Interactive math worksheet for multiplying whole numbers by fractions.

Let’s solve each multiplication problem step by step.

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Problem 1: 3 × 3/4

Multiply the whole number by the numerator, keep the denominator:

3 × 3 = 9 → so we get 9/4

We can leave it as an improper fraction or convert to mixed number:
9 ÷ 4 = 2 with remainder 1 → 2 1/4

But since the instructions say “multiply to solve,” and don’t specify format, we’ll give both forms if needed — but for now, let’s keep as improper unless asked otherwise. Actually, looking at other problems, some may simplify nicely. Let’s check all first.

Wait — actually, in school math, sometimes they want simplified fractions or mixed numbers. But since no instruction says which, I’ll compute exact value and simplify where possible.

Actually, let’s do them one by one carefully.

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Problem 1: 3 × 3/4

= (3 × 3) / 4 = 9/4

Can be written as 2 1/4, but again — let’s see what the others look like.

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Problem 2: 5 × 1/2

= (5 × 1) / 2 = 5/2

Which is 2 1/2

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Problem 3: 8 × 5/8

Here, notice: 8 in numerator and 8 in denominator — they cancel!

So: 8 × 5/8 = (8/1) × (5/8) = (8×5)/(1×8) = 40/8 = 5

Nice! Simplifies to whole number.

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Problem 4: 4 × 9/10

= (4 × 9) / 10 = 36/10

Simplify: divide numerator and denominator by 2 → 18/5

Or as mixed number: 18 ÷ 5 = 3 with remainder 3 → 3 3/5

Again, depends on expected form. Since problem 3 gave a whole number, maybe they accept simplified fractions or mixed numbers.

But let’s hold off final formatting until we do all.

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Problem 5: 6 × 10/12

First, simplify before multiplying if possible.

10/12 can be reduced: divide numerator and denominator by 2 → 5/6

So: 6 × 5/6 = (6/1) × (5/6) = (6×5)/(1×6) = 30/6 = 5

Even better — cancels completely!

Alternatively, without simplifying first:

6 × 10/12 = 60/12 = 5 → same answer.

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Problem 6: 3 × 15/8

= (3 × 15) / 8 = 45/8

As mixed number: 45 ÷ 8 = 5 with remainder 5 → 5 5/8

No simplification possible since 45 and 8 share no common factors.

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Now, let’s list all answers clearly. The worksheet doesn’t specify whether to write as improper fraction or mixed number. In many elementary/middle school contexts, they prefer mixed numbers when the result is greater than 1 and not a whole number.

Looking at Problem 3 and 5: they are whole numbers → fine.

Problem 1: 9/4 → 2 1/4
Problem 2: 5/2 → 2 1/2
Problem 4: 36/10 → 18/5 → 3 3/5
Problem 6: 45/8 → 5 5/8

I think for consistency and clarity, we should present all answers in simplest form — either whole number or mixed number.

Let me double-check calculations:

✔ 3 × 3/4 = 9/4 = 2 1/4
✔ 5 × 1/2 = 5/2 = 2 1/2
✔ 8 × 5/8 = 40/8 = 5
✔ 4 × 9/10 = 36/10 = 18/5 = 3 3/5
✔ 6 × 10/12 = 60/12 = 5
✔ 3 × 15/8 = 45/8 = 5 5/8

All correct.

Final Answer:

Let’s Multiply
3 × 3/4 = 2 1/4
5 × 1/2 = 2 1/2
8 × 5/8 = 5
4 × 9/10 = 3 3/5
6 × 10/12 = 5
3 × 15/8 = 5 5/8

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Final Answer:
3 × 3/4 = 2 1/4
5 × 1/2 = 2 1/2
8 × 5/8 = 5
4 × 9/10 = 3 3/5
6 × 10/12 = 5
3 × 15/8 = 5 5/8