Flashcards for:
Adding Fractions Using the Butterfly Method
What is the main advantage of the butterfly method?
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The main advantage is that it provides a clear, visual approach to adding fractions that can be easier for some students to understand and remember.
What method are we discussing for adding fractions?
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We're discussing the butterfly method for adding fractions.
What do you do first in the butterfly method?
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First, you multiply across the numerators and denominators to get four products.
What are the two products you get when multiplying across in the butterfly method?
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The first product is the product of the numerators across, and the second product is the product of the denominators across.
What do you do with the products obtained from the butterfly method?
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You add the two products of the numerators and place the sum over the product of the denominators.
Can you give an example of adding two fractions using the butterfly method?
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Yes, for example, if we add 5/3 and 2/7, we get 29/35.
What are the steps to add 2/9 and 3/5 using the butterfly method?
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First, multiply 9 * 3 to get 27, then multiply 2 * 5 to get 10, and multiply 9 * 5 to get 45. Add 27 + 10 to get 37, which gives us the answer 37/45.
Why is the method called the butterfly method?
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The name 'butterfly' is used because the shape formed by the fractions when the numerators and denominators are crossed out resembles a butterfly.
Is it necessary to simplify the fraction after using the butterfly method?
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Yes, it is often necessary to simplify the fraction to get the final answer in its simplest form.
What is the final step in the butterfly method for adding fractions?
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The final step is to simplify the resulting fraction if possible.
Can you add mixed numbers using the butterfly method?
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No, the butterfly method is used for adding proper or improper fractions, not mixed numbers.
How do you determine the common denominator when adding fractions?
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The common denominator is the product of the denominators in the butterfly method.
What is the result of adding 5/3 and 2/7 using the butterfly method?
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The result is 29/35.
What is the result of adding 2/9 and 3/5 using the butterfly method?
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The result is 37/45.
Are there any restrictions on the fractions that can be added using the butterfly method?
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No, any two fractions can be added using the butterfly method.
How does the butterfly method differ from other methods of adding fractions?
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The butterfly method uses a visual approach with the fractions arranged in a specific pattern, whereas other methods may involve finding a common denominator and converting the fractions to equivalent forms.
Can you add more than two fractions using the butterfly method?
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No, the butterfly method is specifically designed for adding two fractions at a time.
What do you do if the numerators add up to a number greater than the denominator?
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You simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor.
Is the butterfly method taught in all countries?
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It varies by country and curriculum; some educational systems may use this method while others may not.
What is the main advantage of the butterfly method?
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The main advantage is that it provides a clear, visual approach to adding fractions that can be easier for some students to understand and remember.
What method are we discussing for adding fractions?
Press to flip
We're discussing the butterfly method for adding fractions.