Rationale
3/8 expressed as a percent is 37.50%.
To convert the fraction 3/8 into a percentage, you multiply by 100, yielding 37.5%. This conversion method accurately represents the fraction as a part of 100, which is the basis for percentage calculations.
A) 3.75% is incorrect because it represents a miscalculation. When converting 3/8 to a percentage, the correct formula involves multiplying by 100, which does not yield this result. Instead, 3/8 is equivalent to 0.375, and multiplying this by 100 gives 37.5%, not 3.75%.
B) 37.50% is the correct answer. Performing the conversion of 3/8, we divide 3 by 8 to get 0.375, and then multiply by 100 to arrive at 37.50%. This accurately reflects the value of the fraction in percentage form.
C) 38% is incorrect as it rounds the precise result improperly. The exact percentage from 3/8 is 37.5%, so rounding it to 38% does not accurately represent the value. Percentages must remain true to their exact calculated form unless explicitly stated as rounded.
D) 38,1/3% is also incorrect because it inaccurately presents the fraction as a percentage. The correct conversion leads to 37.5%, and any representation that suggests a value of 38 and 1/3% does not align with the proper calculation of 3/8.
Conclusion
In summary, converting 3/8 into a percentage correctly results in 37.50%. This emphasizes the importance of accurate calculations in percentage conversions. The other choices either miscalculate or round improperly, highlighting that precision is crucial when expressing fractions as percentages.