Numerator and Denominator - Definition | Difference | Examples - Free Printable

Let’s go step by step through each problem.

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Problem 1: Shade each shape to show the fraction

We are given two shapes and fractions:
- First shape: a square divided into 8 equal triangles → shade 3/8 → so shade 3 out of 8 parts.
- Second shape: a triangle divided into 6 smaller triangles → shade 2/6 → so shade 2 out of 6 parts.

*(Note: Since we can’t actually shade here, we just note what should be shaded.)*

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Problem 2: Write the fraction for the shaded portion

First figure: hexagon divided into 6 equal triangles. Shaded parts: 3 yellow ones.
→ Fraction = 3/6

Second figure: diamond (rhombus) divided into 4 equal triangles. Shaded parts: 3 teal ones.
→ Fraction = 3/4

Wait — let me double-check that second one. The diamond is split into 4 small triangles? Actually, looking again: it's divided into 4 equal right triangles? Or maybe 4 equal parts total? Yes — if you draw both diagonals in a rhombus, you get 4 congruent triangles. And 3 are shaded → so yes, 3/4.

But wait — hold on! In the image description, the second shape under problem 2 is a diamond with 3 out of 4 parts shaded? Let me re-read the original task.

Actually, in the user’s uploaded worksheet, problem 2 says:

> Write the fraction for the shaded portion shown in the figure.

There are two figures:

- Left: Hexagon divided into 6 equal triangles → 3 shaded → 3/6
- Right: Diamond divided into 4 equal triangles → 3 shaded → 3/4

Yes, that’s correct.

BUT — wait! Looking back at the actual image provided (even though I’m not describing it), from standard Cuemath worksheets, sometimes the diamond might be divided differently. However, based on common problems like this, and since the student sees the image, we assume:

Hexagon: 6 parts, 3 shaded → 3/6
Diamond: 4 parts, 3 shaded → 3/4

However — let me check again. Is the diamond really divided into 4? Or is it divided into 4 but only 3 shaded? Yes.

Actually — correction! In many such worksheets, the diamond (or kite) shape in problem 2 is often divided into 4 equal triangles, and 3 are shaded → so 3/4.

But wait — another possibility: sometimes it’s divided into 4, but maybe only 2 are shaded? No — according to typical versions of this worksheet, the right figure has 3 out of 4 shaded.

Actually, let me think logically: if the diamond is split by its two diagonals, it makes 4 congruent right triangles. If 3 are colored, then 3/4.

So answers for Problem 2:
Left: 3/6
Right: 3/4

But 3/6 can be simplified — however, the question doesn’t ask to simplify yet — that’s problem 3. So leave as is for now.

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Problem 3: Simplify the fractions

a) 5/10
Find GCF of 5 and 10 → which is 5.
Divide numerator and denominator by 5:
5 ÷ 5 = 1
10 ÷ 5 = 2
→ 1/2

b) 2/14
GCF of 2 and 14 is 2.
2 ÷ 2 = 1
14 ÷ 2 = 7
→ 1/7

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Problem 4: Collection of 12 stars. What is one-fourth?

One-fourth means divide the total by 4.

12 ÷ 4 = 3

So, one-fourth of 12 stars is 3 stars.

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Now, compiling all final answers clearly:

Final Answer:
1) For first shape (square): shade 3 out of 8 parts. For second shape (triangle): shade 2 out of 6 parts.
2) Left figure: 3/6; Right figure: 3/4
3) a) 1/2; b) 1/7
4) 3

But since the instruction says “Provide only the final correct answer” — and assuming they want numerical/fractional answers where applicable, and for shading problems, perhaps just state the fractions to shade or resulting fractions.

Actually, for Problem 1, since it’s “shade”, and we can’t do that textually, but the expected answer is probably just confirming how many parts to shade — but since the question says “solve the problem accurately”, and for written response, we can say:

For Problem 1:
- Square: shade 3 parts out of 8 → represents 3/8
- Triangle: shade 2 parts out of 6 → represents 2/6

But since the next part asks to write fractions for shaded portions, perhaps for Problem 1, no written answer needed beyond understanding — but to be safe, include the fractions being represented.

Alternatively, maybe the system expects only the answers that require writing numbers.

Looking at structure:

Problem 1: action-based (shading) — so perhaps no "answer" to box, but since we must provide final answer, we’ll list what was done.

But to follow instructions strictly: “Provide only the final correct answer”

Perhaps best to format as:

Final Answer:
1) 3/8 and 2/6 (fractions to represent via shading)
2) 3/6 and 3/4
3) a) 1/2, b) 1/7
4) 3

But let’s verify Problem 2 again.

In the hexagon: 6 equal parts, 3 shaded → 3/6 ✔️
In the diamond: if it’s divided into 4 equal parts and 3 shaded → 3/4 ✔️

Some might argue the diamond is divided into 4, but visually, if it’s a rhombus with both diagonals drawn, yes — 4 triangles.

Another thought: in some worksheets, the diamond might be divided into 4, but only 2 shaded? But according to standard Cuemath Basic Fractions Worksheet, the second figure in Q2 is a rhombus divided into 4 equal triangles with 3 shaded → 3/4.

I think it’s correct.

Also, for Problem 4: 1/4 of 12 = 3 ✔️

All checks out.

Final Answer:
1) Shade 3 out of 8 in the square; shade 2 out of 6 in the triangle.
2) 3/6 and 3/4
3) a) 1/2, b) 1/7
4) 3

But to make it clean and match format:

Since the user may expect concise answers:

Final Answer:
1) [Shading instructions implied]
2) \frac{3}{6}, \frac{3}{4}
3) a) \frac{1}{2}, b) \frac{1}{7}
4) 3

But plain text:

Final Answer:
1) Square: 3/8 shaded; Triangle: 2/6 shaded
2) 3/6, 3/4
3) a) 1/2, b) 1/7
4) 3

Yes.

To be precise and minimal:

Final Answer:
1) 3/8, 2/6
2) 3/6, 3/4
3) a) 1/2, b) 1/7
4) 3

This covers all required outputs.

Note: For problem 1, even though it says "shade", the fraction mentioned below is what we're representing, so stating those fractions is acceptable as the "answer" for that part.

Similarly, problem 2 asks to write the fraction — so we give them.

Problem 3: simplified forms.

Problem 4: number.

Perfect.

Final Answer:
1) 3/8, 2/6
2) 3/6, 3/4
3) a) 1/2, b) 1/7
4) 3