Examples with solutions for Converting Fractions to Percentages and Vice Versa: Convert fractions to percentages

Exercise #1

Convert the fraction into a percentage:

24100=? \frac{24}{100}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, we'll use the conversion method to obtain the percentage representation of the fraction:

  • Step 1: Identify the given fraction 24100 \frac{24}{100} .
  • Step 2: Convert the fraction to a percentage by multiplying it by 100: (24100)×100%\left(\frac{24}{100}\right) \times 100\% .
  • Step 3: Calculate the expression: 24100×100=24\frac{24}{100} \times 100 = 24.
  • Step 4: Append the percentage symbol to the result: 24%24\% .

Thus, the fraction 24100 \frac{24}{100} is equivalent to 24%.

Answer

24%

Exercise #2

Convert the fraction into a percentage:

2100=? \frac{2}{100}=\text{?}

Video Solution

Step-by-Step Solution

To convert the fraction 2100\frac{2}{100} into a percentage, follow these steps:

  • Step 1: Recognize that to convert a fraction to a percentage, you multiply the fraction by 100.
  • Step 2: Multiply the numerator of the fraction by 100:

2100×100=2 \frac{2}{100} \times 100 = 2

This tells us that 2100\frac{2}{100} is equivalent to 2%.

Therefore, the correct percentage is 2%.

Answer

2%

Exercise #3

Convert the fraction into a percentage:

56100=? \frac{56}{100}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, let's convert the given fraction 56100\frac{56}{100} into a percentage using the standard conversion method:

  • Step 1: Recognize that converting a fraction to a percentage involves multiplying the fraction by 100. This is because a percentage is a way of expressing a number as a part out of 100.
  • Step 2: Multiply the fraction by 100 as follows:

56100×100%=56% \frac{56}{100} \times 100\% = 56\%

Thus, when you convert 56100\frac{56}{100} into a percentage, you obtain 56%.

Comparing this with the provided answer options, 56% matches option 4.

Therefore, the correct answer is 56% 56\% .

Answer

56%

Exercise #4

Convert the fraction into a percentage:

0.2100=? \frac{0.2}{100}=\text{?}

Video Solution

Step-by-Step Solution

The task is to convert the fraction 0.2100\frac{0.2}{100} into a percentage.

To convert a fraction to a percentage, we follow this process:

  • Step 1: Identify the numerator and the denominator. Here, the numerator is 0.20.2 and the denominator is 100100.
  • Step 2: Use the formula for percentage conversion: Percentage=(NumeratorDenominator)×100 \text{Percentage} = \left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100 .
  • Step 3: Apply the values from the fraction: (0.2100)×100 \left(\frac{0.2}{100}\right) \times 100 .
  • Step 4: Calculate the result: 0.2×1=0.2 0.2 \times 1 = 0.2 .

The conversion of the given fraction to a percentage is 0.2%0.2\%. Therefore, the correct answer is \textbf{0.2\%}.

Answer

0.2%

Exercise #5

Convert the fraction to a percentage:

8.88100=? \frac{8.88}{100}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, we need to convert the fraction 8.88100\frac{8.88}{100} to a percentage.

  • Step 1: Identify the fraction, which is 8.88100\frac{8.88}{100}.
  • Step 2: Use the formula for converting a fraction to a percentage: Fraction×100=Percentage\text{Fraction} \times 100 = \text{Percentage}.
  • Step 3: Perform the calculation 8.88100×100\frac{8.88}{100} \times 100.

Now, let's perform the calculation:

8.88100×100=8.88\frac{8.88}{100} \times 100 = 8.88.

Therefore, the fraction 8.88100\frac{8.88}{100} converts to a percentage of 8.88%.

Thus, the solution to the problem is 8.88%8.88\%.

Answer

8.88%

Exercise #6

Convert the fraction to a percentage:

48.8100=? \frac{48.8}{100}=\text{?}

Video Solution

Step-by-Step Solution

To convert 48.8100 \frac{48.8}{100} into a percentage, we follow these steps:

  • Step 1: Identify the given fraction 48.8100 \frac{48.8}{100} .
  • Step 2: Multiply the fraction by 100: 48.8100×100=48.8 \frac{48.8}{100} \times 100 = 48.8

The result indicates that 48.8100 \frac{48.8}{100} is equal to 48.8% 48.8\% .

Thus, the correct choice is the one matching this calculation, which is 48.8% 48.8\% .

Answer

48.8%

Exercise #7

Convert the fraction into a percentage:

78.5100=? \frac{78.5}{100}=\text{?}

Video Solution

Step-by-Step Solution

To solve the problem of converting the fraction 78.5100 \frac{78.5}{100} into a percentage, observe the following:

  • The denominator of the given fraction is 100, which is standard for representing percentages.
  • Thus, the numerator of the fraction directly reflects the percentage value.

Therefore, the fraction 78.5100 \frac{78.5}{100} can be directly read as 78.5% 78.5\% .

