Addition of Fractions: Visual display of fractions with like denominators

To solve this problem, let's follow these steps:

• Step 1: Identify that both fractions $\frac{2}{4}$ and $\frac{1}{4}$ have the same denominator.
• Step 2: Add the numerators together while keeping the denominator the same.
• Step 3: Simplify the resulting fraction if possible.

Now, let's perform these steps:

Step 1: The denominator for both fractions is 4, so we can proceed with addition.

Step 2: Add the numerators: $2 + 1 = 3$.

Step 3: Place the result over the common denominator: $\frac{3}{4}$.

Therefore, the result of adding $\frac{2}{4} + \frac{1}{4}$ is $\frac{3}{4}$.

This matches the correct choice, which is $\frac{3}{4}$.

To solve this problem, we'll follow these steps:

• Step 1: Identify that both fractions have the same denominator.
• Step 2: Add the numerators of the two fractions.
• Step 3: Keep the common denominator unchanged.
• Step 4: Express the result as a simplified fraction if necessary.

Now, let's work through each step:
Step 1: Both fractions are $\frac{1}{8}$ and $\frac{6}{8}$, with a common denominator of 8.
Step 2: Add the numerators: $1 + 6 = 7$.
Step 3: Use the common denominator to create the sum: $\frac{7}{8}$.
Step 4: The fraction $\frac{7}{8}$ is already in its simplest form, as 7 and 8 have no common factors other than 1.

Therefore, the solution to the problem is $\frac{7}{8}$.

To solve the problem of adding the fractions $\frac{2}{6} + \frac{1}{6}$, follow these steps:

• Step 1: Verify that both fractions have the same denominator.
• Step 2: Add the numerators of the fractions together, as they share the same denominator.
• Step 3: Write the result with the common denominator.

Let's work through these steps:

Step 1: Both fractions, $\frac{2}{6}$ and $\frac{1}{6}$, have the same denominator, 6.

Step 2: Add the numerators: $2 + 1 = 3$.

Step 3: Place the result over the common denominator: $\frac{3}{6}$.

Therefore, the solution to the problem is $\frac{3}{6}$. This matches the answer choice: .

To solve the problem of adding the fractions $\frac{2}{5}$ and $\frac{1}{5}$, we will utilize the fact that these fractions have the same denominator.

Here are the steps we will follow:

• Step 1: Identify the fractions to be added. We have $\frac{2}{5}$ and $\frac{1}{5}$.
• Step 2: Notice that both fractions have the same denominator, which is 5.
• Step 3: Add the numerators of the fractions while keeping the denominator unchanged.
• Step 4: The sum of the numerators is $2 + 1 = 3$.
• Step 5: Therefore, place the sum of the numerators over the common denominator 5, giving us $\frac{3}{5}$.

Thus, the sum of $\frac{2}{5}$ and $\frac{1}{5}$ is $\frac{3}{5}$.

To solve the problem of adding the fractions $\frac{2}{6}$ and $\frac{3}{6}$, follow these steps:

• Step 1: Observe that the denominators of both fractions are identical, which is 6. This means we can add the fractions by simply adding their numerators.
• Step 2: Add the numerators: $2 + 3 = 5$.
• Step 3: Use the common denominator, which remains 6, to write the sum: $\frac{5}{6}$.

Therefore, the sum of $\frac{2}{6}$ and $\frac{3}{6}$ is $\frac{5}{6}$.

The correct answer to the problem is $\frac{5}{6}$.

To solve the problem of $\frac{5}{8} + \frac{1}{8}$, follow these steps:

• Step 1: Identify that both fractions have the same denominator: 8.
• Step 2: Since the denominators are the same, add the numerators to get a new numerator: $5 + 1 = 6$.
• Step 3: The resulting fraction is $\frac{6}{8}$.
• Step 4: Simplify the fraction if needed; $\frac{6}{8}$ simplifies to $\frac{3}{4}$, which is a reduced form.

