Adding Fractions with Common Denominators

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What is the sum of 1/6 + 3/6?

The sum is 4/6, which simplifies to 2/3.

How do you add fractions with the same denominators?

Add the numerators together and keep the same denominator.

What is 2/8 + 3/8?

The sum is 5/8.

Why do the denominators stay the same when adding fractions with common denominators?

The denominator indicates the parts of the whole, so it stays the same while you add the parts (numerators).

If you add 5/9 and 2/9, what is the result?

The result is 7/9.

What is the sum of 4/5 + 1/5?

The sum is 5/5, which simplifies to 1.

How do you verify your answer to a fraction addition problem?

Check that the numerators are added correctly and the denominators remain the same; optionally, simplify if possible.

What is an example of adding 0 (zero) to a fraction?

3/7 + 0/7 = 3/7 because adding zero doesn't change the value.

What is the result of 6/12 + 3/12 and how can it be simplified?

The result is 9/12, which simplifies to 3/4.

What happens when the result of adding fractions equals the denominator?

When the result's numerator equals the denominator, the sum is 1, indicating a whole.

What is 7/14 + 5/14?

The sum is 12/14, which simplifies to 6/7.

Why do you not need to change the denominators for these additions?

Because the denominators are already common, there's no need to adjust them.

If you have 9/10 and you add 1/10, what do you get?

You get 10/10, which simplifies to 1.

What is the sum of 2/4 and 1/4, and how can you simplify it?

The sum is 3/4, which is already in its simplest form.

What is the result of adding 0/11 to 8/11?

The result is 8/11, since adding zero doesn't change the fraction.





Test Your Knowledge

Select the correct option


1. What is the sum of 1/6 + 3/6?

5/6, which simplifies to 5/6.

4/6, which simplifies to 1/2.

4/6, which simplifies to 2/3.

3/6, which simplifies to 1/2.

2. How do you add fractions with the same denominators?

Substitute the numerators with their average and adjust the denominator.

Add the numerators together and keep the same denominator.

Subtract the numerators and adjust the denominator based on difference.

Multiply the numerators and reduce the denominator.

3. What is 2/8 + 3/8?

4/8, which simplifies to 1/2.

6/8, which simplifies to 3/4.

5/8.

7/8.

4. Why do the denominators stay the same when adding fractions with common denominators?

Because the denominators cancel each other out.

Because they are part of different wholes, hence irrelevant.

The denominator indicates the parts of the whole, so it stays the same while you add the parts (numerators).

They actually should be added together.

5. If you add 5/9 and 2/9, what is the result?

8/9

7/9

1/9, since the sum is less than the denominator.

9/9, which simplifies to 1.

6. What is the sum of 4/5 + 1/5?

5/5, which simplifies to 1.

6/5, which simplifies to 1 1/5.

4/5, since 1/5 cancels with 4/5.

3/5.

7. How do you verify your answer to a fraction addition problem?

Multiply the numerators by each other for confirmation.

Ensure the denominators are different for validity.

Check that the numerators are added correctly and the denominators remain the same; optionally, simplify if possible.

Divide the results to ensure they fit within the same whole.

8. What is an example of adding 0 (zero) to a fraction?

3/7 + 0/7 = 3/7 because adding zero doesn't change the value.

0/7 + 3/7 = 0/7 as zero makes the fraction irrelevant.

1/7 + 0/7 = 1/7, altering the whole.

4/7 + 0/7 = 8/7 for consistency with zero.

9. What is the result of 6/12 + 3/12 and how can it be simplified?

1/12, which cannot be simplified further.

9/12, which simplifies to 3/4.

12/12, which simplifies to 1.

6/12, simplified from the numerator only.

10. What happens when the result of adding fractions equals the denominator?

When the result's numerator equals the denominator, the sum is 1, indicating a whole.

The fraction exceeds its parts, creating an improper fraction.

It remains a fraction as the numerator never equals the denominator.

It becomes undefined.

11. What is 7/14 + 5/14?

12/14, which simplifies to 3/7.

12/14, which simplifies to 6/7.

11/14, which simplifies to 9/14.

13/14.

12. Why do you not need to change the denominators for these additions?

Because the denominators are already common, there's no need to adjust them.

Adjustment is always required for precision.

Only the lowest fraction's denominator is used.

They should be added together for accuracy.

13. If you have 9/10 and you add 1/10, what do you get?

8/10, simplifying to 4/5.

10/10, which simplifies to 1.

9/10, with no simplification needed.

11/10, resulting in 1 1/10.

14. What is the sum of 2/4 and 1/4, and how can you simplify it?

2/4, with no further simplification.

3/4, which is already in its simplest form.

1/4, wrongly added together.

3/2, an incorrect improper fraction.

15. What is the result of adding 0/11 to 8/11?

The result is 8/11, since adding zero doesn't change the fraction.

9/11, after miscalculating the sum.

7/11, reflecting a reverse operation.

0/11, incorrectly assuming zeroing out.