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

Calculate the percentage of the whole numberConvert fractions 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 fraction \( \frac{7}{100} \) into a percentage.

Question 2

Convert the fraction \( \frac{13.3}{100} \) into a percentage.

Question 3

Convert the fraction \( \frac{3.3}{10} \) into a percentage.

Question 4

Convert the fraction \( \frac{135}{100} \) For percentages we obtain:

Question 5

Convert the fraction \( \frac{157}{100} \) For percentages we obtain:

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

Exercise #1

Convert the fraction 7100 \frac{7}{100} into a percentage.

Video Solution

Step-by-Step Solution

The fraction:

x100 \frac{x}{100} is actually x percent.

Therefore we use the formula:

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

7100=7% \frac{7}{100}=7\%

Answer

7%

Exercise #2

Convert the fraction 13.3100 \frac{13.3}{100} into a percentage.

Video Solution

Step-by-Step Solution

We use the formula:

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

Therefore:

13.3100=13.3% \frac{13.3}{100}=13.3\%

Answer

13.3%

Exercise #3

Convert the fraction 3.310 \frac{3.3}{10} into a percentage.

Video Solution

Step-by-Step Solution

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

That is:

10×10=100 10\times10=100

Now we also multiply the numerator by 10:

3.3×1010×10=33100 \frac{3.3\times10}{10\times10}=\frac{33}{100}

Now we use the formula:

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

33100=33% \frac{33}{100}=33\%

Answer

33%

Exercise #4

Convert the fraction 135100 \frac{135}{100} For percentages we obtain:

Video Solution

Answer

135%

Exercise #5

Convert the fraction 157100 \frac{157}{100} For percentages we obtain:

Video Solution

Answer

157%

Question 1

Convert the fraction \( \frac{75}{100} \) For percentages we obtain:

Question 2

Convert the fraction \( \frac{200}{100} \) For percentages we obtain:

Question 3

Convert the fraction \( \frac{16.5}{100} \) For percentages we obtain:

Question 4

Convert the fraction \( \frac{202.2}{100} \) For percentages we obtain:

Question 5

Convert the fraction \( \frac{151.99}{100} \) For percentages we obtain:

Exercise #6

Convert the fraction 75100 \frac{75}{100} For percentages we obtain:

Video Solution

Answer

75%

Exercise #7

Convert the fraction 200100 \frac{200}{100} For percentages we obtain:

Video Solution

Answer

200%

Exercise #8

Convert the fraction 16.5100 \frac{16.5}{100} For percentages we obtain:

Video Solution

Answer

16.5%

Exercise #9

Convert the fraction 202.2100 \frac{202.2}{100} For percentages we obtain:

Video Solution

Answer

202.2%

Exercise #10

Convert the fraction 151.99100 \frac{151.99}{100} For percentages we obtain:

Video Solution

Answer

151.99%

Question 1

Convert the fraction \( \frac{71.8}{100} \) For percentages we obtain:

Question 2

Convert the fraction \( \frac{65.6}{100} \) For percentages we obtain:

Question 3

Convert the fraction \( \frac{718.5}{100} \) For percentages we obtain:

Question 4

Convert the fraction \( \frac{88.88}{10} \) For percentages we obtain:

Question 5

Convert the fraction \( \frac{7.8}{10} \) For percentages we obtain:

Exercise #11

Convert the fraction 71.8100 \frac{71.8}{100} For percentages we obtain:

Video Solution

Answer

71.8%

Exercise #12

Convert the fraction 65.6100 \frac{65.6}{100} For percentages we obtain:

Video Solution

Answer

65.6%

Exercise #13

Convert the fraction 718.5100 \frac{718.5}{100} For percentages we obtain:

Video Solution

Answer

718.5%

Exercise #14

Convert the fraction 88.8810 \frac{88.88}{10} For percentages we obtain:

Video Solution

Answer

888.8%

Exercise #15

Convert the fraction 7.810 \frac{7.8}{10} For percentages we obtain:

Video Solution

Answer

78%

Question 1

Convert the fraction \( \frac{38}{10} \) For percentages we obtain:

Question 2

Convert the fraction \( \frac{4.5}{10} \) For percentages we obtain:

Question 3

Convert the fraction \( \frac{57}{10} \) For percentages we obtain:

Question 4

Convert the fraction \( \frac{35}{10} \) For percentages we obtain:

Question 5

Convert the fraction \( \frac{5}{10} \) For percentages we obtain:

Exercise #16

Convert the fraction 3810 \frac{38}{10} For percentages we obtain:

Video Solution

Answer

380%

Exercise #17

Convert the fraction 4.510 \frac{4.5}{10} For percentages we obtain:

Video Solution

Answer

45%

Exercise #18

Convert the fraction 5710 \frac{57}{10} For percentages we obtain:

Video Solution

Answer

570%

Exercise #19

Convert the fraction 3510 \frac{35}{10} For percentages we obtain:

Video Solution

Answer

350%

Exercise #20

Convert the fraction 510 \frac{5}{10} For percentages we obtain:

Video Solution

Answer

50%