This corresponds to choice 2 in the multiple-choice answers provided.

Thus, the correct solution is 78.5%.

Answer

78.5%

Exercise #8

Convert the fraction into a percentage:

42.3100=? \frac{42.3}{100}=\text{?}

Video Solution

Step-by-Step Solution

To convert a fraction to a percentage, follow these steps:

  • Identify the fraction given: 42.3100 \frac{42.3}{100} .
  • Multiply the fraction by 100 to convert it to a percentage.
  • 42.3100×100=42.3 \frac{42.3}{100} \times 100 = 42.3.

Therefore, 42.3100\frac{42.3}{100} as a percentage is 42.3%.

The correct multiple-choice answer is 42.3%42.3\%, corresponding to choice 2.

Answer

42.3%

Exercise #9

Convert the following fraction into a percentage:

99.9100=? \frac{99.9}{100}=\text{?}

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the given fraction, which is 99.9100\frac{99.9}{100}.

  • Step 2: Use the percentage conversion formula, which states that to convert a fraction to a percentage, we multiply by 100.

  • Step 3: Perform the calculation: 99.9100×100\frac{99.9}{100} \times 100.

Now, let's work through each step in detail:
Step 1: The fraction given is 99.9100\frac{99.9}{100}.
Step 2: To convert this fraction into a percentage, we utilize the formula: 99.9100×100%=99.9%\frac{99.9}{100} \times 100\% = 99.9\%.
Step 3: When we carry out the multiplication, it is clear that 99.9100×100=99.9%\frac{99.9}{100} \times 100 = 99.9\% .

Thus, the solution to the problem is 99.9% 99.9\% .

Answer

99.9%

Exercise #10

Convert the fraction into a percentage:

4.4100=? \frac{4.4}{100}=\text{?}

Video Solution

Step-by-Step Solution

To convert a fraction to a percentage, we use the formula:

ab×100% \frac{a}{b} \times 100\%

  1. Identify the fraction: 4.4100 \frac{4.4}{100}

  2. Apply the formula: 4.4×100%=4.4% 4.4​×100\%=4.4\%

The fraction4.4100 \frac{4.4}{100} is equivalent to 4.4%.

Therefore, the solution to the problem is 4.4%.

Answer

4.4%

Exercise #11

Convert the following fraction into a percentage:

1520=? \frac{15}{20}=\text{?}

Video Solution

Step-by-Step Solution

A percentage is actually a form of fraction, or more precisely, a fraction out of a hundred.

In other words, it is a fraction where the denominator is always 100.

Therefore, in order to convert a fraction into a percentage, we multiply it so that the denominator becomes 100.

20*5=100

15*5=75

Therefore the fraction is 75/100 and the percentage is 75%.

Answer

75%

Exercise #12

Convert the fraction into a percentage:

7.5710=? \frac{7.57}{10}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 7.5710\frac{7.57}{10} into a percentage by following these steps:

  • Step 1: Identify the fraction, which is 7.5710\frac{7.57}{10}.

  • Step 2: To convert this fraction to a percentage, we multiply by 100, according to the formula: Percentage=(NumeratorDenominator)×100%\text{Percentage} = \left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100\%.

Applying the formula, we have:

(7.5710)×100=7.57×10=75.7%\left(\frac{7.57}{10}\right) \times 100 = 7.57 \times 10 = 75.7\%.

The fraction 7.5710\frac{7.57}{10} is equivalent to 75.7% 75.7\% .

This corresponds to the choice that is labeled as 75.7%, confirming it as the correct answer.

Therefore, the solution to the problem is 75.7%75.7\%.

Answer

75.7%

Exercise #13

Convert the fraction into a percentage:

2.4810=? \frac{2.48}{10}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 2.4810\frac{2.48}{10} into a percentage by following these steps:

  • Step 1: Convert the fraction to a decimal.
    Perform the division: 2.4810=0.248\frac{2.48}{10} = 0.248.

  • Step 2: Convert the decimal to a percentage.
    Multiply the decimal by 100: 0.248×100=24.8%0.248 \times 100 = 24.8\%.

Therefore, 2.4810\frac{2.48}{10} expressed as a percentage is 24.8% 24.8\% .

The correct answer choice is 24.8% 24.8\% .

Answer

24.8%

Exercise #14

Convert the fraction into a percentage:

8.2410=? \frac{8.24}{10}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 8.2410\frac{8.24}{10} into a percentage by following these steps:

  • Step 1: Identify the fraction given in the problem: 8.2410\frac{8.24}{10}.
  • Step 2: To convert this fraction into a percentage, we need to multiply it by 100, since a percentage is simply a fraction over 100.

Now, let's perform the conversion:

Multiply 8.2410\frac{8.24}{10} by 100:

8.2410×100=8.24×10=82.4 \frac{8.24}{10} \times 100 = 8.24 \times 10 = 82.4

Thus, 8.2410\frac{8.24}{10} as a percentage is 82.4%82.4\%.

