Fraction Worksheets - Printable Fractions Worksheets - Free Printable

Let’s go step by step to find the fraction of the dark shaded part for each shape.

We are told to write:
- The fraction (like 1/2, 3/4, etc.)
- And the word form (like “one-half”, “three-fourths”, etc.)

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Shape 2: Triangle divided into 3 equal parts

- Total parts = 3
- Dark shaded parts = 2 (purple)
- Light shaded = 1 (yellow) → we ignore this; we only care about dark shaded.
→ Fraction = 2/3
→ Word = two-thirds

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Shape 3: Square divided into 4 equal triangles

- Total parts = 4
- Dark shaded parts = 2 (purple)
- Light shaded = 2 (pinkish) → again, we only count dark shaded.
→ Fraction = 2/4 → but we can simplify! 2 ÷ 2 = 1, 4 ÷ 2 = 2 → 1/2
→ Word = one-half

Wait — let me double-check. Is it really 2 out of 4? Yes. But is 2/4 acceptable? The first example used 1/2 even though the hexagon was split in half — so they prefer simplified fractions. So yes, 1/2 and one-half.

But hold on — looking again at the image description (even though I’m not describing it), the third shape has two purple and two light pink — so yes, 2 dark out of 4 total → simplifies to 1/2.

Actually — wait a second. Let me be very careful.

In the instructions: “Identify the fraction of the dark shaded part.”

So if there are 4 equal parts, and 2 are dark shaded → 2/4 = 1/2.

Yes.

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Shape 4: Octagon divided into 8 equal triangles

- Total parts = 8
- Dark shaded = 7 (purple)
- Light shaded = 1 (light blue)
→ Fraction = 7/8
→ Word = seven-eighths

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Shape 5: Octagon divided into 8 equal triangles

- Total parts = 8
- Dark shaded = 3 (darker purple)
- Light shaded = 5 (light gray/blue)
→ Fraction = 3/8
→ Word = three-eighths

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Shape 6: Pentagon divided into 5 equal triangles

- Total parts = 5
- Dark shaded = 4 (dark purple)
- Light shaded = 1 (light blue)
→ Fraction = 4/5
→ Word = four-fifths

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Now let’s compile all answers:

Shape 1 (given):
Fraction: 1/2
Word: one-half

Shape 2:
Fraction: 2/3
Word: two-thirds

Shape 3:
Fraction: 1/2
Word: one-half

Shape 4:
Fraction: 7/8
Word: seven-eighths

Shape 5:
Fraction: 3/8
Word: three-eighths

Shape 6:
Fraction: 4/5
Word: four-fifths

Wait — let me recheck Shape 3.

Looking back: In the original problem, Shape 3 is a square divided diagonally into 4 triangles. Two are purple (dark), two are light pink. So yes, 2 dark out of 4 total → 2/4 = 1/2. Correct.

But — is the instruction saying “dark shaded” meaning ONLY the darkest color? In Shape 5, there are two shades of purple? Wait — no, in Shape 5, it says “dark shaded part” — and in that octagon, 3 are darker purple, 5 are light gray. So we take only the 3 darkest.

Similarly, in Shape 6, 4 are dark purple, 1 is light blue — so 4/5.

All good.

Final check:

Shape 2: triangle with 3 parts, 2 dark → 2/3 ✔️
Shape 3: square with 4 parts, 2 dark → 2/4 = 1/2 ✔️
Shape 4: octagon 8 parts, 7 dark → 7/8 ✔️
Shape 5: octagon 8 parts, 3 dark → 3/8 ✔️
Shape 6: pentagon 5 parts, 4 dark → 4/5 ✔️

Perfect.

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Final Answer:
Shape 2: Fraction = 2/3, Word = two-thirds
Shape 3: Fraction = 1/2, Word = one-half
Shape 4: Fraction = 7/8, Word = seven-eighths
Shape 5: Fraction = 3/8, Word = three-eighths
Shape 6: Fraction = 4/5, Word = four-fifths