Write the ratio 12 to 36 as an equivalent ratio of X to three
To find an equivalent ratio, we can divide both the numerator and denominator of the original ratio by their greatest common factor (GCF).
The GCF of 12 and 36 is 12. Dividing both numbers by 12 yields:
12 ÷ 12 = 1
36 ÷ 12 = 3
Therefore, the ratio 12 to 36 is equivalent to the ratio 1 to 3.
To find an equivalent ratio of X to three that is equivalent to 12 to 36, we can set up a proportion:
12/36 = X/3
To solve for X, we can cross multiply:
36 * X = 12 * 3
Which simplifies to:
36X = 36
Dividing both sides of the equation by 36:
X = 1
So, the ratio 12 to 36 is equivalent to the ratio 1 to 3.
To solve this problem, we need to find the value of X that relates to the ratio 12 to 36 in the same way that three relates to X.
First, we can simplify the given ratio 12 to 36 by dividing both numbers by their greatest common divisor, which is 12.
12 ÷ 12 = 1
36 ÷ 12 = 3
So the simplified ratio is 1 to 3.
Next, we need to find the value of X that relates to the ratio 1 to 3 in the same way that three relates to X. Since the second number in the ratio, which is 3, corresponds to X, we can conclude that X = 3.
Therefore, the equivalent ratio of 12 to 36 as X to three is 3 to 3.