Converting Fractions to Percentages and Vice Versa: Converting from a fraction to a percentage by multiplying the fraction by 100

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

• Step 1: Simplify the fraction $\frac{2}{8}$ if necessary.

• Step 2: Convert the simplified fraction to a percentage by multiplying by 100.

Now, let's work through each step:
Step 1: Simplify the fraction $\frac{2}{8}$. The greatest common divisor of 2 and 8 is 2. So, we divide the numerator and the denominator by 2:
$\frac{2}{8} = \frac{2 \div 2}{8 \div 2} = \frac{1}{4}$
Step 2: To convert the fraction $\frac{1}{4}$ to a percentage, multiply it by 100:
$\frac{1}{4} \times 100 = 25$
Therefore, the fraction $\frac{2}{8}$ is equivalent to $25\%$.

The correct answer is $\boxed{25\%}$.

To convert the fraction $\frac{13}{10000}$ into a percentage, we follow these steps:

• Step 1: Identify the given fraction, which is $\frac{13}{10000}$.

• Step 2: The goal is to express this fraction as a percentage. According to the formula, we multiply the fraction by 100 to find its percentage equivalent.

• Step 3: Perform the multiplication: $\frac{13}{10000} \times 100 = \frac{13 \times 100}{10000} = \frac{1300}{10000}$

• Step 4: Simplify the result: $\frac{1300}{10000} = 0.13$ This gives us the percentage value.

Therefore, the fraction $\frac{13}{10000}$ is equivalent to $0.13\%$ in percentage form.

The correct choice from the given options is $0.13\%$.

To convert the fraction $\frac{167}{1000}$ to a percentage, we follow these steps:

• Step 1: Recall the conversion method from fraction to percentage.

• Step 2: Multiply $\frac{167}{1000}$ by 100 to perform the conversion.

Now let's perform the calculations:

First, we multiply the fraction by 100:
$\frac{167}{1000} \times 100 = \frac{167 \times 100}{1000}$

Simplify the expression by multiplying and then dividing:
$\frac{167 \times 100}{1000} = \frac{16700}{1000}$

Divide 16700 by 1000 to simplify:
$16700 \div 1000 = 16.7$

Thus, the percentage equivalent of $\frac{167}{1000}$ is $16.7\%$.

Therefore, the solution to the problem is $16.7\%$.

To convert the fraction $\frac{125}{1000}$ into a percentage, we'll follow these steps:

• Step 1: Identify the given fraction, which is $\frac{125}{1000}$.
• Step 2: Use the conversion formula to convert the fraction to a percentage by multiplying by 100.
• Step 3: Perform the calculation.

Let's go through the calculation:
Step 1: We have the fraction $\frac{125}{1000}$.
Step 2: To convert this to a percentage, we multiply by 100:
$\left(\frac{125}{1000}\right) \times 100 = \frac{125 \times 100}{1000}$
Step 3: Simplify the expression:
First, calculate $125 \times 100 = 12500$.
Then divide by 1000: $\frac{12500}{1000} = 12.5$.
Thus, $\frac{125}{1000}$ as a percentage is $12.5\%$.

Therefore, the fraction $\frac{125}{1000}$ is equivalent to 12.5%.

To convert the fraction $\frac{7}{25}$ into a percentage, follow these steps:

• Step 1: Multiply the numerator by 100 to convert from fraction to percentage terms. Therefore, calculate $7 \times 100 = 700$.
• Step 2: Divide the result by the denominator of the fraction. Thus, divide $700$ by $25$: $\frac{700}{25}$.
• Step 3: Perform the division to find the percentage: $\frac{700}{25} = 28$.

Thus, $\frac{7}{25}$ as a percentage is 28%.

Therefore, the correct answer is $28\%$.

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

• Step 1: Identify the given fraction $\frac{8}{50}$.
• Step 2: Convert this fraction into a percentage using the formula.
• Step 3: Calculate the percentage.

Now, let's work through each step:

Step 1: We have the fraction $\frac{8}{50}$.

Step 2: To convert it to a percentage, use the formula:

Step 3: Calculate the percentage:
First, simplify the fraction: $\frac{8}{50} = 0.16$.
Multiply by 100 to get the percentage: $0.16 \times 100 = 16$.

Therefore, the fraction $\frac{8}{50}$ is equivalent to 16% when converted to a percentage.

