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How to Add Two Fractions with Unlike Denominators

Can the fraction 17/35 be simplified?

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No, 17/35 cannot be simplified further as there is no common multiple of 17 and 35.

What is the first step to add fractions with unlike denominators?

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The first step is to get common denominators.

How can you get common denominators?

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A simple way to get common denominators is to multiply one fraction by the other denominator.

Why do you multiply one fraction by the denominator of the second fraction?

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This is done to make the numbers on the bottom of the fraction the same.

Does multiplying the numerator by the denominator change the value of the fraction?

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No, multiplying the numerator by the denominator does not change the value of the fraction.

What do you do to the second fraction to get a common denominator?

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Multiply it by the denominator of the first fraction.

Why must you do the same operation to both the numerator and the denominator?

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This is to maintain the value of the fraction.

Can you provide an example of adding 2/3 + 1/4?

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Sure, multiply the first fraction by 4/4 and the second fraction by 3/3 to get 8/12 + 3/12, which equals 11/12.

What is the next example provided for adding fractions?

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Adding 1/5 + 2/7.

How do you find the common denominator for 1/5 and 2/7?

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Multiply the first fraction by 7/7 and the second fraction by 5/5 to get 7/35 + 10/35.

What is the result of adding 7/35 + 10/35?

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The result is 17/35.

Can the fraction 17/35 be simplified?

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No, 17/35 cannot be simplified further as there is no common multiple of 17 and 35.

What is the first step to add fractions with unlike denominators?

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The first step is to get common denominators.

    flashcard: How to Add Fractions with Unlike Denominators: Easy Steps & Examples