Adding Fractions with Different Denominators

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What is the first step in adding fractions with different denominators?
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Find the least common denominator (LCD) of the fractions.
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How do you find the least common denominator?
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List the multiples of each denominator and find the smallest common multiple.
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After finding the least common denominator, what should you do next?
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Rewrite each fraction as an equivalent fraction with the new denominator.
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When rewriting fractions with a new denominator, how do you adjust the numerators?
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Multiply the numerator by the same number you multiplied the denominator to obtain the LCD.
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After rewriting the fractions with a common denominator, what is the next step?
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Add the numerators while keeping the common denominator.
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What do you do if the resulting fraction after addition is improper?
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Convert the improper fraction to a mixed number.
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How can you simplify the fraction after obtaining a result?
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Divide the numerator and the denominator by their greatest common divisor (GCD).
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What is an example of adding 1/3 and 2/5?
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1/3 + 2/5 = 5/15 + 6/15 = 11/15.
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How do you add multiple fractions with different denominators?
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Find the common denominator for all fractions, rewrite each fraction, then sum.
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What if one fraction is already in the lowest common denominator?
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Only adjust the other fractions to the common denominator.
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Explain the benefit of using the least common denominator.
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It simplifies the process and keeps calculations manageable.
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Can you add fractions with variables in the denominators?
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Yes, by finding a common denominator that includes variable terms.
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What is the key difference between adding and subtracting fractions?
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Subtraction involves subtracting numerators instead of adding them, but similar steps apply otherwise.
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Why is it necessary to have a common denominator?
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To accurately combine parts of the whole represented by each fraction.
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What is the mistake to avoid when adding fractions?
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Adding denominators instead of finding a common denominator.
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