Converting Fractions to Percentages and Vice Versa: Converting from a percentage to a fraction with a denominator of 100

To solve this problem, we'll follow a simple conversion:

• Step 1: Recognize that a percentage represents a number out of 100. Thus, 118% is equivalent to 118 out of 100.
• Step 2: Apply the conversion formula: $\text{Percentage} = \frac{\text{Percentage number}}{100}$.
• Step 3: Directly convert 118% into a fraction using this formula: $\frac{118}{100}$.

Since the problem asks for the fraction with a denominator of 100, we have arrived at the correct form.

Therefore, the fraction form of 118% with a denominator of 100 is $\frac{118}{100}$.

We use the formula:

$\frac{x}{100}=x\%$

$\frac{201}{100}=201\%$

To solve this problem, we will employ the following straightforward steps:

• Step 1: Identify the given percentage, which is 33%.
• Step 2: Use the definition of percentage to convert it into a fraction. A percentage is a fraction out of 100. Therefore, 33% equals $\frac{33}{100}$.

Therefore, the solution to the problem is $\frac{33}{100}$.
Comparing with the given choices, the correct option is .

To solve the problem of converting a percentage to a fraction, follow these steps:

• Step 1: Recognize that the percentage given is 54%.
• Step 2: Use the conversion principle that any percentage can be written as a fraction with a denominator of 100. Thus, 54% is written as $\frac{54}{100}$.
• Step 3: Check if further simplification is needed. In this case, since we were specifically asked for a denominator of 100, no simplification is required.

Therefore, the percentage 54% as a fraction with a denominator of 100 is $\frac{54}{100}$.

To solve the problem of converting 66% into a fraction with a denominator of 100, we follow these simple steps:

• Step 1: Recognize that the percentage 66% means 66 per 100.
• Step 2: Write this as a fraction directly as $\frac{66}{100}$.

Therefore, the percentage 66% expressed as a fraction with a denominator of 100 is $\frac{66}{100}$.

To express 75% as a fraction with a denominator of 100, follow these steps:

• Step 1: Recall that a percentage is a fraction out of 100. This means that 75% represents 75 out of 100.
• Step 2: Write the percentage as a fraction: Since 75% means 75 per hundred, this directly gives us the fraction $\frac{75}{100}$.

Upon checking the given choices, the correct answer is $\frac{75}{100}$, which matches option 4.

Therefore, the solution to the problem is $\frac{75}{100}$.

We use the formula:

$\frac{x}{100}=x\%$

$\frac{87}{100}=87\%$

To solve this problem, we will convert the percentage to a fraction directly:

• Step 1: Understand that when expressing a percentage as a fraction, the number is divided by 100. For example, 89% means 89 per 100.
• Step 2: Write the fraction using the number 89 as the numerator and 100 as the denominator. The fraction thus becomes $\frac{89}{100}$.

Therefore, the percentage 89% expressed as a fraction with a denominator of 100 is $\frac{89}{100}$.

Hence, the correct answer to the problem is $\frac{89}{100}$.

To solve this problem, we need to convert the percentage 10.5% into a fraction with a denominator of 100. We proceed as follows:

Step 1: Recognize that the formula for converting a percentage to a fraction involves placing the percentage number over 100. This is because a percentage is already a number out of 100.

Step 2: Apply the formula to convert 10.5% into a fraction:
We write 10.5% as $\frac{10.5}{100}$.

Step 3: Verify the result: The fraction $\frac{10.5}{100}$ indeed has a denominator of 100, meeting the requirements specified in the problem.

Therefore, the percentage 10.5% expressed as a fraction with a denominator of 100 is $\frac{10.5}{100}$.

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

• Step 1: Recognize that a percentage is a fraction with a denominator of 100.
• Step 2: Write 1.8% as a fraction with a denominator of 100.

Now, let's work through each step:
Step 1: The percentage 1.8% is already signifying 1.8 parts out of 100. Therefore, 1.8% is equivalent to $\frac{1.8}{100}$.
Step 2: As this matches the given condition of having the denominator as 100, no further modification is needed.

Therefore, the solution to the problem is $\frac{1.8}{100}$.

To solve this problem, we'll convert 3.1% into a fraction with denominator of 100 following these steps:

• Identify the given percentage: 3.1%
• Use the conversion method for percentages: Convert the percentage to a fraction by dividing the percentage by 100. Specifically, $3.1\%$ is converted as follows:

Step: Convert the percentage to a fraction:

$3.1\% = \frac{3.1}{100}$

Therefore, the solution to the problem is $\frac{3.1}{100}$

Thus, the correct choice from the given options is:

• Choice 2: $\frac{3.1}{100}$

This matches the correct answer provided initially.

We use the formula:

$\frac{x}{100}=x\%$

$\frac{7.5}{100}=7.5\%$

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

• Step 1: Convert 20% to a fraction by dividing by 100.
• Step 2: Simplify the resulting fraction, if necessary.

