Question

find the ratios. simplify your answers. the first one is done for you.
ratio of ♥ to □ = 3:12 simplified = 1:4
ratio of ⌒ to ■ = ____ simplified = ____
ratio of ○ to ☉ = ____ simplified = ____
ratio of ☉ to ✽ = ____ simplified = ____
ratio of ◎ to ❧ = ____ simplified = ____
ratio of to = ____ simplified = ____
ratio of to = ____ simplified = ____
ratio of ◰ to ▲ = ____ simplified = ____

Explanation:

Step1: Count first pair of shapes

Count the curved shapes: $15$, count the bar shapes: $3$.
Initial ratio: $15:3$

Step2: Simplify first ratio

Divide both by GCD 3: $\frac{15}{3}:\frac{3}{3}=5:1$

Step3: Count second pair of shapes

Count the blank shapes: $0$ (not visible), count the circle shapes: $9$.
Initial ratio: $0:9$

Step4: Simplify second ratio

Divide both by GCD 9: $\frac{0}{9}:\frac{9}{9}=0:1$

Step5: Count third pair of shapes

Count the circle shapes: $9$, count the star shapes: $20$.
Initial ratio: $9:20$

Step6: Simplify third ratio

GCD of 9 and 20 is 1, so ratio stays $9:20$

Step7: Count fourth pair of shapes

Count the circle shapes: $5$, count the strawberry shapes: $15$.
Initial ratio: $5:15$

Step8: Simplify fourth ratio

Divide both by GCD 5: $\frac{5}{5}:\frac{15}{5}=1:3$

Step9: Count fifth pair of shapes

Count the left shapes: $7$, count the right shapes: $8$.
Initial ratio: $7:8$

Step10: Simplify fifth ratio

GCD of 7 and 8 is 1, so ratio stays $7:8$

Step11: Count sixth pair of shapes

Count the flag shapes: $4$, count the triangle shapes: $18$.
Initial ratio: $4:18$

Step12: Simplify sixth ratio

Divide both by GCD 2: $\frac{4}{2}:\frac{18}{2}=2:9$

Answer:

1. ratio of curved to bar = $15:3$, simplified = $5:1$
2. ratio of blank to circle = $0:9$, simplified = $0:1$
3. ratio of circle to star = $9:20$, simplified = $9:20$
4. ratio of circle to strawberry = $5:15$, simplified = $1:3$
5. ratio of left to right shape = $7:8$, simplified = $7:8$
6. ratio of flag to triangle = $4:18$, simplified = $2:9$