Question 38

The simplest possible ratio of 8/14 is 4:7.

To simplify the fraction 8/14, both the numerator and denominator can be divided by their greatest common divisor, which is 2. This results in the ratio 4:7.

A) 2:4

This option reduces the fraction incorrectly. The ratio 2:4 is equivalent to 1:2, which does not represent the original fraction of 8/14 when simplified. Thus, this option is incorrect.

B) 4:7

This is the correct simplification of the fraction 8/14. By dividing both the numerator (8) and the denominator (14) by their greatest common divisor (2), we arrive at the ratio 4:7, which accurately represents the original fraction in its simplest form.

C) 4:6

This option also incorrectly simplifies the fraction. The ratio 4:6 can be reduced to 2:3, which does not correlate with 8/14. Therefore, this option is not correct.

D) 3:5

The ratio 3:5 does not correspond to the simplification of 8/14. There is no direct relationship between 3:5 and the original fraction, making this option incorrect as well.

Conclusion

The correct answer, 4:7, is the only option that accurately represents the simplest form of the fraction 8/14. All other options fail to correctly simplify or relate to the original fraction, confirming that 4:7 is the definitive answer.