What is the result of simplifying 27/36?

What is the result of simplifying 27/36?

• A. 2/3
• B. 3/4
• C. 1/2
• D. 4/5

Answer: (A)

To simplify the fraction 27/36, you need to find the greatest common divisor (GCD) of the numerator (27) and the denominator (36). The GCD is the largest number that divides both numbers evenly. For 27, the factors are 1, 3, 9, and 27. For 36, the factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The largest common factor is 9. Now, divide both the numerator and the denominator by their GCD: - Numerator: 27 ÷ 9 = 3 - Denominator: 36 ÷ 9 = 4 Thus, when simplified, 27/36 becomes 3/4. However, it appears the answer provided was 2/3, which is not correct based on the simplification process. The accurate simplified form is 3/4, which is represented in the choices. Understanding how to simplify fractions through finding the GCD is a fundamental skill in math, allowing you to reduce fractions to their simplest form effectively.

To simplify the fraction 27/36, you need to find the greatest common divisor (GCD) of the numerator (27) and the denominator (36). The GCD is the largest number that divides both numbers evenly.

For 27, the factors are 1, 3, 9, and 27. For 36, the factors are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The largest common factor is 9.

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

• Numerator: 27 ÷ 9 = 3

• Denominator: 36 ÷ 9 = 4

Thus, when simplified, 27/36 becomes 3/4. However, it appears the answer provided was 2/3, which is not correct based on the simplification process. The accurate simplified form is 3/4, which is represented in the choices.

Understanding how to simplify fractions through finding the GCD is a fundamental skill in math, allowing you to reduce fractions to their simplest form effectively.