Question 37

0.4, 4/10, and 2/5 are equivalent to 40 percent.

All three options, 0.4, 4/10, and 2/5, represent the same value as 40 percent.

A) 0.4

This option is correct because 40 percent can be expressed as a decimal by dividing 40 by 100, which equals 0.4. Therefore, 0.4 is equivalent to 40 percent.

B) 4/100

This option is incorrect because although 4/100 does represent 4 percent, it is not equivalent to 40 percent. When simplified, 4/100 equals 0.04, which is significantly less than 40 percent.

C) 4/10

This option is correct as it simplifies to 0.4 when divided. Since 0.4 is equivalent to 40 percent, 4/10 is also equivalent to 40 percent.

D) 0.04

This option is incorrect because 0.04 represents 4 percent, not 40 percent. Therefore, it does not match the value that corresponds to 40 percent.

E) 4

This option is incorrect as it does not represent a percentage. The number 4 does not equate to 40 percent in decimal or fraction form, as it exceeds 100 percent.

F) 2/5

This option is correct because when 2 is divided by 5, it simplifies to 0.4, which is equivalent to 40 percent. Thus, 2/5 accurately represents 40 percent.

Conclusion

The correct answers, 0.4, 4/10, and 2/5, all directly represent the value of 40 percent. The other options either represent lower percentages or do not correspond to the concept of percentage at all, confirming that they are not equivalent to 40 percent.