Converting Fractions to Percentages and Vice Versa: Convert fractions with a denominator of 100 to percentages

The fraction:

$\frac{x}{100}$is actually x percent.

Therefore we use the formula:

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

$\frac{7}{100}=7\%$

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

• Step 1: Identify the given information: the fraction is $\frac{157}{100}$.
• Step 2: Apply the conversion formula by multiplying the fraction by 100.
• Step 3: Perform the calculation and check the correct multiple-choice answer.

Now, let's work through each step:
Step 1: The problem provides us with the fraction $\frac{157}{100}$.
Step 2: We'll use the formula $\text{Percentage} = \left( \frac{\text{Numerator}}{\text{Denominator}} \right) \times 100$. Plugging in our values, we get:

Therefore, the percentage equivalent of the fraction $\frac{157}{100}$ is $157\%$.

The correct answer from the given choices is: Choice 4: 157%

To solve this problem, follow these steps:

• Step 1: Identify that the fraction given is $\frac{75}{100}$.
• Step 2: Recognize that a fraction with a denominator of 100 directly gives the percentage represented by its numerator.

Now, let's work through each step:
Step 1: We see that the fraction is $\frac{75}{100}$, where 100 is the denominator, which is the standard for percentages.
Step 2: Since percentages are essentially fractions out of 100, the numerator directly translates into the percentage.

Thus, the percentage represented by $\frac{75}{100}$ is 75%.

Therefore, the solution to the problem is 75%.

To solve this problem, we should first recognize the nature of the fraction $\frac{135}{100}$. Since the denominator is 100, the fraction directly represents the percentage equivalent of the numerator.

Step-by-step:

• Step 1: Understand that any fraction $\frac{a}{100}$ can be interpreted as $a\%$ in percentage form.
• Step 2: In this instance, $\frac{135}{100}$ directly translates to 135% because the denominator is 100.

Therefore, the fraction $\frac{135}{100}$ is equivalent to 135%.

The correct choice from the options provided is choice 3: 135%.

Therefore, the solution to the problem is 135%.

To solve this problem, let's convert the fraction $\frac{200}{100}$ to a percentage.

We can perform this conversion using the following steps:

• Step 1: Recall that to convert a fraction to a percentage, you multiply it by 100. Therefore, the formula to use is:

• $\frac{\text{numerator}}{\text{denominator}} \times 100\%$

Let's apply this formula to our fraction:

$\frac{200}{100} \times 100\%$

Step 2: Simplify the fraction. In this case, $\frac{200}{100}$ simplifies to $2$.

Step 3: Multiply the simplified result by 100:

$2 \times 100\% = 200\%$

Therefore, the fraction $\frac{200}{100}$ is equivalent to 200%.

The correct answer is choice 2: $200\%$.

To solve the problem of converting the fraction $\frac{718.5}{100}$ into a percentage, we proceed with the following steps:

• Recognize that in a fraction $\frac{a}{100}$, the value can be directly interpreted as $a\%$. This is due to the fraction's denominator being 100, which is the base for percentage calculations.
• Therefore, $\frac{718.5}{100}$ is directly equal to 718.5%.

Conclusively, converting the fraction yields 718.5%.

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

• Step 1: Identify the fraction given as $\frac{71.8}{100}$.
• Step 2: Recognize that the denominator is 100, so the fraction $\frac{71.8}{100}$ represents 71.8%.
• Step 3: Conclude by expressing it directly as a percentage.

Now, let's work through each step:
Step 1: The fraction given is $\frac{71.8}{100}$.
Step 2: Since the denominator is 100, we can interpret the numerator directly as the percentage. Thus, $71.8$ out of 100 corresponds to 71.8%.
Step 3: Therefore, the solution to the problem is that $\frac{71.8}{100}$ as a percentage is 71.8%.

Therefore, the correct choice is choice 3: 71.8%.

We use the formula:

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

Therefore:

$\frac{13.3}{100}=13.3\%$

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

• Step 1: Identify the fraction to be converted.
• Step 2: Recognize the denominator of the fraction is 100.
• Step 3: Express the numerator as a percentage directly.

Now, let's work through each step:

Step 1: We are given the fraction $\frac{202.2}{100}$.

Step 2: Notice that the denominator of the fraction is 100. Fractions with a denominator of 100 are straightforward to convert to percentages. The numerator of the fraction indicates the percentage directly.

Step 3: The numerator is $202.2$. Therefore, the fraction $\frac{202.2}{100}$ is equivalent to $202.2\%$.

Therefore, the solution to the problem is $202.2\%$.

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

• Step 1: Identify the given fraction is $\frac{65.6}{100}$.
• Step 2: Recognize that since the denominator is 100, the numerator directly represents the percentage value.
• Step 3: Conclude that $\frac{65.6}{100}$ is equivalent to 65.6%.

Now, let's work through each step:
Step 1: The problem provides the fraction $\frac{65.6}{100}$.
Step 2: Since fractions with a denominator of 100 translate directly to percentages, the numerator reveals the percentage form.
Step 3: Hence, $\frac{65.6}{100}$ equals $65.6\%$.

