Convert 0.60 to a ratio in simplest form.

Rationale

0.60 converts to the ratio 3:5 in simplest form.

To express 0.60 as a ratio, it can be written as 60:100, which simplifies to 3:5 when both the numerator and denominator are divided by their greatest common divisor, 20. This demonstrates the conversion of a decimal to a ratio while ensuring it is in its simplest form.

A (3:5) CORRECT

This is the correct ratio representation of 0.60. Starting from the decimal, 0.60 can be expressed as 60/100, and simplifying this fraction leads to 3/5, confirming that this is the simplest form of the ratio.

B (2:50) YOUR ANSWER

The ratio 2:50 simplifies to 1:25, which does not correspond to the decimal 0.60. This ratio indicates a much smaller value (0.04), demonstrating that it cannot correctly represent 0.60 in ratio form.

C (2:6) YOUR ANSWER

The ratio 2:6 simplifies to 1:3, which also does not equate to 0.60. This corresponds to a decimal value of approximately 0.33, indicating that it is not a correct representation of 0.60.

D (1:6) YOUR ANSWER

The ratio 1:6 simplifies to approximately 0.1667, which is far from 0.60. This option represents a much smaller value and thus cannot be the correct ratio for 0.60.

Conclusion

To convert a decimal to a ratio, it is essential to simplify the fraction by its greatest common divisor. In the case of 0.60, the correct simplified ratio is 3:5, while all other provided choices represent different values that do not correspond to the original decimal. Understanding how to simplify ratios ensures precise conversions between decimal and ratio formats.

Convert 0.60 to a ratio in simplest form.

0.60 converts to the ratio 3:5 in simplest form.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test