Answer :

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]