Review the logic above to help your child master the concept of unit fraction worksheet.
