Write three equivalent ratios to compare the following: 8 triangles to 12 curcles
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 can start by dividing both values by their greatest common divisor (GCD), which is 4.
Ratio 1:
Triangles: Circles
8 ÷ 4 : 12 ÷ 4
2 : 3
Ratio 2:
Triangles: Circles
8 ÷ 4 × 2 : 12 ÷ 4 × 2
4 : 6
Ratio 3:
Triangles: Circles
8 ÷ 4 × 3 : 12 ÷ 4 × 3
6 : 9
So, three equivalent ratios to compare 8 triangles to 12 circles are:
1) 2:3
2) 4:6
3) 6:9
To compare the ratio of 8 triangles to 12 circles, we can find equivalent ratios by multiplying or dividing the numerator and denominator by the same number.
1. Ratio #1:
We can start by dividing both the numerator and denominator by 4:
8 triangles ÷ 4 = 2 triangles
12 circles ÷ 4 = 3 circles
So, the equivalent ratio is 2 triangles to 3 circles.
2. Ratio #2:
Let's multiply both the numerator and denominator by 2:
8 triangles × 2 = 16 triangles
12 circles × 2 = 24 circles
Therefore, the equivalent ratio is 16 triangles to 24 circles.
3. Ratio #3:
We will multiply both the numerator and denominator by 3:
8 triangles × 3 = 24 triangles
12 circles × 3 = 36 circles
Hence, the equivalent ratio is 24 triangles to 36 circles.