Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

Let’s go step by step to solve each problem.

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Part 1: What is the Fraction of the Shaded Area?

We count how many parts are shaded (numerator) and how many total equal parts there are (denominator).

1) Rectangle divided into 6 equal parts, 4 shaded → 4/6
*(Can simplify to 2/3, but unless asked, we leave as is — though in most school worksheets, they expect simplified form. Let’s check: 4÷2=2, 6÷2=3 → 2/3)*
But looking at other problems, some aren’t simplified. Wait — let’s see what’s expected. Actually, for accuracy, we’ll write the fraction as shown, then simplify if needed. But since the worksheet doesn’t specify, and to match common practice, we’ll give simplified fractions where possible.

Actually, let’s be consistent: Count shaded over total, then reduce if it reduces evenly.

But wait — looking at problem 12 later: 6/8 is given, which reduces to 3/4, but they wrote 6/8. So maybe they want unsimplified? Hmm.

Wait — no, in Part 1, we’re finding the fraction from the picture. In Part 2, they give the fraction and you shade. So for Part 1, we should write the fraction that matches the shading — simplest form is usually expected unless told otherwise.

But to be safe, let’s look at examples:

Problem 1: 4 out of 6 → 4/6 = 2/3
Problem 2: 1 out of 3 → 1/3
Problem 3: 4 out of 5 → 4/5
Problem 4: Circle divided into 6 parts, 3 shaded → 3/6 = 1/2
Problem 5: Circle divided into 8 parts, 2 shaded → 2/8 = 1/4
Problem 6: Octagon divided into 8 parts, 1 shaded → 1/8
Problem 7: Rectangle divided into 6 parts, 5 shaded → 5/6
Problem 8: Octagon divided into 8 parts, 5 shaded → 5/8
Problem 9: Rectangle divided into 9 parts, 8 shaded → 8/9
Problem 10: Pentagon divided into 5 parts, 3 shaded → 3/5

Wait — let me double-check each one carefully.

1) Orange bars: 6 total sections, 4 shaded → 4/6 → simplify → 2/3

But hold on — sometimes worksheets accept either. Since this is for a student, and to avoid confusion, I’ll provide the simplified version because that’s standard in math class unless specified.

Actually, let’s verify with problem 4: circle split into 6 slices, 3 purple → 3/6 = 1/2. That’s clear.

Similarly, problem 5: 8 slices, 2 gray → 2/8 = 1/4.

So yes, simplify.

But wait — problem 12 in Part 2 says “shade 6/8” — so they use unsimplified there. But in Part 1, when asking “what is the fraction”, they likely expect simplified.

To be precise, let’s do both: calculate exact, then simplify.

I think for correctness, we’ll write the reduced fraction.

Final decision: Simplify all fractions in Part 1.

So:

1) 4/6 = 2/3

2) 1/3 → already simplified → 1/3

3) 4/5 → already simplified → 4/5

4) 3/6 = 1/2

5) 2/8 = 1/4

6) 1/8 → 1/8

7) 5/6 → 5/6

8) 5/8 → 5/8

9) 8/9 → 8/9

10) 3/5 → 3/5

Now Part 2: Shade the figure with the indicated fraction.

This means: divide the shape into the denominator number of equal parts, then shade the numerator number of them.

11) Circle divided into 4 parts → shade 1 part → shade 1 out of 4

12) Octagon divided into 8 parts → shade 6 parts → shade 6 out of 8

13) Rectangle divided into 6 parts → shade 1 part → shade 1 out of 6

14) Circle divided into 4 parts → shade 3 parts → shade 3 out of 4

15) Diamond divided into 4 parts → shade 2 parts → shade 2 out of 4

16) Circle divided into 6 parts → shade 2 parts → shade 2 out of 6

17) Pentagon divided into 5 parts → shade 2 parts → shade 2 out of 5

18) Rectangle divided into 8 parts → shade 4 parts → shade 4 out of 8

19) Circle divided into 8 parts → shade 3 parts → shade 3 out of 8

20) Pentagon divided into 5 parts → shade 1 part → shade 1 out of 5

Note: For shading tasks, since we can’t actually draw here, we describe what to shade.

But the question is to “solve the problem accurately” — so for Part 1, we give the fraction; for Part 2, we state how many parts to shade.

Since the user said “solve the problem”, and it’s a worksheet, we need to provide answers for all 20 items.

Let me list them clearly.

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Final Answers:

Part 1: Fractions of shaded area (simplified):

1) 2/3
2) 1/3
3) 4/5
4) 1/2
5) 1/4
6) 1/8
7) 5/6
8) 5/8
9) 8/9
10) 3/5

Part 2: How many parts to shade (based on given fraction):

11) Shade 1 part out of 4
12) Shade 6 parts out of 8
13) Shade 1 part out of 6
14) Shade 3 parts out of 4
15) Shade 2 parts out of 4
16) Shade 2 parts out of 6
17) Shade 2 parts out of 5
18) Shade 4 parts out of 8
19) Shade 3 parts out of 8
20) Shade 1 part out of 5

Wait — but for Part 2, the instruction is “Shade the Figure”, so technically, the answer is the action of shading. But since we’re text-based, describing it is fine.

Alternatively, perhaps the expected answer for Part 2 is just confirming the fraction is correctly interpreted — but I think stating how many to shade is sufficient.

Another thought: Maybe for Part 2, since it’s “shade”, and we can’t, we just note that the student should shade accordingly — but the problem says “solve”, so providing the count is okay.

I think this is correct.

Let me verify a couple again.

Problem 1: 6 rectangles, 4 orange → 4/6 = 2/3 ✔️

Problem 4: Circle, 6 sectors, 3 purple → 3/6 = 1/2 ✔️

Problem 5: 8 sectors, 2 gray → 2/8 = 1/4 ✔️

Problem 10: Pentagon, 5 triangles, 3 green → 3/5 ✔️

Part 2:

11) 1/4 of circle → shade 1 of 4 ✔️

12) 6/8 of octagon → shade 6 of 8 ✔️

All seem correct.

So final answer will list all 20.

But the format says “Final Answer: [Provide only the final correct answer]”

So I need to present it neatly.

Perhaps as a list.

Since it's 20 items, I'll write them in order.

Final Answer:

1) 2/3
2) 1/3
3) 4/5
4) 1/2
5) 1/4
6) 1/8
7) 5/6
8) 5/8
9) 8/9
10) 3/5
11) Shade 1 part
12) Shade 6 parts
13) Shade 1 part
14) Shade 3 parts
15) Shade 2 parts
16) Shade 2 parts
17) Shade 2 parts
18) Shade 4 parts
19) Shade 3 parts
20) Shade 1 part

For Part 2, specifying "out of X" might be redundant since the figure shows the divisions, but to be clear, I included the total in my reasoning. However, for brevity in final answer, since the figure is provided, just saying "shade N parts" is enough.

Yes.

So this should be accurate.