Express the ratios in simplest form

Question

Express the following ratios in simplest form.

1. 6 :15 =

2. 22:67=

3. 25:55 =

4. 45:165=

5. 33/54 =

Answer 1

Express the following ratios in simplest form.

1. 6 :15 =

Step 1: 6 and 15 are divisible by 3 so 6/3=2 and 15/3=5

Final Answer: 6:15 = 2:5 2:5 is simplest form

2. 22:67=

Step 1: 22 and 67 are NOT DIVISIBLE. The division trick: 22 is 2+2=4 an EVEN number, 67 is 6+7 an ODD number. They are not compatible.

Final Answer: 22:67 is already in simplest form

3. 25:55 =

Step 1: 25 and 55 are divisible by 5 so 25/5=5 and 55/5=11

Final Answer: 22:55 = 5:11 5:11 is simplest form

4. 45:165=

Step 1: 45 and 165 are divisible by 15 so 45/15=3 and 165/15=11

Final Answer: 45:165 = 3:11 3:11 is simplest form

5. 33:54 =

Step 1: 33 and 54 are divisible by 3 so 33/3=11 and 54/3=18

Final Answer: 33:54 = 11:18 11:18 is simplest form

Answer 2

For each example, we first have to find the greatest common factor. From there we will divide each each side by the greatest common factor to simplify the ratios.

6:15 - GCF is 3, so it gets reduced to 2:5

22:67 - since 67 is prime, 22:67 is already reduced to its lowest form

25:55 - GCF is 5, so it reduces to 5:11

45:165 - first i see that 5 is a factor so I divide by 5 and get 9:33 then I see that there is a common factor of 3 so it further reduces to 3:11, from here we can see that 11 is prime so this is as far as it can be reduced

33:54 - GCF is 3 which reduces it down to 11:18

Answer 3

1 2:5 divide by 3

2 22:67 as low as it gets

3 5:11 divide by 5

4 3:11 divide by 15

5 11:18 divide by 3

6 1:3 divide by 13

7 3:10 divide by 44

8 4:21 as low as it gets

9 3:10 divide by 16

10 9:1 divide by 7