Comparing Fractions worksheet with real-world scenarios using pizza, pies, cakes, and brownies to teach fraction comparison.

Let’s solve each problem step by step. We’re comparing fractions — that means we want to see which person or group ate more of the same-sized food, even if it was cut into different numbers of pieces.

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Problem 1:

Jenny’s pizza: 8 equal slices → she ate 3 → so she ate 3/8
Danny’s pizza: 4 equal slices → he ate 3 → so he ate 3/4

We need to compare 3/8 and 3/4.

Think about it: If you have a pizza cut into 8 slices, each slice is smaller than if it’s cut into only 4 slices. So 3 big slices (from Danny’s 4-slice pizza) are more than 3 small slices (from Jenny’s 8-slice pizza).

To be sure, let’s make the denominators the same:

3/4 = ? /8 → multiply top and bottom by 2 → 6/8

Now compare:
Jenny: 3/8
Danny: 6/8

6/8 > 3/8 → Danny ate more.

✔ Answer for #1: Danny

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Problem 2:

Cherry pie: cut into 6 slices → people ate 3 → 3/6
Pumpkin pie: cut into 12 slices → people ate 6 → 6/12

Compare 3/6 and 6/12.

Simplify both:

3/6 = 1/2
6/12 = 1/2

They are equal!

So people ate the same amount of cherry pie and pumpkin pie.

But the question asks: “Did people eat more cherry pie or pumpkin pie?”

Since they’re equal, neither is more.

Wait — maybe the question expects us to say “they ate the same” but since it says “more... or...”, perhaps we should check again.

Actually, 3/6 = 0.5 and 6/12 = 0.5 → same amount.

So answer: They ate the same amount. But since the question forces a choice (“more cherry or pumpkin”), and they’re equal, technically neither is more. However, in school problems like this, sometimes they expect you to say “same” — but here the blank says “answer: _______”

Looking back at the problem: “Did people eat more cherry pie or pumpkin pie?”

If they ate the same, then the correct answer is: neither — they ate the same amount

But let’s see what the worksheet might expect. Maybe we should write “same” or “equal”.

Wait — actually, let me double-check the math.

Cherry: 3 out of 6 → half
Pumpkin: 6 out of 12 → also half

Yes, same.

But the question says “Did people eat more cherry pie or pumpkin pie?” — implying one is more. Since they’re equal, perhaps the answer is “they ate the same”.

However, looking at how other problems are structured, maybe we should just state the fact.

I think for accuracy, we’ll say: They ate the same amount.

But let’s hold on — maybe I misread.

No, it’s clear: 3/6 = 6/12 = 1/2.

✔ Answer for #2: They ate the same amount.

But wait — the worksheet has “answer: ________” — probably expecting a short phrase.

Perhaps: “same” or “equal”

But to be precise, let’s go with: the same

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Problem 3:

Chocolate cake: 12 parts → ate 5 → 5/12
Marble cake: 6 parts → ate 3 → 3/6

Compare 5/12 and 3/6.

First, simplify 3/6 = 1/2

Now, convert 1/2 to twelfths: 1/2 = 6/12

So:

Chocolate: 5/12
Marble: 6/12

6/12 > 5/12 → marble cake was eaten more.

✔ Answer for #3: marble cake

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Problem 4:

Brownies with nuts: 8 pieces → ate 2 → 2/8
Brownies without nuts: 16 pieces → ate 3 → 3/16

Compare 2/8 and 3/16.

First, simplify 2/8 = 1/4

Now, convert 1/4 to sixteenths: 1/4 = 4/16

So:

With nuts: 4/16
Without nuts: 3/16

4/16 > 3/16 → they ate more brownies with nuts.

✔ Answer for #4: brownies with nuts

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Now, let’s summarize all answers clearly:

1. Danny
2. They ate the same amount
3. Marble cake
4. Brownies with nuts

But for problem 2, since the question says “Did people eat more cherry pie or pumpkin pie?”, and they ate the same, perhaps the expected answer is “same” or “neither”. In many worksheets, they accept “same” for such cases.

Alternatively, maybe I made a mistake? Let me recheck problem 2.

Cherry: 3 slices out of 6 → 3/6 = 1/2
Pumpkin: 6 slices out of 12 → 6/12 = 1/2 → yes, same.

So I think it’s fine.

Final Answers:

1. Danny
2. same
3. marble cake
4. brownies with nuts

But to match the format, let’s write them as requested.

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Final Answer:
1. Danny
2. same
3. marble cake
4. brownies with nuts