How would you simplify the fraction 12/16?

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Prepare for the ASVAB Arithmetic Reasoning Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

How would you simplify the fraction 12/16?

Explanation:
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. Now, divide both the numerator and the denominator by their GCD: - For the numerator: 12 ÷ 4 = 3 - For the denominator: 16 ÷ 4 = 4 Therefore, when you simplify 12/16, you get 3/4. This shows that 3/4 is in its simplest form as both 3 and 4 do not share any common factors other than 1. In summary, simplifying fractions involves dividing both parts of the fraction by their GCD to ensure that the fraction is presented in its simplest form. Thus, simplifying 12/16 results in 3/4, confirming the correct choice.

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.

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

  • For the numerator: 12 ÷ 4 = 3

  • For the denominator: 16 ÷ 4 = 4

Therefore, when you simplify 12/16, you get 3/4. This shows that 3/4 is in its simplest form as both 3 and 4 do not share any common factors other than 1.

In summary, simplifying fractions involves dividing both parts of the fraction by their GCD to ensure that the fraction is presented in its simplest form. Thus, simplifying 12/16 results in 3/4, confirming the correct choice.

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