Which of the following fractional representations is equivalent to 0.897?

Rationale

897/1000 is equivalent to 0.897.

This fraction represents the decimal 0.897 accurately, as it shows the value of 897 parts out of 1000, exactly matching the decimal representation.

A (0.897/1000) YOUR ANSWER

This representation suggests that 0.897 is being expressed as a fraction of 1000, which actually results in a much smaller value (0.000897) when calculated. Therefore, it does not accurately represent the decimal 0.897.

B (897/10000) YOUR ANSWER

This fraction indicates 897 parts out of 10,000, which converts to the decimal 0.0897. Although it uses the same numerator, the denominator is incorrect, leading to a vastly different decimal representation.

C (897/1000) CORRECT

This fraction correctly represents 0.897, as it shows 897 parts out of 1000. When converted, it directly equals the decimal 0.897, confirming that this is the correct answer.

D (897/100) YOUR ANSWER

This representation signifies 897 parts out of 100, which results in the decimal 8.97. The denominator being too small leads to a value that is greater than 0.897, thus making it an incorrect representation.

Conclusion

The fraction 897/1000 successfully captures the value of 0.897, making it the only correct answer among the options provided. The other choices either misrepresent the decimal through incorrect denominators or lead to values that do not match 0.897, demonstrating the importance of matching both the numerator and denominator accurately to achieve equivalent representations.

Which of the following fractional representations is equivalent to 0.897?

897/1000 is equivalent to 0.897.

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