Fraction practice worksheet with exercises on identifying and shading parts of shapes and groups.

Let's go through each question in the worksheet step by step and solve them.

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Question 1: What part of each of the following shapes has been shaded?

We need to determine the fraction of each shape that is shaded.

a. A rectangle divided into 6 equal parts, 2 are shaded.
→ Fraction shaded = $ \frac{2}{6} = \frac{1}{3} $

b. A triangle divided into 4 equal parts, 3 are shaded.
→ Fraction shaded = $ \frac{3}{4} $

c. A circle divided into 8 equal parts, 5 are shaded.
→ Fraction shaded = $ \frac{5}{8} $

d. A rectangle divided into 4 equal parts, 1 is shaded.
→ Fraction shaded = $ \frac{1}{4} $

e. A hexagon divided into 6 equal parts, 4 are shaded.
→ Fraction shaded = $ \frac{4}{6} = \frac{2}{3} $

f. A rectangle divided into 8 equal parts, 6 are shaded.
→ Fraction shaded = $ \frac{6}{8} = \frac{3}{4} $

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Question 2: What part of each shape in question 1 has not been shaded?

Subtract the shaded fraction from 1 (whole).

a. $ 1 - \frac{1}{3} = \frac{2}{3} $

b. $ 1 - \frac{3}{4} = \frac{1}{4} $

c. $ 1 - \frac{5}{8} = \frac{3}{8} $

d. $ 1 - \frac{1}{4} = \frac{3}{4} $

e. $ 1 - \frac{2}{3} = \frac{1}{3} $

f. $ 1 - \frac{3}{4} = \frac{1}{4} $

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Question 3: Shade each shape to show the given fraction.

These are drawing tasks. Here’s what you should shade:

a. $ \frac{3}{4} $ of a rectangle → Divide into 4 parts, shade 3.

b. $ \frac{1}{2} $ of a circle → Divide into 2 equal parts, shade 1.

c. $ \frac{7}{10} $ of a rectangle → Divide into 10 parts, shade 7.

d. $ \frac{2}{5} $ of a pentagon → Divide into 5 equal sections, shade 2.

e. $ \frac{3}{4} $ of a square → Divide into 4 parts, shade 3.

f. $ \frac{5}{6} $ of a rectangle → Divide into 6 parts, shade 5.

*(Note: Since this is text-based, you would draw these on paper.)*

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Question 4: What part of each group has been shaded?

Now we’re dealing with groups of objects.

a. 6 circles, 4 shaded → $ \frac{4}{6} = \frac{2}{3} $

b. 9 triangles, 6 shaded → $ \frac{6}{9} = \frac{2}{3} $

c. 12 stars, 8 shaded → $ \frac{8}{12} = \frac{2}{3} $

d. 8 diamonds, 5 shaded → $ \frac{5}{8} $

e. 10 triangles, 7 shaded → $ \frac{7}{10} $

f. 15 stars, 9 shaded → $ \frac{9}{15} = \frac{3}{5} $

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Question 5: In the space below, draw groups of shapes and shade them to represent the following.

Again, these are drawing tasks. Here’s how to approach them:

a. $ \frac{4}{5} $ of the circles
→ Draw 5 circles, shade 4.

b. $ \frac{2}{3} $ of the squares
→ Draw 3 squares, shade 2.

c. $ \frac{5}{6} $ of the triangles
→ Draw 6 triangles, shade 5.

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Question 6: If $ \frac{3}{4} $ of a set of pencils are broken, and there are 24 pencils in a set, how many pencils are not broken?

Total pencils = 24
Fraction broken = $ \frac{3}{4} $

So, number of broken pencils = $ \frac{3}{4} \times 24 = 18 $

Therefore, number not broken = $ 24 - 18 = 6 $

✔ Answer: 6 pencils are not broken.

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✔ Final Answers Summary:

Q1:
a. $ \frac{1}{3} $ b. $ \frac{3}{4} $ c. $ \frac{5}{8} $ d. $ \frac{1}{4} $ e. $ \frac{2}{3} $ f. $ \frac{3}{4} $

Q2:
a. $ \frac{2}{3} $ b. $ \frac{1}{4} $ c. $ \frac{3}{8} $ d. $ \frac{3}{4} $ e. $ \frac{1}{3} $ f. $ \frac{1}{4} $

Q3: Draw as described above.

Q4:
a. $ \frac{2}{3} $ b. $ \frac{2}{3} $ c. $ \frac{2}{3} $ d. $ \frac{5}{8} $ e. $ \frac{7}{10} $ f. $ \frac{3}{5} $

Q5: Draw as described.

Q6: 6 pencils are not broken.

Let me know if you'd like a visual version or printable guide!