Write the ratio 12:36 as an equivalent ratio of x:3 .
To find the equivalent ratio, we can set up a proportion.
The ratio 12:36 can be written as 12/36.
We want to find the equivalent ratio in terms of x:3, so we can write it as x/3.
Setting up the proportion:
12/36 = x/3
To solve for x, we can cross multiply:
36 * x = 12 * 3
36x = 36
Divide both sides by 36:
x = 1
So, the equivalent ratio is 1:3.
To write the ratio 12:36 as an equivalent ratio of x:3, we need to find the value of x that makes the two ratios equivalent.
First, let's simplify the ratio 12:36 by dividing both numbers by their greatest common divisor (GCD), which is 12 in this case:
12 ÷ 12 = 1
36 ÷ 12 = 3
So, the simplified ratio is 1:3.
Now, we can set up a proportion to find the value of x:
1/3 = x/3
To solve for x, we can cross-multiply:
1 * 3 = 3x
3 = 3x
Finally, divide both sides of the equation by 3:
3/3 = 3x/3
1 = x
Therefore, the equivalent ratio of 12:36 as x:3 is 1:3.
To find an equivalent ratio of x:3, we need to determine the value of x.
The ratio 12:36 can be simplified by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 12 and 36 is 12.
Dividing both numbers by 12, we get:
(12 ÷ 12) : (36 ÷ 12)
1 : 3
Now we know that the ratio 12:36 is equivalent to the ratio 1:3.
To express this ratio as x:3, we can substitute the x with 1:
1:3 = x:3
Therefore, the ratio 12:36 as an equivalent ratio of x:3 is 1:3.