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Express the following percentages as fractions in the simplest form.

a. [tex]5 \%[/tex]

b. [tex]10 \%[/tex]

c. [tex]50 \%[/tex]

d. [tex]33 \frac{1}{3} \%[/tex]

e. [tex]66 \frac{2}{3} \%[/tex]

f. [tex]12 \frac{1}{2} \%[/tex]

Answer :

Sure! Let's express each of the given percentages as fractions in their simplest forms:

a. 5% as a fraction:

1. Start by writing 5% as a fraction:
[tex]\[
5\% = \frac{5}{100}
\][/tex]

2. Simplify [tex]\(\frac{5}{100}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 5:
[tex]\[
\frac{5}{100} = \frac{5 \div 5}{100 \div 5} = \frac{1}{20}
\][/tex]

b. 10% as a fraction:

1. Write 10% as a fraction:
[tex]\[
10\% = \frac{10}{100}
\][/tex]

2. Simplify [tex]\(\frac{10}{100}\)[/tex] by dividing both by 10:
[tex]\[
\frac{10}{100} = \frac{10 \div 10}{100 \div 10} = \frac{1}{10}
\][/tex]

c. 50% as a fraction:

1. Write 50% as a fraction:
[tex]\[
50\% = \frac{50}{100}
\][/tex]

2. Simplify [tex]\(\frac{50}{100}\)[/tex] by dividing both by 50:
[tex]\[
\frac{50}{100} = \frac{50 \div 50}{100 \div 50} = \frac{1}{2}
\][/tex]

d. 33 [tex]\(\frac{1}{3}\)[/tex]% as a fraction:

1. Convert 33 [tex]\(\frac{1}{3}\)[/tex]% to an improper fraction:
[tex]\[
33 \frac{1}{3} = \frac{100}{3}
\][/tex]

2. Write [tex]\(\frac{100}{3}\)[/tex]% as a fraction:
[tex]\[
\frac{100}{3}\% = \frac{100}{3 \times 100} = \frac{1}{3}
\][/tex]

e. 66 [tex]\(\frac{2}{3}\)[/tex]% as a fraction:

1. Convert 66 [tex]\(\frac{2}{3}\)[/tex]% to an improper fraction:
[tex]\[
66 \frac{2}{3} = \frac{200}{3}
\][/tex]

2. Write [tex]\(\frac{200}{3}\)[/tex]% as a fraction:
[tex]\[
\frac{200}{3}\% = \frac{200}{3 \times 100} = \frac{2}{3}
\][/tex]

f. 12 [tex]\(\frac{1}{2}\)[/tex]% as a fraction:

1. Convert 12 [tex]\(\frac{1}{2}\)[/tex]% to an improper fraction:
[tex]\[
12 \frac{1}{2} = \frac{25}{2}
\][/tex]

2. Write [tex]\(\frac{25}{2}\)[/tex]% as a fraction:
[tex]\[
\frac{25}{2}\% = \frac{25}{2 \times 100} = \frac{1}{8}
\][/tex]

So, the fractions in simplest form are:
- a. [tex]\(\frac{1}{20}\)[/tex]
- b. [tex]\(\frac{1}{10}\)[/tex]
- c. [tex]\(\frac{1}{2}\)[/tex]
- d. [tex]\(\frac{1}{3}\)[/tex]
- e. [tex]\(\frac{2}{3}\)[/tex]
- f. [tex]\(\frac{1}{8}\)[/tex]

Thanks for taking the time to read Express the following percentages as fractions in the simplest form a tex 5 tex b tex 10 tex c tex 50 tex d tex 33. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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