Multiplying Fractions

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What is the first step in multiplying fractions?
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Multiply the numerators of the fractions.
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What is the second step in multiplying fractions?
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Multiply the denominators of the fractions.
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Do you need a common denominator to multiply fractions?
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No, a common denominator is not required.
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How do you simplify a fraction after multiplying?
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Divide both numerator and denominator by their greatest common factor.
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What is an example of multiplying fractions?
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Multiply \(\frac{2}{3} \times \frac{3}{4} = \frac{6}{12}\), simplified to \(\frac{1}{2}\).
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What happens to whole numbers when multiplying with fractions?
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Multiply the whole number by the fraction's numerator.
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What is the result of multiplying any fraction by 1?
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The fraction remains unchanged.
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How does multiplying fractions relate to area models?
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The product represents the intersection area of fraction parts.
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Can negative fractions be multiplied the same way as positive fractions?
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Yes, but the product follows sign rules: negative x positive = negative.
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What is the product of \(\frac{1}{2} \times \frac{2}{5}\)?
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\(\frac{1}{5}\).
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How do you multiply fractions with mixed numbers?
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Convert the mixed numbers to improper fractions first.
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What do you do after multiplying fractions and getting \(\frac{12}{16}\)?
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Simplify to \(\frac{3}{4}\) by dividing by the GCD, 4.
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What is the meaning of cross simplify while multiplying?
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Reduce fractions where possible before actual multiplication.
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What is \(\frac{1}{6} \times 3\)?
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\(\frac{1}{2}\).
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Why do you sometimes not simplify right away in multiplying?
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It might be complex, so simplifying after multiplication could be clearer.
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