Fractions worksheet teaching halves and quarters with visual examples.

Let’s go step by step to solve this worksheet.

The title is “Fractions: Halves and Quarters”. That means we’re working with 1/2 (half) and 1/4 (quarter).

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First section: “Color the shapes which are divided equally”

We look at each shape and check if it’s split into equal parts.

- Circle with one line through center → YES, two equal halves.
- Triangle with line from top to bottom middle → YES, two equal halves.
- Right triangle with diagonal line → NO, not equal parts (one side bigger).
- Arrow shape with vertical line → YES, left and right sides are mirror images → equal.

So color: circle, triangle, arrow. Leave the right triangle uncolored.

*(But since you didn’t ask for coloring instructions, and the rest of the sheet has fractions to write, let’s focus on those.)*

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Second section: “Color ___” with fraction symbols

Actually, looking again — the second row says:

> Color
> [symbol: 1/2]
> Then shapes: circle (halved), square (two rectangles), triangle (two small triangles), circle (halved)

Wait — actually, re-examining the layout:

It seems like each row starts with a fraction symbol, then shows shapes that are divided, and you’re supposed to write what fraction of the whole is colored? Or maybe identify how many parts are shaded?

Wait — no. Looking more carefully:

In the third row:

> Color
> [symbol: 1/4]
> Shapes: square divided into 4, circle divided into 4, diamond divided into 4

Then next rows:

> Color 2
> [symbol: 1/2]
> Two triangles, each split in half. One has “1” written under it, blank under the other.

Ah! I think I get it now.

This worksheet is asking:

For each group:
- The fraction symbol tells you what part each piece is (e.g., 1/2 means each piece is half).
- You count how many pieces are shown or colored.
- Then you write the total fraction represented.

Let’s break it down row by row.

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Row 1: “Color the shapes which are divided equally”

As above — just identify which shapes are split into equal parts. But since there’s no writing here, and the user wants answers for the blanks, let’s skip to where there are blanks.

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Row 2: “Color” with 1/2 symbol

Shapes:
- Circle split into 2 → each is 1/2
- Square split into 2 rectangles → each is 1/2
- Triangle split into 2 → each is 1/2
- Circle split into 2 → each is 1/2

No blanks here — probably just coloring instruction. Skip.

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Row 3: “Color” with 1/4 symbol

Shapes:
- Square divided into 4 → each is 1/4
- Circle divided into 4 → each is 1/4
- Diamond divided into 4 → each is 1/4

Again, no blanks — likely coloring.

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Row 4: “Color 2” with 1/2 symbol

Two triangles, each split into 2 equal parts (so each small triangle is 1/2 of the big triangle).

Under first triangle: “1” — meaning 1 piece is colored? Or 1 half?

Wait — it says “Color 2” — so probably you are to imagine coloring 2 pieces.

Each triangle is split into 2 halves → so each half = 1/2.

If you color 2 halves... but there are only 2 halves per triangle.

Wait — there are TWO triangles shown.

Each triangle is divided into 2 equal parts → so each part is 1/2 of that triangle.

“Color 2” — probably means color 2 of these small parts.

Since each small part is 1/2 of its triangle, and you have two separate triangles...

If you color one part from each triangle, that’s 2 parts, each being 1/2 → but they are from different wholes.

That doesn’t make sense for adding fractions unless they are same whole.

Wait — perhaps the “1” under the first triangle means: in the first triangle, 1 half is colored → so that’s 1/2.

Then the second triangle has a blank — and you need to fill in what fraction is colored if you color 2 parts? But each triangle only has 2 parts.

I think I misread.

Look again:

It says:

> Color 2
> [1/2 symbol]
> [Triangle split in half] ≡ [Triangle split in half]
> 1 _______

And below that:

> Color 2
> [1/4 symbol]
> [Diamond split in 4] ≡ [Diamond split in 4]
> 2 _______

Ah! Now I see.

The “” probably means “equals” or “is equivalent to”.

So for the first one:

You have two identical triangles, each split into 2 equal parts (halves).

Under the first triangle, it says “1” — meaning 1 half is colored in the first triangle → so that represents 1/2.

Then the second triangle has a blank — and you’re to figure out: if you color 2 halves (as instructed by “Color 2”), how much is that in total?

But wait — “Color 2” might mean: in total, color 2 pieces across both figures.

Each piece is 1/2 of a triangle.

So if you color 2 pieces, and each piece is 1/2, then total colored = 2 × (1/2) = 1 whole.

But the blanks are under each triangle separately? No — the blank is under the second triangle, and the “1” is under the first.

Perhaps it’s showing equivalence.

Another interpretation:

The first triangle has 1 half colored → so value = 1/2.

The second triangle — if you were to color enough to make the total equal to something? But it says “Color 2” at the top.

Let me read the instruction again.

Actually, looking at the very bottom row:

> Color 2
> [1/4 symbol]
> [Diamond split in 4] ≡ [Diamond split in 4]
> 2 _______

Here, under first diamond: “2” — meaning 2 quarters are colored → so 2/4.

Then blank under second diamond.

And “Color 2” — probably means color 2 pieces in total? But 2 are already colored in the first.

