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Answer :
Sure, let's convert the fraction [tex]\(\frac{13}{15}\)[/tex] to both a decimal and a percent through a step-by-step process!
### Step 1: Converting the Fraction to a Decimal
To convert the fraction [tex]\(\frac{13}{15}\)[/tex] to a decimal, we perform the division [tex]\(13 \div 15\)[/tex].
[tex]\[
\frac{13}{15} \approx 0.8666666666666667
\][/tex]
So, [tex]\(\frac{13}{15}\)[/tex] as a decimal is approximately [tex]\(0.8667\)[/tex] (rounded to four decimal places).
### Step 2: Converting the Decimal to a Percent
To convert a decimal to a percent, we multiply the decimal by 100.
[tex]\[
0.8667 \times 100 = 86.667
\][/tex]
So, [tex]\(0.8667\)[/tex] as a percent is approximately [tex]\(86.67\%\)[/tex] (rounded to two decimal places).
### Final Answer
Therefore:
- [tex]\(\frac{13}{15}\)[/tex] as a decimal is approximately [tex]\(0.8667\)[/tex]
- [tex]\(\frac{13}{15}\)[/tex] as a percent is approximately [tex]\(86.67\%\)[/tex]
I hope this helps! Let me know if you have any questions.
### Step 1: Converting the Fraction to a Decimal
To convert the fraction [tex]\(\frac{13}{15}\)[/tex] to a decimal, we perform the division [tex]\(13 \div 15\)[/tex].
[tex]\[
\frac{13}{15} \approx 0.8666666666666667
\][/tex]
So, [tex]\(\frac{13}{15}\)[/tex] as a decimal is approximately [tex]\(0.8667\)[/tex] (rounded to four decimal places).
### Step 2: Converting the Decimal to a Percent
To convert a decimal to a percent, we multiply the decimal by 100.
[tex]\[
0.8667 \times 100 = 86.667
\][/tex]
So, [tex]\(0.8667\)[/tex] as a percent is approximately [tex]\(86.67\%\)[/tex] (rounded to two decimal places).
### Final Answer
Therefore:
- [tex]\(\frac{13}{15}\)[/tex] as a decimal is approximately [tex]\(0.8667\)[/tex]
- [tex]\(\frac{13}{15}\)[/tex] as a percent is approximately [tex]\(86.67\%\)[/tex]
I hope this helps! Let me know if you have any questions.
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