Question

math worksheet 1
find the ratios. simplify your answers. the first one is done for you.
ratio of ♥ to ♡ = 2:4 simplified = 1:2
ratio of to = ____ simplified = ____
ratio of to = ____ simplified = ____
ratio of to = ____ simplified = ____
ratio of to = ____ simplified = ____
ratio of to = ____ simplified = ____
ratio of to = ____ simplified = ____
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Explanation:

Step1: Count first set (curved shapes)

Count = 8

Step2: Count second set (rectangle shapes)

Count = 6

Step3: Write initial ratio

$8:6$

Step4: Simplify by dividing by GCD 2

$\frac{8}{2}:\frac{6}{2} = 4:3$

Step5: Count first set (smiley shapes)

Count = 3

Step6: Count second set (flower shapes)

Count = 9

Step7: Write initial ratio

$3:9$

Step8: Simplify by dividing by GCD 3

$\frac{3}{3}:\frac{9}{3} = 1:3$

Step9: Count first set (bracket shapes)

Count = 2

Step10: Count second set (strawberry shapes)

Count = 8

Step11: Write initial ratio

$2:8$

Step12: Simplify by dividing by GCD 2

$\frac{2}{2}:\frac{8}{2} = 1:4$

Step13: Count first set (star shapes)

Count = 6

Step14: Count second set (circle dot shapes)

Count = 6

Step15: Write initial ratio

$6:6$

Step16: Simplify by dividing by GCD 6

$\frac{6}{6}:\frac{6}{6} = 1:1$

Step17: Count first set (leaf shapes)

Count = 3

Step18: Count second set (triangle shapes)

Count = 9

Step19: Write initial ratio

$3:9$

Step20: Simplify by dividing by GCD 3

$\frac{3}{3}:\frac{9}{3} = 1:3$

Answer:

1. ratio of curved shapes to rectangle shapes = $8:6$ simplified = $4:3$
2. ratio of smiley shapes to flower shapes = $3:9$ simplified = $1:3$
3. ratio of bracket shapes to strawberry shapes = $2:8$ simplified = $1:4$
4. ratio of star shapes to circle dot shapes = $6:6$ simplified = $1:1$
5. ratio of leaf shapes to triangle shapes = $3:9$ simplified = $1:3$