I think the key is: the number under the first shape tells you how many pieces are colored in that shape, and you need to find how many pieces to color in the second shape so that the total fraction equals the same as if you colored “2” pieces of that size.

Wait — let’s try this:

In the fourth row:

Fraction is 1/2.

“Color 2” — so we want to represent 2 halves.

2 halves = 2 × (1/2) = 1 whole.

Now, the first triangle has “1” under it — meaning 1 half is colored → that’s 1/2.

To make total 2 halves (i.e., 1 whole), we need another 1 half.

So in the second triangle, we should color 1 half → so write “1” in the blank.

Similarly, fifth row:

Fraction is 1/4.

“Color 2” — so we want 2 quarters.

First diamond has “2” under it — meaning 2 quarters are colored → that’s 2/4.

To have total 2 quarters, we don’t need to color any more — so in the second diamond, color 0 quarters? But that seems odd.

Wait — perhaps “Color 2” means: in the entire set, color 2 pieces.

In the first figure, they’ve already colored some, and you need to complete it by coloring in the second figure.

In row 4: “Color 2” with 1/2 pieces.

First triangle: 1 half colored → so 1 piece done.

Need to color 1 more piece (since total 2) → so in second triangle, color 1 half → write “1”.

In row 5: “Color 2” with 1/4 pieces.

First diamond: 2 quarters colored → that’s already 2 pieces.

So no need to color any in the second diamond → write “0”?

But that might not be intended.

Alternative interpretation:

The “≡” means the two sides are equal.

So for row 4:

Left side: triangle with 1 half colored → value = 1/2

Right side: triangle with ? halves colored → should also equal 1/2? But then why “Color 2”?

I’m confused.

Let me look for patterns.

Notice that in row 4, it says “Color 2” and the fraction is 1/2.

2 times 1/2 is 1.

The first triangle has “1” — which could mean 1 unit of 1/2, i.e., 1/2.

Then the second triangle should have enough to make total 1, so another 1/2 → so “1”.

Similarly, row 5: “Color 2” with 1/4 → 2 * 1/4 = 1/2.

First diamond has “2” — 2 * 1/4 = 2/4 = 1/2.

So already equal to 1/2.

Then the second diamond should have 0? Or perhaps it's showing that 2/4 is equivalent to something else, but there's only one blank.

Another idea: perhaps the blank is for the total fraction represented by coloring 2 pieces.

But in row 4, if you color 2 halves, that's 1 whole, so blank should be "1".

In row 5, color 2 quarters, that's 2/4 = 1/2, so blank should be "1/2" or "2/4".

But the blank is under the second shape, and in row 4, under first shape is "1", which is likely the number of pieces, not the fraction.

Let's assume that the number under the shape is the number of pieces colored in that shape.

For row 4:

- Fraction piece size: 1/2
- Instruction: Color 2 pieces in total.
- First shape: 1 piece colored (as indicated by "1")
- So second shape: need to color 1 more piece → write "1" in blank.

For row 5:

- Fraction piece size: 1/4
- Instruction: Color 2 pieces in total.
- First shape: 2 pieces colored (as indicated by "2")
- So second shape: need to color 0 pieces → write "0" in blank.

That makes sense.

But is "0" acceptable? Probably yes.

Perhaps they want the fraction, but the first ones are numbers like "1" and "2", which are counts, not fractions.

In row 4, under first triangle is "1", which is count of halves.

Similarly, in row 5, "2" is count of quarters.

So blanks should be counts.

Therefore:

For the fourth row (1/2 pieces): blank = 1

For the fifth row (1/4 pieces): blank = 0

But let's double-check with the context.

The worksheet is for halves and quarters, and likely for young students, so simple counting.

Also, in the first few rows, they are identifying equal divisions, then moving to counting parts.

So final decision:

- In the row with 1/2 symbol and "Color 2": first triangle has 1 half colored, so to have 2 halves total, second triangle needs 1 half colored → answer: 1

- In the row with 1/4 symbol and "Color 2": first diamond has 2 quarters colored, so to have 2 quarters total, second diamond needs 0 quarters colored → answer: 0

But is there a possibility that "Color 2" means something else?

Another thought: in some worksheets, "Color 2" might mean color 2 out of the available, but here it's specified with the fraction.

Perhaps for the second shape, you need to show an equivalent amount.

For example, in row 4: 1 half in first triangle is equivalent to 2 quarters, but that's not matching.

I think my initial reasoning is correct.

Let me see if there's a standard way.

Upon second thought, in the fourth row, it says "Color 2" and shows two triangles, each can hold 2 halves, but "Color 2" likely means color 2 pieces of size 1/2.

Since each piece is 1/2, coloring 2 pieces gives 1 whole.

The first triangle has 1 piece colored (value 1/2), so the second triangle should have 1 piece colored to make another 1/2, totaling 1.

Similarly, for 1/4, coloring 2 pieces gives 2/4 = 1/2.

First diamond has 2 pieces colored (2/4), so second diamond should have 0 to keep total 2/4.

Yes.

So answers are:

For the 1/2 row: blank = 1

For the 1/4 row: blank = 0

Now, to confirm, let's write the final answer.

Final Answer:
1
0