Therefore, the solution to the problem is 65.6%.

To solve this problem, we will convert the given fraction $\frac{16.5}{100}$ into a percentage.

Step-by-step solution:

• Step 1: Identify the problem: We have a fraction $\frac{16.5}{100}$ which we need to express as a percentage.

• Step 2: Recognize that a fraction with a denominator of 100 directly represents its percentage form. Therefore, $\frac{16.5}{100} = 16.5\%$.

After conversion, we confirm that the percentage is $16.5\%$.

To solve this problem, we'll proceed with the following steps:

• Identify the given fraction expressed as $\frac{151.99}{100}$.
• Since the denominator is 100, directly interpret the numerator as the percentage.
• Simply attach the percentage symbol to the numerator to express as a percentage.

Now, let's execute these steps:

The fraction given is $\frac{151.99}{100}$. In percentage terms, when the denominator is 100, we can state the percentage directly as the numerator.
As a result, the conversion gives us $151.99\%$.

Therefore, the solution to the problem is 151.99%.

To solve this problem, we need to convert the fraction $\frac{35}{10}$ into a percentage.

Step 1: Start with the fraction $\frac{35}{10}$. We can simplify $\frac{35}{10}$ to $\frac{7}{2}$, but simplifying is not necessary for percentage conversion.

Step 2: Apply the formula to convert the fraction to a percentage: Multiply the fraction by 100:

$\left(\frac{35}{10}\right) \times 100\% = 350\%$

This calculation gives us the percentage equivalent of the fraction.

Therefore, the fraction $\frac{35}{10}$ converts to $\textbf{350\%}$.

In the given choices, the correct answer is:

350%

To solve this problem, we will convert the fraction $\frac{4.5}{10}$ into a percentage.

The method involves two main steps:

• Step 1: Multiply the fraction by 100 to convert it to a percentage.
• Step 2: Express the result as a percentage.

Now, let's work through each step:

Step 1: The given fraction is $\frac{4.5}{10}$. We use the formula for percentage conversion: $\text{Percentage} = \frac{4.5}{10} \times 100\%$.

Step 2: Calculating, $\frac{4.5}{10} \times 100 = 45$.

Therefore, the percentage equivalent of $\frac{4.5}{10}$ is 45%.

Based on the given multiple-choice options, the correct answer is: 45%.

To convert the fraction $\frac{38}{10}$ into a percentage, follow these steps:

• Step 1: Divide the numerator by the denominator to convert to a decimal.
  - Calculate: $38 \div 10 = 3.8$.

• Step 2: Multiply the decimal by 100 to convert to a percentage.
  - Calculate: $3.8 \times 100 = 380$.

The fraction $\frac{38}{10}$ as a percentage is therefore $380\%$.

The correct answer is 380%, which corresponds to Choice $2$.

To convert the fraction $\frac{7.8}{10}$ into a percentage, we follow these simple steps:

• Step 1: Understand that converting a fraction to a percentage involves multiplying by 100.

• Step 2: Express the fraction given as a decimal by performing the division $\frac{7.8}{10} = 0.78$.

• Step 3: Multiply the decimal by 100 to convert it to a percentage: $0.78 \times 100 = 78$. This gives us $78\%$.

Therefore, converting the fraction $\frac{7.8}{10}$ to a percentage, we get $78\%$.

To solve the problem of converting the fraction $\frac{5}{10}$ to a percentage, follow these steps:

• Step 1: Start with the fraction $\frac{5}{10}$.
• Step 2: Multiply the fraction by 100 to convert it to a percentage:

$\frac{5}{10} \times 100 = 50$.

• Step 3: The result is already simplified and represents the fraction in percentage form.

Therefore, the fraction $\frac{5}{10}$ is equivalent to 50%.

Comparing with the given choices, the correct answer is option 1, which is 50%.

When we have a fraction whose denominator is not 100, we will have to convert it to 100

That is:

$10\times10=100$

Now we also multiply the numerator by 10:

$\frac{3.3\times10}{10\times10}=\frac{33}{100}$

Now we use the formula:

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

$\frac{33}{100}=33\%$

To convert the fraction $\frac{55.1}{10}$ to a percentage, follow these steps:

• Step 1: Convert the fraction to a decimal by performing the division: $\frac{55.1}{10} = 5.51$.

• Step 2: Multiply the decimal by 100 to convert it to a percentage: $5.51 \times 100 = 551\%$.

Therefore, the fraction $\frac{55.1}{10}$ converted to a percentage is 551%.

To solve this problem, let's convert the given fraction into a percentage:

• Step 1: Identify the given fraction, which is $\frac{7.88}{10}$.
• Step 2: Convert it to a percentage by multiplying by 100.

Let's proceed with the calculation:
First, we calculate the decimal value of the fraction:
$\frac{7.88}{10} = 0.788$.

Next, convert this decimal to a percentage:
$0.788 \times 100 = 78.8$.

So, the fraction $\frac{7.88}{10}$ expressed as a percentage is 78.8%.

This corresponds to choice 3 in the options provided: 78.8%.