Which of the following is equivalent to 3/5 ?

Rationale

3/5 is equivalent to 0.6.

The fraction 3/5 can be converted to a decimal by dividing the numerator by the denominator, resulting in 0.6. This shows that 3/5 and 0.6 represent the same value, confirming their equivalence.

A (0.006) YOUR ANSWER

This decimal represents a much smaller value than 3/5. Specifically, 0.006 is equivalent to 6/1000, which is significantly less than 3/5 (or 0.6). Therefore, this choice does not equate to the fraction given.

B (0.06) YOUR ANSWER

The value of 0.06 is equivalent to 6/100, which also falls short of the value represented by 3/5. Since 0.06 is only one-tenth of 0.6, it does not represent the same quantity as the fraction in question.

C (0.6) CORRECT

This is the correct answer because converting the fraction 3/5 to decimal form gives 0.6. The division of 3 by 5 yields exactly this value, confirming that they are equivalent.

D (0.66) YOUR ANSWER

The decimal 0.66 is greater than 0.6 and represents 66/100. This value exceeds the fraction 3/5, making it an incorrect choice. Thus, it does not hold the same value as 3/5.

Conclusion

In summary, the fraction 3/5 is accurately represented by the decimal 0.6, while all other options (0.006, 0.06, and 0.66) either fall short or exceed this value. Understanding the conversion between fractions and decimals is essential for recognizing their equivalences in various mathematical contexts.

Which of the following is equivalent to 3/5 ?

3/5 is equivalent to 0.6.

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