To reduce the fraction [tex]\( \frac{36}{48} \)[/tex] to its lowest terms, follow these steps:
1. Find the Greatest Common Divisor (GCD): Identify the largest number that divides both 36 and 48 without leaving a remainder. The GCD of 36 and 48 is 12.
2. Divide the Numerator and Denominator by the GCD:
- Numerator: [tex]\( \frac{36}{12} = 3 \)[/tex]
- Denominator: [tex]\( \frac{48}{12} = 4 \)[/tex]
3. Construct the Reduced Fraction: After dividing both the numerator and the denominator by their GCD, the fraction becomes [tex]\( \frac{3}{4} \)[/tex].
Therefore, the reduced fraction is [tex]\(\frac{3}{4}\)[/tex].
The best answer is:
B. [tex]\( \frac{3}{4} \)[/tex]