Correct Answer:
A. 3/2
Simplifying fractions involves reducing them to their lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD). This makes the fraction easier to understand and work with.
- To simplify 39/26, we need to find the greatest common divisor of 39 and 26. Both numbers are divisible by 13.
- 39 ÷ 13 = 3
- 26 ÷ 13 = 2
Therefore, the simplified value is 3/2.
- 2/3 is incorrect; it is the reciprocal of the correct answer.
- 1/2 is incorrect; it results from dividing by 26 and 13 respectively, which is not the correct simplification.
- 13/12 is incorrect; it does not represent the simplified form of 39/26.