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]
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]
