Converting Fractions to Percentages Practice Problems

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, 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 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%