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Answer :
To convert the fraction [tex]\(\frac{13}{15}\)[/tex] into a decimal and a percentage, follow these steps:
1. Convert the fraction to a decimal:
Divide the numerator by the denominator. So, divide [tex]\(13\)[/tex] by [tex]\(15\)[/tex].
[tex]\[
13 \div 15 = 0.8666666666666667
\][/tex]
This means that [tex]\(\frac{13}{15}\)[/tex] is approximately [tex]\(0.8667\)[/tex] when rounded to four decimal places.
2. Convert the decimal to a percentage:
To find the percentage, multiply the decimal result by [tex]\(100\)[/tex].
[tex]\[
0.8666666666666667 \times 100 = 86.66666666666667
\][/tex]
This means that [tex]\(\frac{13}{15}\)[/tex] is equivalent to approximately [tex]\(86.67\%\)[/tex] when rounded to two decimal places.
So, the fraction [tex]\(\frac{13}{15}\)[/tex] is equal to approximately [tex]\(0.8667\)[/tex] in decimal form and [tex]\(86.67\%\)[/tex] in percentage form.
1. Convert the fraction to a decimal:
Divide the numerator by the denominator. So, divide [tex]\(13\)[/tex] by [tex]\(15\)[/tex].
[tex]\[
13 \div 15 = 0.8666666666666667
\][/tex]
This means that [tex]\(\frac{13}{15}\)[/tex] is approximately [tex]\(0.8667\)[/tex] when rounded to four decimal places.
2. Convert the decimal to a percentage:
To find the percentage, multiply the decimal result by [tex]\(100\)[/tex].
[tex]\[
0.8666666666666667 \times 100 = 86.66666666666667
\][/tex]
This means that [tex]\(\frac{13}{15}\)[/tex] is equivalent to approximately [tex]\(86.67\%\)[/tex] when rounded to two decimal places.
So, the fraction [tex]\(\frac{13}{15}\)[/tex] is equal to approximately [tex]\(0.8667\)[/tex] in decimal form and [tex]\(86.67\%\)[/tex] in percentage form.
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