To convert a fraction into a percentage, you follow these steps:
1. Divide the numerator by the denominator to get a decimal.
2. Multiply the result by 100 to convert the decimal into a percentage.
Let's go through each fraction step-by-step:
### (a) [tex]\(\frac{5}{2}\)[/tex]
1. Divide the numerator by the denominator:
[tex]\[
\frac{5}{2} = 2.5
\][/tex]
2. Convert the decimal to a percentage by multiplying by 100:
[tex]\[
2.5 \times 100 = 250.0\%
\][/tex]
Thus, [tex]\(\frac{5}{2} = 250.0\%\)[/tex].
### (b) [tex]\(\frac{7}{9}\)[/tex]
1. Divide the numerator by the denominator:
[tex]\[
\frac{7}{9} \approx 0.7777777777777778
\][/tex]
2. Convert the decimal to a percentage by multiplying by 100:
[tex]\[
0.7777777777777778 \times 100 \approx 77.77777777777779\%
\][/tex]
Thus, [tex]\(\frac{7}{9} \approx 77.77777777777779\%\)[/tex].
### (c) [tex]\(\frac{13}{12}\)[/tex]
1. Divide the numerator by the denominator:
[tex]\[
\frac{13}{12} \approx 1.0833333333333333
\][/tex]
2. Convert the decimal to a percentage by multiplying by 100:
[tex]\[
1.0833333333333333 \times 100 \approx 108.33333333333333\%
\][/tex]
Thus, [tex]\(\frac{13}{12} \approx 108.33333333333333\%\)[/tex].
### (d) [tex]\(\frac{15}{100}\)[/tex]
1. Divide the numerator by the denominator:
[tex]\[
\frac{15}{100} = 0.15
\][/tex]
2. Convert the decimal to a percentage by multiplying by 100:
[tex]\[
0.15 \times 100 = 15.0\%
\][/tex]
Thus, [tex]\(\frac{15}{100} = 15.0\%\)[/tex].
So, the percentages for each fraction are:
(a) 250.0%
(b) 77.77777777777779%
(c) 108.33333333333333%
(d) 15.0%
