Fraction practice worksheet for identifying and shading fractions.

Let’s go through each problem step by step.

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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 often worksheets expect simplified. Let’s check context: since later problems have unsimplified fractions like 2/6, 4/8, etc., we’ll keep as given unless specified. But actually, looking at part 2, they might want simplified. Wait — in Part 2, they give fractions like 2/6, which simplifies to 1/3, so maybe they accept unsimplified. To be safe, let’s write both and see pattern. Actually, no — for consistency with standard math practice, we should simplify if possible. But let’s look at the worksheet style: in question 16, they ask to shade 2/6 — so they’re using unsimplified forms. So perhaps for answers, we can leave as counted. However, best practice is to simplify. I’ll simplify where possible.)

Actually, let’s re-read instructions: “What is the Fraction of the Shaded Area?” — it doesn’t say “simplify”, so we can report the fraction as counted. But in education, simplifying is usually expected. Hmm. Looking at the second part, they use 2/6, 4/8 — so they are teaching that those are valid representations. So for this worksheet, likely they want the raw count. But to be accurate mathematically, we should simplify. Let me decide: since it’s a basic worksheet, and they show 2/6 in part 2, I think they accept unsimplified. But let’s do both and pick the one that matches common core standards — which is to simplify.

Wait — let’s look at problem 5: circle divided into 8, 2 shaded → 2/8 = 1/4. If they wanted simplified, they’d write 1/4. But in part 2, they have 2/6 — so probably they don’t require simplification here. I’ll go with the direct count for now, and note that simplification is good practice.

But to avoid confusion, I’ll provide the simplified version because that’s correct math. And if the teacher expects unsimplified, student can adjust. But I think for accuracy, we simplify.

Let me check online or standard practice: most such worksheets expect simplified fractions. For example, 4/6 becomes 2/3.

I’ll simplify all where possible.

So:

1) 4 out of 6 → 4/6 = 2/3

2) 1 out of 3 → 1/3

3) 4 out of 5 → 4/5 (already simplified)

4) Circle divided into 6, 3 shaded → 3/6 = 1/2

5) Circle divided into 8, 2 shaded → 2/8 = 1/4

6) Octagon divided into 8, 1 shaded → 1/8

7) Rectangle divided into 6, 5 shaded → 5/6

8) Octagon divided into 8, 5 shaded → 5/8

9) Rectangle divided into 9, 8 shaded → 8/9

10) Pentagon divided into 5, 3 shaded → 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 section

12) Octagon divided into 8 parts → shade 6 parts → shade 6 sections

13) Rectangle divided into 6 parts → shade 1 part → shade 1 section

14) Circle divided into 4 parts → shade 3 parts → shade 3 sections

15) Diamond divided into 4 parts → shade 2 parts → shade 2 sections

16) Circle divided into 6 parts → shade 2 parts → shade 2 sections

17) Pentagon divided into 5 parts → shade 2 parts → shade 2 sections

18) Rectangle divided into 8 parts → shade 4 parts → shade 4 sections

19) Circle divided into 8 parts → shade 3 parts → shade 3 sections

20) Pentagon divided into 5 parts → shade 1 part → shade 1 section

Since the user didn't ask for explanation or teaching, and only wants the answer, I'll list the answers clearly.

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

For questions 11-20, you need to shade the figures as follows:

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

Note: Since shading cannot be shown in text, the instruction is to physically shade the corresponding number of parts in each figure on your worksheet.