How do you simplify fractions? - Examples, Exercises and Solutions

Let's reduce as follows, we'll divide both the numerator and denominator by 1:

$\frac{1:1}{1:1}=\frac{1}{1}$

Let's reduce as follows, divide the numerator by 4 and the denominator by 4:

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

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 2 and the denominator by 2:

$\frac{16:2}{8:2}=\frac{8}{4}$

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

$\frac{2:2}{10:2}=\frac{1}{5}$

We will reduce in the following way, divide the numerator by 4 and the denominator by 4:

$\frac{4:4}{16:4}=\frac{1}{4}$

We will reduce in the following way, divide the numerator by 1 and the denominator by 1:

$\frac{3:1}{10:1}=\frac{3}{10}$

We will reduce as follows, divide the numerator by 3 and the denominator by 3:

$\frac{3:3}{6:3}=\frac{1}{2}$

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

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

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

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

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

• Step 1: Multiply the numerator of the fraction by the enlargement factor.
• Step 2: Multiply the denominator of the fraction by the enlargement factor.
• Step 3: Write the new fraction formed after multiplication.

Now, let's work through each step:

Step 1: The numerator of $\frac{8}{9}$ is 8. Multiply 8 by 11:
$8 \times 11 = 88$.

Step 2: The denominator of $\frac{8}{9}$ is 9. Multiply 9 by 11:
$9 \times 11 = 99$.

Step 3: The enlarged fraction is given by the new numerator and denominator:
$\frac{88}{99}$.

Therefore, the solution to the problem is $\frac{88}{99}$.

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 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 $\frac{4}{12}$.

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

• Step 1: Multiply the numerator by the enlargement factor.
• Step 2: Multiply the denominator by the enlargement factor.
• Step 3: Write down the new fraction.

Now, let's work through each step:
Step 1: Multiply the numerator of $\frac{9}{10}$, which is 9, by the factor 8:
$9 \times 8 = 72$
Step 2: Multiply the denominator of $\frac{9}{10}$, which is 10, by the factor 8:
$10 \times 8 = 80$
Step 3: The enlarged fraction is $\frac{72}{80}$.

Therefore, the solution to the problem is that $\frac{9}{10}$ enlarged by a factor of 8 is $\frac{72}{80}$.

To solve this problem, we need to enlarge the fraction $\frac{7}{9}$ by a factor of 9.

First, let's restate the initial fraction:

• The given fraction is $\frac{7}{9}$.
• The factor to enlarge by is 9.

Now, we'll apply the enlargement:

• Multiply the numerator (7) by the factor 9:
  $7 \times 9 = 63$.
• Multiply the denominator (9) by the factor 9:
  $9 \times 9 = 81$.

Thus, the enlarged fraction is $\frac{63}{81}$.

Comparing this result with the given multiple choice options confirms that our answer is option 3, $\frac{63}{81}$.

Therefore, the enlarged fraction is $\frac{63}{81}$.