Adding Fractions With Common Denominators

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| By MillsMelanyL

MillsMelanyL

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Quizzes Created: 2 | Total Attempts: 6,540

Questions: 6 | Attempts: 1,140 | Updated: Mar 20, 2023

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This quiz focuses on adding fractions with common denominators, testing the ability to perform basic arithmetic operations and simplify results. It's designed to enhance learners' understanding and proficiency in handling fractional quantities effectively.

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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12
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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10
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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2
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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1
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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1
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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2