To determine the percentage equivalent to the fraction [tex]\(\frac{36}{48}\)[/tex]:
1. Simplify the Fraction: First, simplify the fraction [tex]\(\frac{36}{48}\)[/tex]. We can do this by finding the greatest common divisor (GCD) of 36 and 48. Here, the GCD is 12.
[tex]\[
\frac{36 \div 12}{48 \div 12} = \frac{3}{4}
\][/tex]
2. Convert the Fraction to a Decimal: Next, convert the simplified fraction [tex]\(\frac{3}{4}\)[/tex] to a decimal by dividing the numerator by the denominator.
[tex]\[
\frac{3}{4} = 0.75
\][/tex]
3. Convert the Decimal to a Percentage: To convert a decimal to a percentage, multiply by 100.
[tex]\[
0.75 \times 100 = 75.0\%
\][/tex]
So, the percentage equivalent to [tex]\(\frac{36}{48}\)[/tex] is [tex]\(75\%\)[/tex]. Thus, the correct answer is:
[tex]\[ 75\% \][/tex]
