Reduce Fractions Practice Problems - Simplify & Expand

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

• Step 1: Multiply the numerator of $\frac{1}{16}$, which is 1, by the factor of 10.
• Step 2: Use the same denominator, which remains as 16.

Now, let's work through each step:
Step 1: The numerator is 1. Multiplying this by the factor 10 gives us $1 \times 10 = 10$.
Step 2: The denominator remains 16, so the fraction becomes $\frac{10}{16}$.

After performing the multiplication, the fraction becomes $\frac{10}{16}$. To simplify this solution, we can reduce $\frac{10}{16}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This results in the final reduced fraction $\frac{5}{8}$. However, our task was to simply multiply and not reduce, so we end with:

The solution to the problem is $\frac{10}{160}$.

To solve this problem, we need to increase the fraction $\frac{10}{12}$ by a factor of 2. This can be accomplished by multiplying both the numerator and the denominator by 2, to maintain the value relationship while doubling the fraction.

Let's go through the solution step-by-step:

• Step 1: Identify the original fraction, which is $\frac{10}{12}$.
• Step 2: Multiply the numerator by 2. This results in $10 \times 2 = 20$.
• Step 3: Multiply the denominator by 2. This results in $12 \times 2 = 24$.
• Step 4: Construct the new fraction $\frac{20}{24}$.

The fraction $\frac{20}{24}$ is the result of increasing the original fraction by a factor of 2. In this case, this number is confirmed to be the correct answer.

Therefore, the solution to the problem is $\frac{20}{24}$.

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

• Step 1: Identify the original fraction.
• Step 2: Multiply the numerator by the factor provided, keeping the denominator the same.
• Step 3: Compute the computation to give the expanded fraction.

Now, let's work through each step:
Step 1: The original fraction given is $\frac{6}{10}$.
Step 2: Multiply the numerator $6$ by the factor $3$, which yields $6 \times 3 = 18$. The denominator remains $10$, forming the new fraction $\frac{18}{10}$.
Step 3: To express the fraction with a factor of 3 for both parts, multiply both numerator and denominator by the same $3$ to illustrate the transformation properly: $\frac{18}{10 \times 3} = \frac{18}{30}$.

Therefore, the solution to the problem is $\frac{18}{30}$.

To solve the problem of increasing the fraction $\frac{3}{10}$ by a factor of 5, follow these steps:

• Step 1: Multiply the numerator by 5.
  The original numerator is 3, so $3 \times 5 = 15$.
• Step 2: Multiply the denominator by 5.
  The original denominator is 10, so $10 \times 5 = 50$.
• Step 3: Write the new fraction.
  The resulting fraction after applying the factor is $\frac{15}{50}$.

Thus, when we increase the fraction $\frac{3}{10}$ by a factor of 5, we get $\frac{15}{50}$.

Therefore, the correct answer is $\frac{15}{50}$.

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

• Step 1: Identify the given fraction $\frac{2}{15}$.
• Step 2: Multiply both the numerator and the denominator by the factor 3.
• Step 3: Write the new fraction.

Now, let's work through each step:

Step 1: The given fraction is $\frac{2}{15}$.

Step 2: We need to enlarge this fraction by a factor of 3.
Multiply the numerator: $2 \times 3 = 6$.
Multiply the denominator: $15 \times 3 = 45$.

Step 3: The enlarged fraction is $\frac{6}{45}$.

Therefore, the solution to the problem is $\frac{6}{45}$.