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Fraction practice worksheet with visual exercises on shading shapes and groups to represent fractions.

A worksheet titled "Fractions" featuring exercises on identifying and shading parts of shapes and groups to represent fractions, including multiple-choice questions and drawing tasks.

A worksheet titled "Fractions" featuring exercises on identifying and shading parts of shapes and groups to represent fractions, including multiple-choice questions and drawing tasks.

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Show Answer Key & Explanations Step-by-step solution for: Fractions Practice Worksheet Packet for 6th Grade Math - TeacherVision
Let’s go through each question step by step.

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Question 1: What part of each shape has been shaded?

We count how many equal parts the shape is divided into, and how many are shaded.

a. Rectangle divided into 6 equal parts, 2 shaded → 2/6 (can simplify to 1/3, but we’ll keep as is unless asked)

b. Triangle divided into 4 equal parts, 1 shaded → 1/4

c. Circle divided into 8 equal parts, 3 shaded → 3/8

d. Rectangle divided into 3 equal parts, 1 shaded → 1/3

e. Diamond (rhombus) divided into 6 equal parts, 5 shaded → 5/6

f. Rectangle divided into 10 equal parts, 7 shaded → 7/10

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Question 2: What part has NOT been shaded?

This means: total parts minus shaded parts = unshaded parts.

a. Total 6, shaded 2 → unshaded = 4 → 4/6

b. Total 4, shaded 1 → unshaded = 3 → 3/4

c. Total 8, shaded 3 → unshaded = 5 → 5/8

d. Total 3, shaded 1 → unshaded = 2 → 2/3

e. Total 6, shaded 5 → unshaded = 1 → 1/6

f. Total 10, shaded 7 → unshaded = 3 → 3/10

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

You need to divide the shape into the denominator number of equal parts, then shade the numerator number.

a. 1/3 → Divide rectangle into 3 equal parts, shade 1.

b. 3/4 → Divide circle into 4 equal parts, shade 3.

c. 3/5 → Divide rectangle into 5 equal parts, shade 3.

d. 2/5 → Divide pentagon into 5 equal parts, shade 2.

e. 1/2 → Divide square into 2 equal parts, shade 1.

f. 5/8 → Divide rectangle into 8 equal parts, shade 5.

*(Note: Since this is text-based, I can’t draw, but you would do this on paper.)*

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

Count total items in group, count shaded ones.

a. 9 circles total, 5 shaded → 5/9

b. 8 squares total, 3 shaded → 3/8

c. 10 diamonds total, 4 shaded → 4/10

d. 6 ovals total, 2 shaded → 2/6

e. 12 triangles total, 7 shaded → 7/12

f. 12 stars total, 5 shaded → 5/12

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Question 5: Draw groups and shade to represent the fractions.

Again, you’d draw these:

a. 4/7 of the circles → Draw 7 circles, shade 4.

b. 4/7 of the squares → Draw 7 squares, shade 4.

c. 6/7 of the triangles → Draw 7 triangles, shade 6.

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

Step 1: Find how many are broken.

2/3 of 24 = (2 × 24) ÷ 3 = 48 ÷ 3 = 16 broken

Step 2: Subtract from total to find unbroken.

24 - 16 = 8 not broken

Alternatively: If 2/3 are broken, then 1/3 are not broken.

1/3 of 24 = 24 ÷ 3 = 8

Same answer!

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Final Answer:
For Question 6: 8 pencils are not broken.
Parent Tip: Review the logic above to help your child master the concept of sixth grade math worksheet with answers.
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