Addition of Fractions Practice Problems with Solutions

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 this problem, we will follow these steps:

• Step 1: Identify that both fractions have the same denominator.
• Step 2: Use the formula for adding fractions with like denominators.
• Step 3: Calculate the sum of the numerators and keep the denominator unchanged.

Now, let’s work through each step:
Step 1: We observe that the fractions $\frac{5}{9}$ and $\frac{4}{9}$ both have the denominator of 9.
Step 2: We'll apply the formula for adding fractions: $\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}$.
Step 3: Add the numerators 5 and 4 while keeping the denominator as 9:
$\frac{5}{9} + \frac{4}{9} = \frac{5 + 4}{9} = \frac{9}{9} = 1$.

Therefore, the solution to the problem is $1$.

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 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 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.