Addition of Fractions Practice Problems with Solutions

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 $\frac{5}{6}$.