Fraction practice worksheet with visual exercises for identifying and shading fractions.

I'll solve this fractions worksheet step by step.

Let me start by examining each question and providing the answers with explanations.

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

a. Rectangle divided into 4 equal parts, 2 shaded → 2/4 = 1/2
b. Triangle divided into 3 equal parts, 1 shaded → 1/3
c. Circle divided into 8 equal parts, 3 shaded → 3/8
d. Rectangle divided into 2 equal parts, 1 shaded → 1/2
e. Hexagon divided into 6 equal parts, 3 shaded → 3/6 = 1/2
f. Rectangle divided into 6 equal parts, 2 shaded → 2/6 = 1/3

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

This is the complement of question 1 (1 minus the fraction from question 1):

a. 1 - 1/2 = 1/2
b. 1 - 1/3 = 2/3
c. 1 - 3/8 = 5/8
d. 1 - 1/2 = 1/2
e. 1 - 1/2 = 1/2
f. 1 - 1/3 = 2/3

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

This is a drawing task where you would need to shade:
a. 1/4 of the rectangle (shade 1 out of 4 equal parts)
b. 1/2 of the circle (shade half of it)
c. 3/4 of the rectangle (shade 3 out of 4 equal parts)
d. 2/5 of the pentagon (divide into 5 equal parts and shade 2)
e. 3/4 of the square (shade 3 out of 4 equal parts)
f. 4/9 of the rectangle (divide into 9 equal parts and shade 4)

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

a. 7 circles total, 3 shaded → 3/7
b. 4 squares total, 2 shaded → 2/4 = 1/2
c. 10 stars total, 4 shaded → 4/10 = 2/5
d. 6 ovals total, 2 shaded → 2/6 = 1/3
e. 9 triangles total, 5 shaded → 5/9
f. 12 stars total, 6 shaded → 6/12 = 1/2

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

This is a drawing task:
a. 1/4 of the circles (draw 4 circles, shade 1)
b. 3/4 of the squares (draw 4 squares, shade 3)
c. 2/3 of the triangles (draw 3 triangles, shade 2)

Question 6: If 2/3 of a set of pencils are broken, and there are 24 pencils in a set, how many pencils are not broken?

To solve this:
- Total pencils = 24
- Broken pencils = 2/3 × 24 = 16
- Not broken pencils = 24 - 16 = 8

Alternatively: Since 2/3 are broken, 1/3 are not broken.
- Not broken pencils = 1/3 × 24 = 8

The answer is 8 pencils are not broken.