Worksheet with fraction multiplication word problems for students.

Let’s solve each problem one by one. I’ll go step by step, check my math, and then give you the final answers at the end.

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Problem 1:
> On Friday night, John ate pizza for dinner and had 1/2 of the pizza left over. On Saturday, he ate 1/3 of what was left. How much pizza did John eat on Sunday?

Wait — this question is tricky. It says he ate 1/3 of what was left on Saturday, but it doesn’t say anything about him eating more on Sunday. The question asks: “How much pizza did John eat on Sunday?” But there’s no info that he ate any on Sunday!

Actually, rereading: He had 1/2 left after Friday. Then on Saturday, he ate 1/3 of that leftover (which is 1/3 of 1/2). So he ate some on Saturday, but nothing is said about Sunday. Maybe the question meant to ask how much he ate on Saturday? Or maybe how much is left for Sunday?

But let’s read carefully:
“On Saturday, he ate 1/3 of what was left.” → That means he ate 1/3 of the 1/2 that remained after Friday.

So amount eaten on Saturday = (1/3) × (1/2) = 1/6

Then, what’s left after Saturday?
Original leftover after Friday: 1/2
Minus what he ate Saturday: 1/6
→ 1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3

But the question is: “How much pizza did John eat on Sunday?”

There’s zero mention of him eating on Sunday. So unless we assume he ate all the rest on Sunday, which isn’t stated... Hmm.

Wait — maybe it’s a trick question? Or perhaps misworded? Let me check again.

Actually, looking at the wording: “he ate 1/3 of what was left” — that’s on Saturday. Then it immediately asks “how much did he eat on Sunday?” — with no further action described.

This might be an error in the problem. But if we assume that after Saturday, whatever was left, he ate on Sunday — then yes, he would have eaten 1/3 on Sunday.

Alternatively, maybe the problem meant to say: “On Saturday, he ate 1/3 of what was left, and on Sunday he ate the rest.” But it doesn’t say that.

However, given typical word problems like this, it’s likely they want us to find out how much he ate on Saturday — but the question specifically says “Sunday”.

Wait — let me look at the original text again:

> “On Friday night, John ate pizza for dinner and had 1/2 of the pizza left over. On Saturday, he ate 1/3 of what was left. How much pizza did John eat on Sunday?”

There’s no information about Sunday. So technically, based on what’s written, he ate 0 on Sunday.

But that seems too obvious — probably not the intent.

Another possibility: Maybe “ate 1/3 of what was left” refers to eating 1/3 of the original pizza? No, it says “of what was left”, meaning of the 1/2.

Perhaps the question has a typo and meant to ask “how much did he eat on Saturday?” or “how much is left for Sunday?”

Given common textbook patterns, I think the intended question is: After eating 1/3 of the leftover on Saturday, how much is left (which he might eat on Sunday)? But the question says “eat on Sunday”, implying he did eat something.

To resolve this, let’s assume that after Saturday, he ate the remainder on Sunday. That makes sense contextually.

So:

Left after Friday: 1/2
Ate on Saturday: 1/3 of 1/2 = 1/6
Left after Saturday: 1/2 - 1/6 = 1/3
If he ate that on Sunday → answer is 1/3

I think that’s the intended interpretation.

✔ Final calculation for Problem 1:
He ate 1/3 of the remaining half on Saturday → 1/6
Remaining: 1/2 - 1/6 = 1/3 → assumed eaten on Sunday → Answer: 1/3

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Problem 2:
> In Aditya’s grade, 2/3 of the students have a sister. Of the students who have a sister, 1/2 also have a brother. What fraction of the students in Aditya’s grade have both a sister and a brother?

We need to find the fraction of TOTAL students who have BOTH.

Step 1: Fraction with sister = 2/3
Step 2: Of those, 1/2 also have brother → so multiply: (2/3) × (1/2) = 2/6 = 1/3

✔ Answer: 1/3

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Problem 3:
> Justin operates an orange juice stand. On Monday he used 3/4 of a bag of oranges. On Tuesday he used 1/2 as many oranges as on Monday. How many bags of oranges did Justin use on Tuesday?

“1/2 as many as Monday” → Monday used 3/4 bag
Tuesday = (1/2) × (3/4) = 3/8

✔ Answer: 3/8

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Problem 4:
> Zain’s lemon cookie recipe calls for 1/4 of a cup of sugar. How much sugar would Zain need to make 1/3 of a batch of cookies?

Full batch needs 1/4 cup
For 1/3 batch → (1/3) × (1/4) = 1/12

✔ Answer: 1/12

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Problem 5:
> The elephants at the Norfolk Zoo ate 1/2 a barrel of corn each day. The buffalo ate 7/10 as much corn as the elephants. How many barrels of corn do the buffalo feed each day?

Elephants: 1/2 barrel/day
Buffalo: 7/10 of that → (7/10) × (1/2) = 7/20

✔ Answer: 7/20

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Problem 6:
> At India’s Arcade, 2/3 of the games are racing games. Among the racing games, 1/2 are motorcycle racing games. What fraction of the games at India’s Arcade are motorcycle racing games?

Fraction that are racing games: 2/3
Of those, 1/2 are motorcycle → (2/3) × (1/2) = 2/6 = 1/3

✔ Answer: 1/3

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Now, compiling all final answers:

Final Answer:
1. 1/3
2. 1/3
3. 3/8
4. 1/12
5. 7/20
6. 1/3