Final answer:
To reduce the fraction 24/36 to its lowest terms, find the greatest common divisor of the numerator and denominator, which is 12, and divide both by this number. The reduced fraction is 2/3, which corresponds to option B.
Step-by-step explanation:
The student is asking to reduce the fraction 24/36 and provide the fractional representation in its lowest terms. To reduce a fraction to its lowest terms, you need to find the greatest common divisor (GCD) of both the numerator (24) and the denominator (36) and then divide both by that number. The GCD of 24 and 36 is 12. Therefore, we divide both the numerator and the denominator by 12.
24 ÷ 12 = 2
36 ÷ 12 = 3
As a result, the fraction 24/36 reduces to 2/3. Looking at the options provided by the student, the correct answer is option B) 2/3.