Therefore, the solution for the fraction addition $\frac{5}{8} + \frac{1}{8}$ is $\frac{6}{8}$, which simplifies to $\frac{3}{4}$, but considering the choices given, the answer choice corresponds to $\frac{6}{8}$, which is choice 3.

To solve this problem, we'll follow these steps:

• Step 1: Identify the fractions and check the denominators.
• Step 2: Add the numerators since the denominators are the same.
• Step 3: Reduce the fraction to its simplest form if possible.

Now, let's work through each step:
Step 1: We observe that the fractions are $\frac{3}{7}$ and $\frac{2}{7}$, both having the same denominator, 7.
Step 2: Since the denominators are the same, we can directly add the numerators: $3 + 2 = 5$.
Step 3: This results in the fraction $\frac{5}{7}$. As the fraction is already in its simplest form, no further simplification is needed.

Therefore, the solution to the problem is $\frac{5}{7}$.

To solve the given problem, follow these steps:

• Step 1: Verify that both fractions have the same denominator.
  In this case, $\frac{2}{9}$ and $\frac{3}{9}$ both have a denominator of 9.
• Step 2: Add the numerators of the fractions.
  This results in $2 + 3 = 5$.
• Step 3: Keep the denominator the same.
  Thus, the sum is $\frac{5}{9}$.

Therefore, the solution to the problem is $\frac{5}{9}$.

To solve this problem, we need to add the two fractions with the same denominator.

• Step 1: Identify the fractions: $\frac{3}{8}$ and $\frac{4}{8}$.
• Step 2: Add the numerators since they have the same denominator: $3 + 4$.
• Step 3: The result of the addition is $\frac{7}{8}$.
• Step 4: There's no need to simplify further, as $\frac{7}{8}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{7}{8}$.

To solve this problem, we'll perform the following steps:

• Step 1: Identify the numerators and denominators of the given fractions.
• Step 2: Add the numerators while keeping the same denominator.

Now, let's work through each step:
Step 1: The given fractions are $\frac{1}{4}$ and $\frac{1}{4}$. Both have a denominator of 4 and a numerator of 1.
Step 2: We will add the numerators: $1 + 1 = 2$, and keep the denominator as 4. This results in $\frac{2}{4}$.

Therefore, the solution to the problem is $\frac{2}{4}$. Looking at the choices provided, this matches choice 3: $\frac{2}{4}$.

To solve this problem, we need to add the fractions $\frac{1}{5}$ and $\frac{4}{5}$. Let's follow these steps:

• Step 1: Ensure the fractions have the same denominator.
  Both fractions, $\frac{1}{5}$ and $\frac{4}{5}$, already have the same denominator, which is 5.
• Step 2: Add the numerators while keeping the denominator the same.
  Compute $1 + 4 = 5$. This gives us the new fraction $\frac{5}{5}$.
• Step 3: Simplify the fraction if needed.
  The fraction $\frac{5}{5}$ simplifies to 1, since 5 divided by 5 is 1.
• Step 4: Confirm against the answer choices.
  The simplified result 1 corresponds to choice number 2, which is 1.

Therefore, the solution to the problem is 1.

To solve this problem, we'll follow these steps:

• Step 1: Identify the common denominator.
• Step 2: Add the numerators and keep the common denominator.

Now, let's work through each step:
Step 1: Both fractions $\frac{1}{5}$ and $\frac{3}{5}$ have the common denominator of 5.
Step 2: Add the numerators: $1 + 3 = 4$.
Thus, we get $\frac{4}{5}$.

Therefore, the solution to the problem is $\frac{4}{5}$. This corresponds to choice 4.

To solve this problem, let's add the two fractions: $\frac{1}{6} + \frac{3}{6}$.

Step 1: Confirm the denominators are the same. In this case, both fractions have the denominator of 6.

Step 2: Add the numerators while keeping the common denominator:

• Numerators: $1 + 3 = 4$
• Denominator: 6

Step 3: Combine the result from Step 2:

$\frac{1}{6} + \frac{3}{6} = \frac{4}{6}$

Thus, the solution to the problem is $\frac{4}{6}$.