Therefore, the solution to the problem is 82.4%.

Answer

82.4%

Exercise #15

Convert the fraction into a percentage:

5.2810=? \frac{5.28}{10}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, let's follow a series of steps:

  • Step 1: Convert the fraction to a decimal.

  • Step 2: Convert the decimal to a percentage.

Now, let's work through each step:

Step 1: The fraction given is 5.2810 \frac{5.28}{10} .

To convert this fraction into a decimal, divide the numerator by the denominator:

5.2810=0.528 \frac{5.28}{10} = 0.528

Step 2: Convert the decimal 0.528 0.528 into a percentage.

To convert a decimal to a percentage, multiply by 100:

0.528×100=52.8 0.528 \times 100 = 52.8

Therefore, the fraction 5.2810 \frac{5.28}{10} as a percentage is 52.8%.

As given in the answer choices, the correct answer is 52.8%, which matches the calculation we have performed.

Answer

52.8%

Exercise #16

Convert the following fraction into a percentage:

210=? \frac{2}{10}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 210\frac{2}{10} to a percentage by multiplying it by 100.

  • Step 1: Identify the fraction, which is 210\frac{2}{10}.
  • Step 2: Multiply the fraction by 100 to convert it to a percentage:
    210×100=20\frac{2}{10} \times 100 = 20.
  • Step 3: The result of the multiplication is 20, so the percentage is 20%.

Thus, converting 210\frac{2}{10} to a percentage yields 20%.

Therefore, the solution to the problem is 20%, which corresponds to choice 3.

Answer

20%

Exercise #17

Convert the following fraction into a percentage:

5.210=? \frac{5.2}{10}=\text{?}

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the given fraction 5.210\frac{5.2}{10}.
  • Step 2: Apply the formula for converting a fraction to a percentage.
  • Step 3: Perform the necessary calculation to find the percentage.

Now, let's work through each step:

Step 1: The problem gives us the fraction 5.210\frac{5.2}{10}.

Step 2: We use the conversion formula:

Percentage=(5.210)×100% \text{Percentage} = \left(\frac{5.2}{10}\right) \times 100\%

Step 3: Plugging in our values, we multiply:

(5.210)×100=0.52×100=52 \left(\frac{5.2}{10}\right) \times 100 = 0.52 \times 100 = 52

Therefore, the fraction 5.210\frac{5.2}{10} is equivalent to 52%52\%.

This corresponds to choice 3, which is 52%.

Answer

52%

Exercise #18

Convert the fraction into a percentage:

7.3810=? \frac{7.38}{10}=\text{?}

Video Solution

Step-by-Step Solution

To convert the fraction 7.3810\frac{7.38}{10} to a percentage, we carry out the following steps:

  • Step 1: Identify the given fraction, which is 7.3810\frac{7.38}{10}.
  • Step 2: Use the formula for converting fractions to percentages: (NumeratorDenominator)×100%\left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100\%.
  • Step 3: Apply the values from the fraction to the formula: (7.3810)×100%\left(\frac{7.38}{10}\right) \times 100\%.
  • Step 4: Perform the calculation: (0.738)×100=73.8%\left(0.738\right) \times 100 = 73.8\%.

Therefore, the fraction 7.3810\frac{7.38}{10} is equivalent to 73.8%.

Answer

73.8%

Exercise #19

Convert the following fraction into a percentage:

7.510=? \frac{7.5}{10}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem of converting the fraction 7.510\frac{7.5}{10} to a percentage, we will follow these steps:

  • Step 1: Calculate 7.5×10010\frac{7.5 \times 100}{10}.
  • Step 2: Simplify the expression 75010\frac{750}{10}.
  • Step 3: Perform the division to find the percentage.

Let's perform each calculation step by step:

Step 1:
First, multiply the numerator of the fraction by 100: 7.5×100=7507.5 \times 100 = 750.

Step 2:
Now, divide the result by the denominator: 75010=75\frac{750}{10} = 75.

Step 3:
Therefore, 7.510\frac{7.5}{10} converted to a percentage is 75%.

The correct choice from the given options is 75%.

Answer

75%

Exercise #20

Convert the fraction into a percentage:

7.910=? \frac{7.9}{10}=\text{?}

Video Solution

Step-by-Step Solution

To solve this problem, we need to convert the fraction 7.910\frac{7.9}{10} into a percentage.
The approach involves multiplying the fraction by 100 to express it as a percentage.

  • Step 1: Evaluate the given fraction 7.910\frac{7.9}{10}.

First, perform the division in the fraction: 7.910=0.79 \frac{7.9}{10} = 0.79 .

  • Step 2: Convert the decimal to a percentage.

To convert the decimal to a percentage, multiply it by 100:
0.79×100=79 0.79 \times 100 = 79.

Therefore, 7.910\frac{7.9}{10} as a percentage is 79% 79\% .

Since the multiple-choice answer that matches this result is option 3, which is 79%, this is the correct choice.

Answer

79%