Simple Fraction Practice: Reduce and Expand Fractions

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

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

Let's reduce as follows, we'll divide both the numerator and denominator by 5:

$\frac{15:5}{10:5}=\frac{3}{2}$

Let's simplify as follows, we'll divide both the numerator by 2 and the denominator by 2:

$\frac{12:2}{8:2}=\frac{6}{4}$

Let's simplify as follows, we'll divide both the numerator by 4 and the denominator by 4:

$\frac{4:4}{8:4}=\frac{1}{2}$

To solve the problem of enlarging the fraction $\frac{1}{3}$ by a factor of 4, we will follow these steps:

• Step 1: Identify the given fraction and enlargement factor. The fraction is $\frac{1}{3}$ and the factor is 4.
• Step 2: Multiply both the numerator and denominator of the fraction by the enlargement factor. This means we calculate:

$\frac{1 \times 4}{3 \times 4} = \frac{4}{12}$

Step 3: Check if the fraction can be simplified. Here, $\frac{4}{12}$ can be simplified to $\frac{1}{3}$, but since we aim to express it in an "enlarged" form, $\frac{4}{12}$ is a correct representation when enlarged by the given factor.

Step 4: Verify against answer choices if applicable. In our list of choices, $\frac{4}{12}$ is listed as choice 3, which matches our calculated answer.

Therefore, the solution to the problem is $\frac{4}{12}$.