Change the fraction to the simplest possible ratio: 8/14

Rationale

8/14 simplifies to the ratio 4:7.

To simplify the fraction 8/14, we divide both the numerator and denominator by their greatest common divisor, which is 2. This results in the simplest form of the ratio as 4:7.

A (2:4) YOUR ANSWER

The ratio 2:4 simplifies further to 1:2, which does not represent the original fraction of 8/14. Thus, this choice is incorrect as it does not maintain the proportional relationship of the original fraction.

B (4:7) CORRECT

This is the correct simplification of the fraction 8/14. By dividing both 8 and 14 by their greatest common divisor, 2, we arrive at 4:7, reflecting the simplest ratio that corresponds to the original fraction.

C (4:6) YOUR ANSWER

The ratio 4:6 simplifies to 2:3. While it shares a common number with the original fraction, it does not accurately reflect the proper simplification of 8/14, making it an incorrect choice.

D (3:5) YOUR ANSWER

The ratio 3:5 does not correlate with 8/14 at all. This choice represents a completely different relationship, and therefore it fails to simplify the original fraction correctly.

Conclusion

The process of simplifying fractions requires identifying the greatest common divisor to accurately represent the ratio in its simplest form. For the fraction 8/14, this results in the ratio 4:7, which maintains the correct proportional relationship. Other options presented do not accurately reflect this simplification, underscoring the importance of proper reduction in ratio calculations.

Change the fraction to the simplest possible ratio: 8/14

8/14 simplifies to the ratio 4:7.

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