Converting Fractions to Percentages and Vice Versa: Converting from a percentage to a fraction with a denominator of 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 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 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'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 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 $\frac{66}{100}$.

We use the formula:

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

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

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 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.

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 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 $\frac{3}{4}$.

We are given the percentage 64% and need to express it as a fraction.

First, recall that a percentage is simply a fraction with a denominator of 100. Therefore, we can write 64% as:

Next, we need to simplify the fraction $\frac{64}{100}$ to its lowest terms. To do this, we find the greatest common divisor (GCD) of 64 and 100. The GCD of 64 and 100 is 4.

Divide both the numerator and the denominator by their GCD:

Thus, 64% can be expressed as the fraction $\frac{16}{25}$.

Comparing this result to the multiple-choice options given, we see that the correct answer is:

$\frac{16}{25}$

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 $\frac{32}{25}$.

The solution involves converting 90% to a fraction:

• Step 1: Write 90% as a fraction over 100: $\frac{90}{100}$.
• Step 2: Simplify the fraction $\frac{90}{100}$:
  • Find the greatest common divisor (GCD) of 90 and 100. The GCD is 10.
  • Divide both the numerator and the denominator by the GCD (10):
  • Numerator: $\frac{90}{10} = 9$
  • Denominator: $\frac{100}{10} = 10$
  • The simplified fraction is $\frac{9}{10}$.

Therefore, the percentage 90% is equal to the fraction $\frac{9}{10}$.

To solve this problem, we need to convert 65% into a fraction and simplify it. Let's walk through this process:

• Step 1: Convert the percentage to a fraction

Percentages can be easily converted to fractions by writing them over 100. For 65%, we write:

• Step 2: Simplify the fraction

To simplify $\frac{65}{100}$, we find the greatest common divisor (GCD) of 65 and 100. The GCD is 5. Therefore, divide both the numerator and the denominator by 5:

Thus, 65% as a simplified fraction is $\frac{13}{20}$.

Upon reviewing the multiple-choice options, we see that choice 3: $\frac{13}{20}$ matches our simplified result.

Therefore, the percentage 65% is equal to $\frac{13}{20}$.

To solve this problem effectively, follow these steps:

• Step 1: Convert the percentage to a fraction.
  To express 84% as a fraction, write it as $\frac{84}{100}$ since percent means per hundred.
• Step 2: Simplify the fraction.
  We need to simplify $\frac{84}{100}$ by finding the greatest common divisor (GCD) of 84 and 100. The GCD of 84 and 100 is 4.
• Step 3: Divide both numerator and denominator by their GCD.
  Divide 84 by 4 to get 21, and divide 100 by 4 to get 25.
  Thus, $\frac{84}{100} = \frac{21}{25}$.
• Step 4: Identify the correct choice.
  Among the provided options, $\frac{21}{25}$ corresponds to choice 2.

Thus, the percentage 84% is equal to $\frac{21}{25}$.