Adding Fractions With Common Denominators

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| By MillsMelanyL

MillsMelanyL

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Quizzes Created: 2 | Total Attempts: 5,920

Questions: 6 | Attempts: 1,056 | Updated: Mar 20, 2023

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Students must add and simplify fractions with common denominators.

Questions and Answers

1.

Add and reduce to simplest term.5/8 + 1/8

Explanation
To add fractions, we need a common denominator. In this case, both fractions have a denominator of 8. So, we can add the numerators together and keep the denominator the same. 5/8 + 1/8 = (5+1)/8 = 6/8. To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 6 by 2 and 8 by 2 gives us 3/4. Therefore, the simplest form of 5/8 + 1/8 is 3/4.

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2.

Add and reduce to simplest term.1/7 + 2/7

Explanation
To add fractions, we need to have the same denominator. In this case, both fractions have a denominator of 7, so we can simply add the numerators. Adding 1 and 2 gives us 3, and the denominator remains 7. Therefore, the sum of 1/7 and 2/7 is 3/7.

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3.

Add and reduce to simplest term.2/9 + 2/9

Explanation
The given question asks to add the fractions 2/9 and 2/9 and then reduce the result to its simplest form. When we add 2/9 and 2/9, we get 4/9. This fraction cannot be simplified any further, so the answer is 4/9.

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4.

Add and reduce to simplest term.4/13 + 7/13

Explanation
The given question asks to add 4/13 and 7/13 and reduce the result to its simplest form. When we add the numerators (4+7), we get 11 as the numerator. Since the denominators are the same (13), we keep it the same in the result. Therefore, the sum of 4/13 and 7/13 is 11/13.

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5.

Add and reduce to simplest term.7/15 + 2/15

Explanation
To add fractions, we need a common denominator. In this case, both fractions already have a denominator of 15, so we can simply add the numerators. 7/15 + 2/15 equals 9/15. To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 3. So, 9/15 simplifies to 3/5.

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6.

Add and reduce to simplest term.3/10 + 1/10

Explanation
To add fractions, we need to have a common denominator. In this case, both fractions have a denominator of 10, so we can simply add the numerators. 3/10 + 1/10 equals 4/10, which can be simplified to 2/5 by dividing both the numerator and denominator by 2. Therefore, the correct answer is 2/5.

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