Converting Fractions to Percentages and Vice Versa: Convert fractions to percentages

Calculate the percentage of the whole numberConvert fractions with a denominator of 100 to percentagesConverting from a fraction to a percentage by multiplying the fraction by 100Converting from a percentage to a fraction with a denominator of 100Express one number as a percentage of another
Question 1

Convert the following fraction into a percentage:

\( \frac{15}{20}=\text{?} \)

Question 2

Convert the following fraction into a percentage:

\( \frac{3}{4} \)

Question 3

Convert the fraction into a percentage:

\( \frac{22}{25}=\text{?} \)

Question 4

Convert the fraction into a percentage:

\( \frac{24}{100}=\text{?} \)

Question 5

Convert the fraction into a percentage:

\( \frac{56}{100}=\text{?} \)

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

Exercise #1

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 #2

Convert the following fraction into a percentage:

34 \frac{3}{4}

Video Solution

Step-by-Step Solution

To convert a fraction to a percentage, we must convert the denominator to 100.

In this case, we know that 4*25 = 100

Therefore, we multiply both the numerator and the denominator by 25.

 

3*25 = 75

4*25 = 100

 

We are left with 75/100, which is actually 75%

And this is the solution!

Answer

75%

Exercise #3

Convert the fraction into a percentage:

2225=? \frac{22}{25}=\text{?}

Video Solution

Step-by-Step Solution

To convert a fraction to a percentage, the denominator must be converted to 100

25×4=100 25\times4=100

We also multiply the numerator by the same number, that is, 4:

22×425×4=88100 \frac{22\times4}{25\times4}=\frac{88}{100}

Now we use the formula

x100=x% \frac{x}{100}=x\%

88100=88% \frac{88}{100}=88\%

Answer

88%

Exercise #4

Convert the fraction into a percentage:

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

Video Solution

Answer

24%

Exercise #5

Convert the fraction into a percentage:

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

Video Solution

Answer

56%

Question 1

Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

Question 2

Convert the fraction into a percentage:

\( \frac{0.2}{100}=\text{?} \)

Question 3

Convert the fraction to a percentage:

\( \frac{8.88}{100}=\text{?} \)

Question 4

Convert the fraction to a percentage:

\( \frac{48.8}{100}=\text{?} \)

Question 5

Convert the fraction into a percentage:

\( \frac{42.3}{100}=\text{?} \)

Exercise #6

Convert the fraction into a percentage:

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

Video Solution

Answer

2%

Exercise #7

Convert the fraction into a percentage:

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

Video Solution

Answer

0.2%

Exercise #8

Convert the fraction to a percentage:

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

Video Solution

Answer

8.88%

Exercise #9

Convert the fraction to a percentage:

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

Video Solution

Answer

48.8%

Exercise #10

Convert the fraction into a percentage:

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

Video Solution

Answer

42.3%

Question 1

Convert the following fraction into a percentage:

\( \frac{99.9}{100}=\text{?} \)

Question 2

Convert the fraction into a percentage:

\( \frac{4.4}{100}=\text{?} \)

Question 3

Convert the fraction into a percentage:

\( \frac{78.5}{100}=\text{?} \)

Question 4

Convert the fraction into a percentage:

\( \frac{7.57}{10}=\text{?} \)

Question 5

Convert the fraction into a percentage:

\( \frac{2.48}{10}=\text{?} \)

Exercise #11

Convert the following fraction into a percentage:

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

Video Solution

Answer

99.9%

Exercise #12

Convert the fraction into a percentage:

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

Video Solution

Answer

4.4%

Exercise #13

Convert the fraction into a percentage:

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

Video Solution

Answer

78.5%

Exercise #14

Convert the fraction into a percentage:

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

Video Solution

Answer

75.7%

Exercise #15

Convert the fraction into a percentage:

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

Video Solution

Answer

24.8%

Question 1

Convert the fraction into a percentage:

\( \frac{8.24}{10}=\text{?} \)

Question 2

Convert the following fraction into a percentage:

\( \frac{2}{10}=\text{?} \)

Question 3

Convert the fraction into a percentage:

\( \frac{5.28}{10}=\text{?} \)

Question 4

Convert the following fraction into a percentage:

\( \frac{5.2}{10}=\text{?} \)

Question 5

Convert the fraction into a percentage:

\( \frac{7.38}{10}=\text{?} \)

Exercise #16

Convert the fraction into a percentage:

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

Video Solution

Answer

82.4%

Exercise #17

Convert the following fraction into a percentage:

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

Video Solution

Answer

20%

Exercise #18

Convert the fraction into a percentage:

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

Video Solution

Answer

52.8%

Exercise #19

Convert the following fraction into a percentage:

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

Video Solution

Answer

52%

Exercise #20

Convert the fraction into a percentage:

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

Video Solution

Answer

73.8%

More Questions

Converting Fractions to Percentages and Vice Versa