Write the ratio 12:36 as an equivalent ratio of x:3
To find the equivalent ratio of x:3, we need to find the value of x.
We can set up a proportion to solve for x:
12/36 = x/3
Cross-multiplying, we get:
36x = 36
Dividing both sides by 36, we find:
x = 1
Therefore, the equivalent ratio is 1:3.
To find an equivalent ratio, we need to find the value of x that makes the ratio x:3 the same as 12:36.
First, let's simplify the ratio 12:36. We can divide both 12 and 36 by their greatest common divisor, which is 12. Dividing both numbers by 12 gives us the simplified ratio of 1:3.
Now, we want to find the value of x that makes x:3 equivalent to 1:3. Since the two ratios are equivalent, we can set up a proportion:
x/3 = 1/3
To solve for x, we can cross-multiply:
3 * 1 = x * 3
3 = 3x
Dividing both sides by 3 gives us:
1 = x
Therefore, the ratio 12:36 is equivalent to 1:3 as a ratio of x:3.
To find an equivalent ratio of x:3 for the given ratio 12:36, we divide both sides of the ratio by the same number to simplify it.
First, let's divide both sides of the given ratio by the greatest common divisor (GCD) of 12 and 36, which is 12.
12 ÷ 12 = 1
36 ÷ 12 = 3
So, the simplified ratio is 1:3.
Now, to make it in terms of x and 3, we need to find the value of x that makes the ratio 1:3.
To do that, let's set up a proportion:
1/3 = x/3
To find x, we can cross-multiply:
3x = 3
Then, divide both sides of the equation by 3:
3x/3 = 3/3
Simplifying further, we get:
x = 1
So, the equivalent ratio of 12:36 in terms of x:3 is 1:3.