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 the problem of adding the fractions $\frac{1}{4}$ and $\frac{3}{4}$, we can follow these steps:

• Step 1: Identify that both fractions share the same denominator of 4.
• Step 2: Add the numerators directly: $1 + 3 = 4$.
• Step 3: Retain the common denominator, giving us $\frac{4}{4}$.
• Step 4: Simplify the result, $\frac{4}{4} = 1$.

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

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

• Step 1: Verify that both fractions have the same denominator.
• Step 2: Add the numerators of the two fractions.
• Step 3: Retain the common denominator.
• Step 4: Simplify the resulting fraction if needed.

Let's work through each step to add $\frac{1}{2} + \frac{1}{2}$:
Step 1: Both fractions have the same denominator: 2.
Step 2: Add the numerators: $1 + 1 = 2$.
Step 3: The denominator remains the same: 2.
Now the sum is: $\frac{2}{2}$.
Step 4: Simplify if needed: $\frac{2}{2} = 1$.

Therefore, the solution to the problem is $1$, which corresponds to answer choice 2.

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 $1$.

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 $\frac{3}{5}$.