Write the ratio 12:36 as an equivalent ratio of x:3
To write the ratio 12:36 as an equivalent ratio of x:3, we need to find a value for x that makes the two ratios equivalent.
First, simplify the original ratio by dividing both terms by their greatest common divisor, which is 12:
12 ÷ 12 = 1
36 ÷ 12 = 3
So, the simplified ratio is 1:3.
We want to find the value of x in the ratio x:3 that is equal to 1. Since 1 is equal to itself, we can conclude that x must be equal to 1.
Therefore, the equivalent ratio of 12:36 as x:3 is 1:3.
To find an equivalent ratio of x:3 for the ratio 12:36, we need to find a common factor between the numerator and denominator.
First, let's simplify the ratio 12:36 by dividing both numbers by their greatest common factor, which is 12:
12 ÷ 12 = 1
36 ÷ 12 = 3
So, the simplified ratio is 1:3.
Now, we can set up a proportion to find the equivalent ratio of x:3:
1/3 = x/3
Cross multiplying, we get:
3x = 3
Dividing both sides by 3, we find:
x = 1
Therefore, the equivalent ratio of 12:36 as x:3 is 1:3.