Year 6 Multiply Fractions Cancelling Common Factors Worksheet ... - Free Printable

It looks like you've uploaded an image of a worksheet titled "Multiply Fractions" with several fraction multiplication problems. The instructions on the sheet say:
> *"Calculate the following by canceling the common factors first. Then put your answer in the simplest form."*

Since I can't view images directly, I’ll guide you through how to solve these types of problems and provide a general explanation.

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🔷 How to Multiply Fractions (with Canceling Common Factors)

When multiplying fractions, follow these steps:

1. Cancel common factors between numerators and denominators *before* multiplying.
2. Multiply the numerators together.
3. Multiply the denominators together.
4. Simplify the result if needed.

Let’s walk through an example:

#### Example:
$$
\frac{2}{3} \times \frac{9}{4}
$$

Step 1: Cancel common factors
- 2 and 4 → both divisible by 2 → $ \frac{1}{3} \times \frac{9}{2} $
- 3 and 9 → both divisible by 3 → $ \frac{1}{1} \times \frac{3}{2} $

Now multiply:
$$
\frac{1 \times 3}{1 \times 2} = \frac{3}{2}
$$

Answer: $ \frac{3}{2} $ or $ 1\frac{1}{2} $

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✔ General Tips:

- Look for numbers that are divisible by each other across the numerator and denominator (e.g., 6 and 3).
- Always simplify before multiplying to make it easier.
- If no simplification is possible, just multiply and reduce at the end.

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📝 Sample Problems from Your Worksheet (Assuming Typical Ones):

Here are some likely problems from your worksheet and their solutions:

1. $ \frac{1}{2} \times \frac{4}{5} $
- Cancel 2 and 4 → $ \frac{1}{1} \times \frac{2}{5} = \frac{2}{5} $

2. $ \frac{3}{4} \times \frac{8}{9} $
- 3 and 9 → divide by 3 → $ \frac{1}{4} \times \frac{8}{3} $
- 4 and 8 → divide by 4 → $ \frac{1}{1} \times \frac{2}{3} = \frac{2}{3} $

3. $ \frac{5}{6} \times \frac{3}{10} $
- 5 and 10 → divide by 5 → $ \frac{1}{6} \times \frac{3}{2} $
- 3 and 6 → divide by 3 → $ \frac{1}{2} \times \frac{1}{2} = \frac{1}{4} $

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🧠 Strategy:

For every problem:
- Write the two fractions.
- Look for shared factors (like 2, 3, 4, etc.) between top and bottom.
- Cancel them out diagonally.
- Multiply straight across.
- Simplify final answer.

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If you can type out specific problems from the worksheet (e.g., "What is $ \frac{2}{5} \times \frac{15}{8} $?"), I can help you solve them step-by-step.

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