Help I need to find the ratios of these letter problems and I did it but it’s says it’s wrong:(

Step-by-step explanation:

A. Solution:

Since

5 : 2 = 15 : X

Then we know

2/5 = X/15

Multiplying both sides by 15 cancels on the right

15 × (2/5) = (X/15) × 15

15 × (2/5) = X

Then solving for X

X = 15 × (2/5)

X = 6

Therefore

5 : 2 = 15 : 6

B. Solution:

We can simplify the ratio 2 : 6 by dividing both terms by the greatest common factor (GCF).

The GCF of 2 and 6 is 2.

Divide both terms by 2.

2 ÷ 2 = 1

6 ÷ 2 = 3

Therefore:

2 : 6 = 1 : 3

C. Solution:

Since

2 : 10 = 20 : X

Then we know

10/2 = X/20

Multiplying both sides by 20 cancels on the right

20 × (10/2) = (X/20) × 20

20 × (10/2) = X

Then solving for X

X = 20 × (10/2)

X = 100

Therefore

2 : 10 = 20 : 100

D. Solution:

Since

12 : 4 = 3 : X

Then we know

4/12 = X/3

Multiplying both sides by 3 cancels on the right

3 × (4/12) = (X/3) × 3

3 × (4/12) = X

Then solving for X

X = 3 × (4/12)

X = 1

Therefore

12 : 4 = 3 : 1

E. Solution:

Since

33 : 21 = 11 : X

Then we know

21/33 = X/11

Multiplying both sides by 11 cancels on the right

11 × (21/33) = (X/11) × 11

11 × (21/33) = X

Then solving for X

X = 11 × (21/33)

X = 7

Therefore

33 : 21 = 11 : 7

F. Solution:

Since

21 : 9 = X : 3

Then we know

21/9 = X/3

Multiplying both sides by 3 cancels on the right

3 × (21/9) = (X/3) × 3

3 × (21/9) = X

Then solving for X

X = 3 × (21/9)

X = 7

Therefore

21 : 9 = 7 : 3

G. Solution:

We can simplify the ratio 32 : 12 by dividing both terms by the greatest common factor (GCF).

The GCF of 32 and 12 is 4.

Divide both terms by 4.

32 ÷ 4 = 8

12 ÷ 4 = 3

Therefore:

32 : 12 = 8 : 3

H. Solution:

Since

3 : 4 = X : 8

Then we know

3/4 = X/8

Multiplying both sides by 8 cancels on the right

8 × (3/4) = (X/8) × 8

8 × (3/4) = X

Then solving for X

X = 8 × (3/4)

X = 6

Therefore

3 : 4 = 6 : 8

I. The ratio is already in lowest terms so we found an equivalent ratio by multiplying both terms by 2

Therefore

5 : 2 = 10 : 4

J. Solution:

We can simplify the ratio 25 : 50 by dividing both terms by the greatest common factor (GCF).

The GCF of 25 and 50 is 25.

Divide both terms by 25.

25 ÷ 25 = 1

50 ÷ 25 = 2

Therefore:

25 : 50 = 1 : 2

K. Solution:

We can simplify the ratio 34 : 18 by dividing both terms by the greatest common factor (GCF).

The GCF of 34 and 18 is 2.

Divide both terms by 2.

34 ÷ 2 = 17

18 ÷ 2 = 9

Therefore:

34 : 18 = 17 : 9

I hope this answers your question.