Simple Fraction Practice: Reduce and Expand Fractions

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 $\frac{6}{45}$.

To solve this problem, we need to increase the fraction $\frac{1}{10}$ by a factor of 10. We will accomplish this by multiplying both the numerator and the denominator by 10.

• Step 1: Multiply the numerator, 1, by the factor 10:
  $1 \times 10 = 10$
• Step 2: Multiply the denominator, 10, by the factor 10:
  $10 \times 10 = 100$

The fraction $\frac{1}{10}$, increased by a factor of 10, results in $\frac{10}{100}$.

After performing these steps, we have successfully increased the fraction by a factor of 10 to reach $\frac{10}{100}$.

The correct answer from the provided choices is: $\frac{10}{100}$.

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 $\frac{10}{160}$.

Let's multiply both the numerator and denominator by 2 as follows:

$\frac{3\times2}{5\times2}=\frac{6}{10}$

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 $\frac{18}{30}$.