You multiply fractions with different denominators by multiplying the numerators together and then multiplying the denominators together. Simplify the resulting fraction if possible.
Here's a step-by-step breakdown:
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Multiply the Numerators: Multiply the top numbers (numerators) of the two fractions. This result becomes the new numerator of the product.
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Multiply the Denominators: Multiply the bottom numbers (denominators) of the two fractions. This result becomes the new denominator of the product.
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Simplify the Resulting Fraction: If possible, simplify the resulting fraction to its lowest terms. This means finding the greatest common factor (GCF) of the numerator and denominator and dividing both by the GCF.
Example:
Let's multiply 1/2 and 2/3.
- Multiply the Numerators: 1 * 2 = 2
- Multiply the Denominators: 2 * 3 = 6
This gives us 2/6.
- Simplify: Both 2 and 6 are divisible by 2. Dividing both by 2, we get 1/3.
Therefore, 1/2 * 2/3 = 1/3.
In summary, to multiply fractions, just multiply across (numerator times numerator, denominator times denominator), then simplify!
