Question

find the ratio of circles to triangles in the diagram below.
ratio of circles to triangles (without simplifying):
just count them all
answer
for every 1 circle there are blank triangles, therefore the simplified ratio of circles to triangles is blank : blank

Explanation:

Step1: Count the number of circles

Looking at the diagram, we can see that there are 3 circles.

Step2: Count the number of triangles

Looking at the diagram, we can see that there are 6 triangles.

Step3: Find the ratio of circles to triangles (without simplifying)

The ratio of circles to triangles is the number of circles divided by the number of triangles, so we write it as \( 3:6 \).

Step4: Simplify the ratio

To simplify the ratio \( 3:6 \), we divide both parts by their greatest common divisor, which is 3. So, \( \frac{3}{3}:\frac{6}{3} = 1:2 \). Also, for every 1 circle, the number of triangles is \( \frac{6}{3}=2 \).

Answer:

Ratio of circles to triangles (without simplifying): \( 3:6 \)
Simplified ratio of circles to triangles: \( 1:2 \)
For every 1 circle, there are 2 triangles.