What is the simplified form of the fraction 12/16?

• A. 1/2
• B. 3/4
• C. 2/3
• D. 4/5

Answer: (B)

To simplify the fraction 12/16, you need to find the greatest common divisor (GCD) of the numerator (12) and the denominator (16). The GCD of 12 and 16 is 4.

Next, divide both the numerator and the denominator by their GCD:

• For the numerator: 12 ÷ 4 = 3

• For the denominator: 16 ÷ 4 = 4

This gives you the simplified fraction 3/4.

It's essential to note that when simplifying fractions, the goal is to reduce the fraction to its lowest terms, which means that the new numerator and denominator cannot be divided by any number other than 1. In this case, 3 and 4 share no common factors other than 1, making 3/4 the simplest form of 12/16.

This is why the correct answer is 3/4, as it accurately represents the fraction in its simplest terms.