Multiplication of Fractions Practice Problems and Solutions

To solve this problem, we will multiply the two fractions given: $\frac{1}{4}$ and $\frac{1}{2}$.

• Step 1: Multiply the numerators: $1 \times 1 = 1$.
• Step 2: Multiply the denominators: $4 \times 2 = 8$.
• Step 3: Combine these results into a new fraction: $\frac{1}{8}$.

Therefore, the product of the fractions $\frac{1}{4}$ and $\frac{1}{2}$ is $\frac{1}{8}$. This matches choice 3 from the provided answer choices.

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

• Step 1: Multiply the numerators of the fractions.
• Step 2: Multiply the denominators of the fractions.
• Step 3: Simplify the resulting fraction if needed.

Now, let's work through each step:

Step 1: The fractions are given as $\frac{3}{4}$ and $\frac{1}{2}$. Multiplying the numerators, we get:

Step 2: Next, multiply the denominators:

Step 3: Combine these results to write the product of the fractions:

The resulting fraction $\frac{3}{8}$ is already in its simplest form, so no further simplification is necessary.

Therefore, the solution to the problem is $\frac{3}{8}$.

To solve the problem of multiplying two fractions $\frac{1}{6}$ and $\frac{1}{3}$, we'll follow these steps:

• Step 1: Multiply the numerators of the fractions.
• Step 2: Multiply the denominators of the fractions.
• Step 3: Simplify the resulting fraction if necessary.

Let's apply these steps to our problem:

Step 1: Multiply the numerators: $1 \times 1 = 1$.
Step 2: Multiply the denominators: $6 \times 3 = 18$.

Therefore, the product of $\frac{1}{6}$ and $\frac{1}{3}$ is $\frac{1}{18}$.

The solution to the problem is $\frac{1}{18}$, which corresponds to choice 4.

To solve the problem of multiplying the fractions $\frac{1}{4}$ and $\frac{3}{2}$, we will follow these steps:

• Step 1: Multiply the numerators of the fractions.
• Step 2: Multiply the denominators of the fractions.
• Step 3: Write the result as a fraction and simplify if needed.

Now, let's work through each step:

Step 1: Multiply the numerators:
The numerators are $1$ and $3$. Thus, $1 \times 3 = 3$.

Step 2: Multiply the denominators:
The denominators are $4$ and $2$. Thus, $4 \times 2 = 8$.

Step 3: Write the result as a fraction and simplify:
The resulting fraction is $\frac{3}{8}$. This fraction is already in simplest form.

Therefore, the solution to the problem is $\frac{3}{8}$.

Among the choices provided, the correct answer is choice 3: $\frac{3}{8}$.

Let us solve the problem of multiplying the two fractions $\frac{2}{3}$ and $\frac{5}{7}$.

• Step 1: Identify the numerators and denominators. Here, the numerators are $2$ and $5$, and the denominators are $3$ and $7$.
• Step 2: Multiply the numerators: $2 \times 5 = 10$.
• Step 3: Multiply the denominators: $3 \times 7 = 21$.
• Step 4: Put the results together in a new fraction: $\frac{10}{21}$.
• Step 5: Simplify the fraction if needed. In this case, $\frac{10}{21}$ is already in its simplest form as $10$ and $21$ have no common factors besides $1$.

Therefore, the solution to the problem $\frac{2}{3} \times \frac{5}{7}$ is $\frac{10}{21}$.