34. Which of the following fractional representations is equivalent to 0.897?
Answer: C
0.897 is equivalent to 897/1000.
The fractional representation equivalent to 0.897 is 897/1000, as this fraction accurately reflects the decimal value when converted.
A) 0.897/1000
This option is incorrect because it represents a much smaller value than 0.897. Dividing 0.897 by 1000 results in 0.000897, which does not match the original decimal.
B) 897/10000
This option is also incorrect because it simplifies to 0.0897, which is significantly lower than 0.897. The denominator of 10000 makes the fraction too small to represent the given decimal.
C) 897/1000
This option is correct as it directly represents the decimal 0.897. When the numerator 897 is divided by the denominator 1000, the result is exactly 0.897, confirming the equivalence.
D) 897/100
This option is incorrect as it simplifies to 8.97. The denominator of 100 results in a value that is ten times larger than the intended decimal of 0.897.
Conclusion
The correct answer, 897/1000, accurately reflects the decimal 0.897, while all other options misrepresent the value either by being too large or too small. Therefore, 897/1000 is the only valid fractional representation among the choices provided.