Now, let's work through each step:
Step 1: Convert 20% to a fraction:
The percentage 20% can be written as $\frac{20}{100}$.

Step 2: Simplify the fraction:
To simplify $\frac{20}{100}$, we find the greatest common divisor of 20 and 100, which is 20.
Divide both the numerator and the denominator by 20:
$\frac{20 \div 20}{100 \div 20} = \frac{1}{5}$.

Therefore, the fraction equivalent to 20% is $\frac{1}{5}$.

Thus, the correct answer is choice 2: $\frac{1}{5}$.

Let's solve this problem by converting the given percentage into a fraction:

To convert 50% into a fraction, we follow these steps:

• Step 1: Recognize that a percentage is simply a way of expressing a number as parts out of 100. So, 50% is equivalent to $\frac{50}{100}$.
• Step 2: Simplify the fraction $\frac{50}{100}$. The greatest common divisor (GCD) of 50 and 100 is 50. Thus, we divide both the numerator and denominator by 50.
• Step 3: Simplifying, we have:

Thus, the percentage 50% is equal to the fraction $\frac{1}{2}$.

To solve this problem, let's follow these steps:

• Step 1: Convert the percentage to a fraction
• Step 2: Simplify the fraction
• Step 3: Compare with the available choices

Let's perform these steps:

Step 1: Percentages can be expressed as fractions by dividing by 100. So, we write 75% as $\frac{75}{100}$.

Step 2: Now, simplify the fraction. Find the greatest common divisor (GCD) of 75 and 100. The GCD is 25, so we divide both the numerator and the denominator by 25:

$\frac{75}{100} = \frac{75 \div 25}{100 \div 25} = \frac{3}{4}$.

Step 3: Compare our simplified fraction $\frac{3}{4}$ to the given choices. The correct choice is:

$\frac{3}{4}$

Thus, 75% is equal to $\frac{3}{4}$.

To convert the percentage 128% to a fraction, we begin by expressing 128% as a fraction over 100:

$128\% = \frac{128}{100}$

Next, we simplify the fraction $\frac{128}{100}$. We do this by finding the greatest common divisor (GCD) of 128 and 100. The GCD of 128 and 100 is 4.

We divide both the numerator and the denominator by their GCD:

$\frac{128 \div 4}{100 \div 4} = \frac{32}{25}$

Therefore, 128% is equal to the fraction $\frac{32}{25}$.

Thus, in the context of the provided multiple-choice answers, the correct choice is $\frac{32}{25}$, which corresponds to choice 3.

The simplified fraction representation of 128% is $\frac{32}{25}$.

To solve this problem, we will convert the percentage 16% into a fraction:

Step 1: Recognize that percentages are out of 100. Thus, 16% is equal to $\frac{16}{100}$.

Step 2: Simplify the fraction $\frac{16}{100}$ to its lowest terms. To do this, find the greatest common divisor (GCD) of 16 and 100.

The GCD of 16 and 100 is 4.

Step 3: Divide both the numerator and the denominator by the GCD:

$\frac{16 \div 4}{100 \div 4} = \frac{4}{25}$

Thus, the fraction equivalent of 16% is $\frac{4}{25}$.

Therefore, the correct choice from the options provided is $\frac{4}{25}$, which corresponds to choice (3).

To solve the problem of converting 30% to its equivalent fraction, follow these steps:

• Step 1: Convert the percentage to a fraction by placing it over 100:

$30\% = \frac{30}{100}$

• Step 2: Simplify the fraction. Find the greatest common divisor (GCD) of 30 and 100.

Both 30 and 100 are divisible by 10. Divide the numerator and denominator by 10:

$\frac{30 \div 10}{100 \div 10} = \frac{3}{10}$

Therefore, the percentage 30% is equivalent to the fraction $\frac{3}{10}$.

To convert 56% into a fraction, follow these steps:

• Step 1: Write the percentage as a fraction with 100 as the denominator. This means 56% becomes $\frac{56}{100}$.
• Step 2: Simplify the fraction $\frac{56}{100}$. To do this, find the greatest common divisor (GCD) of 56 and 100. The GCD of 56 and 100 is 4.
• Step 3: Divide both the numerator and the denominator by their GCD. So, $\frac{56 \div 4}{100 \div 4} = \frac{14}{25}$.

Now we have simplified the fraction to its simplest form.

Therefore, the percentage 56% is equal to $\frac{14}{25}$.

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

• Step 1: Convert the percentage to a fraction.
• Step 2: Simplify the fraction.
• Step 3: Compare the simplified fraction with the choices provided.

Now, let's work through each step:
Step 1: We convert 58% to a fraction by expressing it as $\frac{58}{100}$.
Step 2: Next, we simplify $\frac{58}{100}$. The greatest common divisor (GCD) of 58 and 100 is 2. Dividing both the numerator and the denominator by 2 gives us:

This is the simplest form.

Step 3: Compare $\frac{29}{50}$ with the choices provided. The correct choice is:

$\frac{29}{50}$