To solve this problem, we'll follow these steps:

• Step 1: Confirm that the denominators are the same.
• Step 2: Add the numerators while keeping the denominator unchanged.
• Step 3: Write down the result as a new fraction.

Now, let's work through the solution:

Step 1: We observe that both fractions have the same denominator, which is 6.

Step 2: Add the numerators. The numerators are both 2, so $2 + 2 = 4$.

Step 3: Write the sum of the numerators over the common denominator:
$\frac{4}{6}$

Thus, the correct answer is $\frac{4}{6}$, which corresponds to choice 4.

To solve this problem of adding fractions with like denominators, we will follow these steps:

• Step 1: Identify and confirm that the denominators of both fractions are the same. Here, both fractions have the denominator $7$.
• Step 2: Add the numerators of both fractions: $3 + 1 = 4$.
• Step 3: Keep the common denominator, which is $7$.
• Step 4: Write the resultant fraction as $\frac{4}{7}$.

Therefore, the sum of $\frac{3}{7}$ and $\frac{1}{7}$ is $\frac{4}{7}$.

To solve this problem, we need to add the fractions $\frac{2}{7}$ and $\frac{3}{7}$. Since both fractions have the same denominator, the process is simple:

• Step 1: Verify the fractions have a common denominator, which is 7.
• Step 2: Add the numerators together. Thus, $2 + 3 = 5$.
• Step 3: Keep the common denominator unchanged.

By adding the numerators $2$ and $3$, we obtain $5$, and the denominator remains $7$. Therefore, the resulting fraction is $\frac{5}{7}$.

This matches the given correct answer.

Hence, the solution to the problem is $\frac{5}{7}$.

To solve this problem, we'll add two fractions with a common denominator:

• Step 1: Identify the numerators and the common denominator of the fractions.
• Step 2: Add the numerators, keeping the denominator unchanged.

Let's do this for our given fractions:

We have the fractions $\frac{1}{5}$ and $\frac{1}{5}$. Both have the same denominator, which is 5.
Step 1: The numerators are 1 and 1, and the common denominator is 5.

Step 2: Add the numerators while keeping the denominator same:
$\frac{1}{5} + \frac{1}{5} = \frac{1 + 1}{5} = \frac{2}{5}$.

Thus, the solution to the problem is $\frac{2}{5}$.

To solve this problem, we will follow these steps:

• Step 1: Identify the denominators of the fractions. Both $\frac{2}{5}$ and $\frac{3}{5}$ have the denominator 5.
• Step 2: When adding fractions with the same denominator, we only need to add the numerators.
• Step 3: Calculate $\frac{2}{5} + \frac{3}{5} = \frac{2 + 3}{5} = \frac{5}{5}$.
• Step 4: Simplify $\frac{5}{5}$, which equals 1.

Therefore, the solution to the problem is 1.

To solve this problem, let's add the fractions $\frac{1}{6}$ and $\frac{1}{6}$.

• Step 1: Confirm that the denominators are the same, which they are. Both fractions have a denominator of 6.
• Step 2: Add the numerators together: $1 + 1 = 2$.
• Step 3: Write the result as a fraction over the common denominator: $\frac{2}{6}$.

Thus, the sum of $\frac{1}{6} + \frac{1}{6}$ is $\frac{2}{6}$.

Therefore, the correct answer is choice 3: $\frac{2}{6}$.

To solve the problem, we'll proceed with the following steps:

• Step 1: Ensure the fractions have the same denominator.
• Step 2: Add the numerators while keeping the common denominator.
• Step 3: Simplify the resulting fraction if needed.

Now, let's execute these steps:

Step 1: Both fractions, $\frac{4}{5}$ and $\frac{1}{5}$, have the denominator 5.
Step 2: Add the numerators: $4 + 1 = 5$. Keep the common denominator: $\frac{5}{5}$.
Step 3: Simplify the fraction $\frac{5}{5}$. Since the numerator and denominator are the same, this simplifies to 1.

Therefore, the answer is $1$.