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

• Step 1: Divide the numerator by the denominator to convert the fraction to a decimal.

• Step 2: Multiply the resulting decimal by 100 to convert it to a percentage.

Now, let's work through each step:
Step 1: Convert the fraction to a decimal by dividing:
$\frac{68}{10000} = 0.0068$

Step 2: Convert the decimal to a percentage by multiplying by 100:
$0.0068 \times 100 = 0.68 \%$

Therefore, the solution to the problem is $0.68\%$.

To convert the fraction $\frac{3}{4}$ into a percentage, we follow these steps:

• Step 1: Identify the fraction given, which is $\frac{3}{4}$.

• Step 2: Use the conversion formula for fractions to percentages: $\frac{a}{b} \times 100\%$.

• Step 3: Multiply the fraction by 100: $\frac{3}{4} \times 100\% = \frac{300}{4}\%$.

• Step 4: Simplify the result: $\frac{300}{4} = 75\%$.

Therefore, after multiplying and simplifying, we find that the fraction $\frac{3}{4}$ is equivalent to $75\%$.

Reviewing the answer choices provided, the correct answer is:

• Choice 4: 75%

Consequently, the fraction $\frac{3}{4}$ expressed as a percentage is$75\%$.

To solve the problem of converting the fraction $\frac{9}{19}$ to a percentage, follow these steps:

• Step 1: Identify the fraction given, which is $\frac{9}{19}$.
• Step 2: Use the conversion formula $\text{Percentage} = \left(\frac{9}{19}\right) \times 100$.
• Step 3: Perform the calculation:

$\frac{9}{19} \approx 0.4737$ (rounded to four decimal places).

Step 4: Multiply by 100 to get the percentage:

$0.4737 \times 100 = 47.37 \%$

Therefore, the fraction $\frac{9}{19}$ as a percentage is approximately 47.37%.

Among the given choices, the closest correct answer is choice 2: 47.36% (rounded appropriately to two decimal places).

To solve this problem, we'll convert the fraction $\frac{8}{27}$ to a percentage using the following approach:

• Step 1: Recall that to convert a fraction to a percentage, we multiply it by 100.
• Step 2: Calculate the value of $\frac{8}{27} \times 100$.
• Step 3: Simplify the result to obtain the equivalent percentage.

Let's execute these steps:

Step 1: The given fraction is $\frac{8}{27}$.

Step 2: We multiply this fraction by 100 to convert it to a percentage:
$\frac{8}{27} \times 100 = \frac{8 \times 100}{27} = \frac{800}{27}$

Step 3: Divide 800 by 27 to get the decimal:
$\frac{800}{27} \approx 29.62962963$

Rounding the decimal to two decimal places, the percentage is approximately 29.63%.

However, looking at the given choices, 29.62% is the closest option and the most accurate considering typical rounding conventions.

Therefore, the fraction $\frac{8}{27}$ is approximately 29.62%.

To solve this problem, we'll convert the fraction $\frac{8}{35}$ into a percentage by multiplying it by 100.

• Step 1: Multiply the fraction by 100 to convert it to a percentage.
  This gives us:

$\frac{8}{35} \times 100\%$

We now perform the actual multiplication:

• Calculate $\frac{8 \times 100}{35}$.
• This equals $\frac{800}{35}$.
• Divide 800 by 35 to simplify the result:

$800 \div 35 \approx 22.8571$

We round this to two decimal places to get an approximate percentage:

• The result is approximately $22.85\%$.

Thus, the fraction $\frac{8}{35}$ as a percentage is 22.85%.

To solve this problem, we need to convert the fraction $\frac{7}{15}$ into a percentage. We will do this by multiplying the fraction by 100. The process is as follows:

• Step 1: Start with the fraction $\frac{7}{15}$.
• Step 2: Convert the fraction to a percentage by using the formula: $(\frac{7}{15}) \times 100$.

Now, let's perform the calculation:

$\frac{7}{15} \times 100 = \frac{700}{15}$

Next, divide 700 by 15 to get the percentage:

$700 \div 15 = 46.6667\ldots$

For a percentage, we typically round to two decimal places, so we round 46.6667 to 46.67%. Thus, the fraction $\frac{7}{15}$ expressed as a percentage is approximately 46.67%.

Therefore, the solution to the problem is 46.67%.