Directions: Use the digits 1-9 to create 3 equivalent ratios.

Each digit can only be used once.

__:__ = __ __ : __ = __ __ : __ __

### Hint

Think halves

### Answer

6:3 = 18:9 = 54:27

Source: Graham Fletcher

Directions: Use the digits 1-9 to create 3 equivalent ratios.

Each digit can only be used once.

__:__ = __ __ : __ = __ __ : __ __

Think halves

6:3 = 18:9 = 54:27

Source: Graham Fletcher

Tags 6.RP.1 6.RP.2 DOK 2: Skill / Concept Graham Fletcher

Directions: Using the digits 1 to 9 at most once each, fill in the boxes …

Now do the same with the digits 0 through 8.

it can be the same

A second solution is: 6:3 = 14:7 = 58:29. Perhaps a secondary hint could be: given the series of numbers think where to place the “5” digit. It narrows the possibility for third ratio to be either: 27/54, 28/56, 29/58. I ended up writing up a solution for teachers working our Title 1 after school program. https://teacherleaders.files.wordpress.com/2016/02/finding-equivalent-ratios-open-middle1.pdf

But how did you get 14? There is no way 6 can get 14.

1*6 =6

2*6 =12

3*6 =18

4*6 =24

5*6 =30

6*6 =36

7*6 =42

8*6 =48

9*6 =54

Equivalent ratios are equivalent when they have the same value of the ratio. Meaning when you turn a ratio into a fraction and simplify, the answers should equal if they are equivalent.

x:y = x/y

6:3 = 6/3 = 2

14:7 = 14/7 = 2

58:29 = 58/29 = 2

These are all equivalent and would be found on the same graph.

6:3 = 18:9 = 54:27

Nina, 6 times 2 and 1/3 is 14, 3 times 2 and 1/3 is 7, so 6:3 is equivalent to 14:7 because both numbers have been multiplied by 2 1/3.

A florist uses 225 branches of winterberry to make 75 wreaths based on this ratio how many branches of winterberry does the floris use for 25 wreaths

1:2 = 2:4

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