Which of the following fractions is equivalent to 12/16?

Rationale

{6/8} is equivalent to 12/16.

To determine if a fraction is equivalent to another, both fractions must simplify to the same value. In this case, 12/16 simplifies to 3/4, and {6/8} also simplifies to 3/4, confirming their equivalence.

A ({6/8}) CORRECT

This fraction can be simplified by dividing both the numerator and denominator by 2, resulting in {3/4}. This matches the simplified form of 12/16, which also equals 3/4, confirming that {6/8} is indeed equivalent to 12/16.

B ({4/3}) YOUR ANSWER

This fraction equals approximately 1.33 when expressed as a decimal. In contrast, 12/16 simplifies to 0.75, indicating that {4/3} is not equivalent to 12/16, as their values do not match.

C ({20/32}) YOUR ANSWER

When simplified by dividing both the numerator and denominator by 4, {20/32} becomes {5/8}. Since 5/8 is approximately 0.625, it does not match the simplified form of 12/16, which is 0.75. Therefore, {20/32} is not equivalent to 12/16.

D ({2/6}) YOUR ANSWER

This fraction simplifies to {1/3} when both the numerator and denominator are divided by 2. Since 1/3 approximates to about 0.33, it does not equal 0.75, confirming that {2/6} is not equivalent to 12/16.

Conclusion

When comparing fractions, equivalence is found when they simplify to the same value. Here, {6/8} simplifies to the same number as 12/16, while the other choices do not. Understanding such equivalences is essential in mathematics, enabling accurate fraction manipulation and comparison.

Which of the following fractions is equivalent to 12/16?

{6/8} is equivalent to 12/16.

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