The doctor donates 6.4 % of her salary to various charities. What fraction of her salary is this?

Rationale

The fraction that represents 6.4% of the doctor's salary is 8/125.

To convert a percentage to a fraction, the percentage is divided by 100 and then simplified as much as possible. In this case, 6.4 divided by 100 gives 0.064. The decimal 0.064 can be written as the fraction 64/1000. Simplifying this fraction by dividing both the numerator and the denominator by the greatest common divisor, which is 8, results in the fraction 8/125.

A (8 / 125) CORRECT

The fraction 8/125 is the simplified fraction form of 6.4%. This is derived by dividing 6.4 by 100 to convert the percentage to a decimal, which gives 0.064. The decimal 0.064 is then converted to a fraction (64/1000), and simplified to 8/125.

B (16 / 25) YOUR ANSWER

The fraction 16/25 is equivalent to 64%, not 6.4%. This is much larger than the percentage of the doctor's salary that she donates to charity.

C (8 / 115) YOUR ANSWER

The fraction 8/115 is approximately equivalent to 6.96%, which is slightly higher than the stated 6.4%. Therefore, this option is incorrect.

D (4 / 625) YOUR ANSWER

The fraction 4/625 is equivalent to approximately 0.64%, which is significantly less than the 6.4% of the doctor's salary that is donated to charity.

Conclusion

The doctor donates 6.4% of her salary to various charities, which is represented as the fraction 8/125. The other options represent fractions that are equivalent to percentages that are significantly different from 6.4%, thus making them incorrect choices for this particular problem.

The doctor donates 6.4 % of her salary to various charities. What fraction of her salary is this?

The fraction that represents 6.4% of the doctor's salary is 8/125.

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