Flashcards for:
Multiplying Mixed Numbers
Can you multiply mixed numbers directly without converting them to improper fractions?
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No, multiplying mixed numbers directly would not yield a correct result; they must be converted to improper fractions first.
How do you convert a mixed number to an improper fraction?
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To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. The denominator remains the same.
What is the first step in multiplying two mixed numbers?
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The first step is to convert each mixed number into an improper fraction.
How do you multiply the improper fractions?
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Multiply the numerators together and the denominators together to get the product as an improper fraction.
How do you convert the improper fraction back to a mixed number?
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Divide the numerator by the denominator to get the whole number and the remainder as the new numerator for the fraction.
What is the result of multiplying 2 and 1/3 by 4 and 2/5?
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The result is 154/15, which is equivalent to 10 and 4/15 as a mixed number.
What is the result of multiplying 3 and 1/4 by 2 and 5/6?
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The result is 221/24, which is equivalent to 9 and 5/24 as a mixed number.
What is the process of multiplying mixed numbers called?
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The process is called multiplication of mixed numbers.
Why do you need to convert mixed numbers to improper fractions before multiplying?
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Converting to improper fractions simplifies the multiplication process by allowing direct multiplication of the numerators and denominators.
How do you find the highest multiple of a denominator that is just under the numerator of an improper fraction?
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List the multiples of the denominator until you find one that is less than the numerator.
What do you do with the remainder when converting an improper fraction back to a mixed number?
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The remainder becomes the numerator of the fraction part of the mixed number.
Can you multiply mixed numbers directly without converting them to improper fractions?
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No, multiplying mixed numbers directly would not yield a correct result; they must be converted to improper fractions first.
How do you convert a mixed number to an improper fraction?
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To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. The denominator remains the same.