which of these correctly describes the ratio 6:3?
3/6
6 triangles to 9 shapes
9 shapes to 6 triangles
6 triangles to 3 circles
The correct description for the ratio 6:3 is "6 triangles to 3 circles".
The ratio 6:3 means that there are 6 parts of one quantity to 3 parts of another quantity. So, the correct description of the ratio 6:3 is "6 triangles to 3 circles".
To determine which option correctly describes the ratio 6:3, let's examine each option:
1. 3/6: This option represents the ratio as a fraction. To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3 in this case. Dividing 3 by 3 gives us 1, and dividing 6 by 3 gives us 2. Therefore, 3/6 simplifies to 1/2. However, this does not match the original ratio of 6:3, so this option is not correct.
2. 6 triangles to 9 shapes: This option represents the ratio as a comparison between the number of triangles and shapes. According to this option, for every 6 triangles, there are 9 shapes. However, the original ratio is 6:3, so this option is not correct.
3. 9 shapes to 6 triangles: This option represents the ratio as a comparison between the number of shapes and triangles. According to this option, for every 9 shapes, there are 6 triangles. This matches the original ratio of 6:3, where there are 6 triangles for every 3 shapes. Therefore, this option correctly describes the ratio 6:3.
4. 6 triangles to 3 circles: This option represents the ratio as a comparison between the number of triangles and circles. However, the original ratio involves shapes, not circles. Therefore, this option is not correct.
In conclusion, the option "9 shapes to 6 triangles" correctly describes the ratio 6:3.