Fraction identification worksheet with various geometric shapes.

Let’s go through each shape one by one and figure out what fraction is shaded.

We’ll count:
- How many equal parts the whole shape is divided into (denominator)
- How many of those parts are shaded (numerator)

Then we write it as a fraction: shaded / total

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a. Square divided into 4 triangles → 3 shaded
→ Fraction = 3/4

b. Circle divided into 8 slices → 5 shaded
→ Fraction = 5/8

c. Triangle divided into 2 equal parts → 1 shaded
→ Fraction = 1/2

d. Big triangle made of 4 small triangles → 3 shaded
→ Fraction = 3/4

e. Rectangle divided into 6 squares → 3 shaded
→ Fraction = 3/6 → which simplifies to 1/2

*(Note: We can leave it as 3/6 if not asked to simplify, but usually we simplify. Let’s check instructions — none say “simplify”, so we can give both or just simplified. Since this is for students, let’s give simplified unless told otherwise. But looking at other answers, some aren’t simplified — like 3/6 might be acceptable. Actually, in elementary fractions, they often accept unsimplified too. To be safe, I’ll give the exact count first, then note if it simplifies. But since the problem says “what fraction”, and doesn’t specify, we’ll use the raw count unless it’s obvious. Wait — let me recheck: in e, 3 out of 6 are shaded → 3/6. But 3/6 = 1/2. In school, sometimes they want simplest form. Looking at the worksheet style, probably expects simplest form. Let’s assume simplest form unless denominator is prime or something. Actually, let’s look at f: hexagon divided into 6 triangles, all 6 shaded? No — wait, f: orange hexagon divided into 6 triangles — all 6 are shaded? Wait no — actually, looking again: f has 6 triangular sections, all colored orange → so 6/6 = 1. But that seems odd. Wait — maybe I miscounted. Let me double-check each carefully.)

Wait — let me redo with careful counting:

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a. Blue square: divided diagonally into 4 triangles. 3 are blue, 1 white → 3/4

b. Pink circle: 8 equal sectors. 5 pink, 3 white → 5/8

c. Yellow triangle: split vertically into 2 equal right triangles. 1 yellow, 1 white → 1/2

d. Green big triangle: made of 4 small congruent triangles. 3 green, 1 white → 3/4

e. Purple grid: 2 rows × 3 columns = 6 squares. 3 purple, 3 white → 3/6 = 1/2

f. Orange hexagon: divided into 6 equilateral triangles from center. All 6 are orange → 6/6 = 1

But 1 is a whole — is that correct? Yes, if all parts are shaded, fraction is 1.

g. Gray grid: 3x3 = 9 squares. 4 gray, 5 white → 4/9

h. Circle: divided into 8 sectors. 1 dark blue, rest white → 1/8

i. Pink triangle: divided horizontally into 3 equal strips? Wait — actually, it looks like it’s divided into 3 horizontal bands of equal height? But are they equal area? In a triangle, if you divide parallel to base, areas are not equal unless done specially. Wait — looking closely: it’s an upside-down triangle, divided by two lines parallel to base, making 3 regions. But in reality, for equal-area division, it’s tricky. However, in such worksheets, they usually mean equal parts visually. Here, it appears divided into 3 equal-height strips — but in a triangle, the top strip is smaller in area than bottom. Hmm — this is ambiguous.

Wait — actually, looking at standard worksheets, when a triangle is divided like this with horizontal lines, and labeled as "equal parts", they often intend them to be equal area. But geometrically, to divide a triangle into 3 equal-area horizontal strips, the lines must be placed at specific heights. However, in this image, it looks like the three sections are meant to be equal — perhaps it's divided into 3 congruent trapezoids/triangle? Actually, no — the top is a small triangle, middle and bottom are trapezoids. Unless specified, we have to assume the diagram shows equal parts. Given that it’s a fraction worksheet, and the shading is only the bottom part, likely they consider it divided into 3 equal parts. So 1 out of 3 shaded → 1/3

I think for educational purposes at this level, we take the visual division as equal parts unless stated otherwise. So i: 3 parts, 1 shaded → 1/3

j. Octagon-like shape: divided into 8 triangular sections from center. 4 brown, 4 white → 4/8 = 1/2

k. Star: made of 5 points and a pentagon? Actually, it’s a 5-pointed star, divided into 10 small triangles? Let’s see: typically, a star like this is divided into 10 congruent triangles (each point has 2 triangles). Shaded: the black parts — there are 2 black triangles (one on left point, one on right point? Wait — looking: the star has 5 points. The shaded parts are two of the "points" fully shaded? Actually, in the image, it appears that two of the five points are completely shaded black, and the rest white. But each point is made of two small triangles? Or is each point considered one part?

Actually, standard interpretation: this star is divided into 10 identical small triangles (since it’s symmetric). Counting: total small triangles = 10. Shaded: 2 (the two black ones) → 2/10 = 1/5

Alternatively, if each "point" is considered a unit, then 2 out of 5 points shaded → 2/5. But visually, the star is divided into 10 small triangles, and 2 are shaded. I think 2/10 is more accurate. But let’s confirm: in many such worksheets, they treat the star as having 10 equal parts. So 2/10 = 1/5

l. Diamond (square rotated): divided into 4 triangles by diagonals. 2 teal, 2 white → 2/4 = 1/2

Now let’s list all:

a. 3/4
b. 5/8
c. 1/2
d. 3/4
e. 3/6 = 1/2
f. 6/6 = 1
g. 4/9
h. 1/8
i. 1/3
j. 4/8 = 1/2
k. 2/10 = 1/5
l. 2/4 = 1/2

But for k, is it 2/10 or 2/5? Let me think again. The star: if you draw lines from center to each vertex and to each inner corner, you get 10 triangles. Yes, standard decomposition. And 2 are shaded. So 2/10. Simplified to 1/5.

Similarly, for e, j, l — we can simplify.

Since the problem doesn't specify, but in most cases, simplified fractions are preferred, I'll provide simplified versions where possible.

Final list with simplified fractions:

a. 3/4
b. 5/8
c. 1/2
d. 3/4
e. 1/2
f. 1
g. 4/9
h. 1/8
i. 1/3
j. 1/2
k. 1/5
l. 1/2

For f, 6/6=1, which is fine.

Now, to present the answer clearly.

Final Answer:
a. 3/4
b. 5/8
c. 1/2
d. 3/4
e. 1/2
f. 1
g. 4/9
h. 1/8
i. 1/3
j. 1/2
k. 1/5
l. 1/2