Adding Fractions With Common Denominators

1. Add and reduce to simplest term.

4/13 + 7/13

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.

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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2. Add and reduce to simplest term.

1/7 + 2/7

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.

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

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.

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.

5/8 + 1/8

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.

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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5. Add and reduce to simplest term.

3/10 + 1/10

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.

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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6. Add and reduce to simplest term.

7/15 + 2/15

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.

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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