Write the ratio 12: 36 as an equivalent ratio of 2: 3.

3 answers

To find an equivalent ratio of 12:36 in terms of 2:3, we need to simplify the ratio by dividing both numbers by the greatest common factor.

12:36 can be simplified by dividing both numbers by 12 (the greatest common factor):

12 ÷ 12 = 1
36 ÷ 12 = 3

Therefore, the ratio 12:36 is equivalent to 1:3.

Now, to express the equivalent ratio in terms of 2:3, we need to multiply both numbers by 2:

1 * 2 = 2
3 * 2 = 6

So, the equivalent ratio of 12:36 in terms of 2:3 is 2:6, which can be further simplified to 1:3.
How do you write 4 is to 16 as 12 is to 48 as a proportion in fractional notation? Do not simplify your answer.
To write 4 is to 16 as 12 is to 48 as a proportion in fractional notation, it would be:

4/16 = 12/48