To multiply mixed fractions, follow these steps:
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Convert Mixed Numbers to Improper Fractions: The first step is to change each mixed number into an improper fraction. This is crucial because multiplication is straightforward with fractions in the improper form.
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Multiply the Numerators: After converting to improper fractions, multiply the numerators (the top numbers) of the fractions together.
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Multiply the Denominators: Next, multiply the denominators (the bottom numbers) of the fractions together.
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Simplify: Finally, simplify the resulting fraction. This might involve reducing the fraction to its lowest terms or converting an improper fraction back to a mixed number, depending on what the question asks for.
| Step | Description | Example: 1 1/2 * 2 1/3 |
|---|---|---|
| 1. Convert to Improper Fractions | Convert each mixed number into an improper fraction. | 1 1/2 = 3/2 and 2 1/3 = 7/3 |
| 2. Multiply Numerators | Multiply the numerators of the improper fractions. | 3 * 7 = 21 |
| 3. Multiply Denominators | Multiply the denominators of the improper fractions. | 2 * 3 = 6 |
| 4. Simplify | Simplify the resulting fraction (reduce or convert to mixed number). | 21/6 = 7/2 = 3 1/2 |
Therefore, 1 1/2 * 2 1/3 = 3 1/2.
