write three equivalent ratios to compare each of the following.
8 triangles to 12 circles
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8 : 12 = 4:6 = 2:3 = 16:24
8:12-4:6-2:3-16:24
To find three equivalent ratios to compare 8 triangles to 12 circles, we need to find equivalent ratios by multiplying or dividing both the numerator and denominator by the same number.
Ratio 1: To find an equivalent ratio, we can divide the numerator and the denominator by the greatest common divisor (GCD) of 8 and 12, which is 4.
So, dividing both 8 and 12 by 4, we get:
8/4 = 2 triangles
12/4 = 3 circles
Therefore, the first equivalent ratio is 2 triangles to 3 circles.
Ratio 2: We can also multiply both the numerator and the denominator by the same number to find the next equivalent ratio.
Multiplying both 8 and 12 by 2, we get:
8 * 2 = 16 triangles
12 * 2 = 24 circles
So, the second equivalent ratio is 16 triangles to 24 circles.
Ratio 3: Similarly, we can multiply or divide by any number to find another equivalent ratio.
Multiplying both 8 and 12 by 3, we get:
8 * 3 = 24 triangles
12 * 3 = 36 circles
Thus, the third equivalent ratio is 24 triangles to 36 circles.
The three equivalent ratios to compare 8 triangles to 12 circles are:
2 triangles to 3 circles
16 triangles to 24 circles
24 triangles to 36 circles.