Addition of Fractions Practice Problems with Solutions

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 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: 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 $\frac{1}{9}$ and $\frac{2}{9}$, we proceed with the following steps:

• Step 1: Verify that the fractions have the same denominator.
  Both fractions, $\frac{1}{9}$ and $\frac{2}{9}$, have a common denominator of 9.
• Step 2: Add the numerators.
  The numerators are 1 and 2, respectively. So, $1 + 2 = 3$.
• Step 3: Write the result over the common denominator.
  This gives us the fraction $\frac{3}{9}$.
• Step 4: Simplify the fraction if possible.
  The fraction $\frac{3}{9}$ can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 3: $\frac{3}{9} = \frac{3 \div 3}{9 \div 3} = \frac{1}{3}$

Therefore, the solution to the problem is $\frac{1}{3}$.

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 $\frac{3}{4}$.