Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

Let’s go through each problem step by step. We’re multiplying fractions and using cross canceling to simplify before we multiply. Cross canceling means we divide a numerator and a denominator (from different fractions) by the same number to make the numbers smaller and easier to work with.

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Problem 1:
$\frac{3}{5} \times \frac{1}{3}$
→ The 3 in the top left and the 3 in the bottom right can both be divided by 3 → becomes 1 and 1.
So: $\frac{1}{5} \times \frac{1}{1} = \frac{1}{5}$ ✔

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Problem 2:
$\frac{2}{5} \times \frac{5}{10}$
→ The 2 and 10 can both be divided by 2 → 2 becomes 1, 10 becomes 5.
→ The 5 on top and 5 on bottom can both be divided by 5 → become 1 and 1.
So: $\frac{1}{1} \times \frac{1}{5} = \frac{1}{5}$ ✔

Wait — let me double-check that. Actually, after cross-canceling:

Original: $\frac{2}{5} \times \frac{5}{10}$

Cancel 2 and 10 → 2÷2=1, 10÷2=5 → now it’s $\frac{1}{5} \times \frac{5}{5}$? No — wait, better to do:

Actually, cancel 5 (top right) with 5 (bottom left) → both become 1.
Then cancel 2 (top left) with 10 (bottom right) → 2÷2=1, 10÷2=5.
So now: $\frac{1}{1} \times \frac{1}{5} = \frac{1}{5}$ ✔ Correct.

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Problem 3:
$\frac{2}{5} \times \frac{9}{10}$
→ Cancel 2 and 10 → 2÷2=1, 10÷2=5
Now: $\frac{1}{5} \times \frac{9}{5} = \frac{9}{25}$ ✔

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Problem 4:
$\frac{2}{4} \times \frac{2}{3}$
First, simplify $\frac{2}{4}$ to $\frac{1}{2}$ — but since we’re cross-canceling:

Cancel 2 (top left) with 4 (bottom left)? Wait — no, cross-cancel between fractions.

Actually, cancel 2 (top left) with 4 (bottom left) — but they’re in the same fraction. Better to think:

We can cancel 2 (top left) with 4 (bottom left) → 2÷2=1, 4÷2=2 → so first fraction becomes $\frac{1}{2}$

Then cancel 2 (top right) with 2 (new bottom left)? Hmm — maybe better to do:

Original: $\frac{2}{4} \times \frac{2}{3}$

Cancel 2 (top left) and 4 (bottom left) → 1/2 × 2/3

Then cancel 2 (top right) and 2 (bottom left) → 1/1 × 1/3 = 1/3 ✔

Alternatively, as shown in image: cross-cancel 2 (top left) with 4 (bottom left) → 1 and 2; then 2 (top right) with 2 (new bottom left) → 1 and 1 → result 1/3.

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Problem 5:
$\frac{4}{5} \times \frac{7}{10}$
→ Cancel 4 and 10 → both divisible by 2 → 4÷2=2, 10÷2=5
Now: $\frac{2}{5} \times \frac{7}{5} = \frac{14}{25}$ ✔

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Problem 6:
$\frac{2}{3} \times \frac{4}{5}$
No common factors to cross-cancel → just multiply straight across:
$2×4 = 8$, $3×5 = 15$ → $\frac{8}{15}$ ✔

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Problem 7:
$\frac{1}{5} \times \frac{1}{3}$
Nothing to cancel → $1×1=1$, $5×3=15$ → $\frac{1}{15}$ ✔

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Problem 8:
$\frac{1}{2} \times \frac{4}{10}$
→ Cancel 2 (bottom left) and 4 (top right) → 2÷2=1, 4÷2=2
→ Now: $\frac{1}{1} \times \frac{2}{10}$
→ Then cancel 2 and 10 → 2÷2=1, 10÷2=5 → $\frac{1}{1} \times \frac{1}{5} = \frac{1}{5}$ ✔

Or directly: cancel 2 and 10 → 1 and 5; cancel 4 and 2? Wait — better:

Original: $\frac{1}{2} \times \frac{4}{10}$

Cancel 2 (denom left) and 4 (num right) → 2÷2=1, 4÷2=2 → now $\frac{1}{1} \times \frac{2}{10}$

Then cancel 2 and 10 → 1 and 5 → $\frac{1}{1} \times \frac{1}{5} = \frac{1}{5}$ ✔

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Problem 9:
$\frac{1}{2} \times \frac{2}{5}$
→ Cancel 2 (bottom left) and 2 (top right) → both become 1
Now: $\frac{1}{1} \times \frac{1}{5} = \frac{1}{5}$ ✔

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Problem 10:
$\frac{1}{5} \times \frac{1}{3}$
Same as #7 → nothing to cancel → $\frac{1}{15}$ ✔

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All answers match what’s written in the image. Let me list them clearly for you.

Final Answer:
1) $\frac{1}{5}$
2) $\frac{1}{5}$
3) $\frac{9}{25}$
4) $\frac{1}{3}$
5) $\frac{14}{25}$
6) $\frac{8}{15}$
7) $\frac{1}{15}$
8) $\frac{1}{5}$
9) $\frac{1}{5}$
10) $\frac{1}{15}$