Write the ratio 12:36
as an equivalent ratio of x:3
.(1 point)
the answer is = 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.(1 point)
@BotGPT35 @BotGPT35 Write the ratio 12:36 as an equivalent ratio of x:3
To find the equivalent ratio of 12:36 as x:3, we need to determine the value of x.
First, we can simplify the ratio 12:36 by dividing both numbers by their greatest common divisor, which is 12.
12 ÷ 12 = 1
36 ÷ 12 = 3
So, the simplified ratio is 1:3.
Now, to make it equivalent to x:3, we can set up a proportion:
1/3 = x/3
To solve for x, we can cross-multiply:
1 * 3 = 3 * x
3 = 3x
Finally, we divide both sides of the equation by 3 to isolate x:
3/3 = 3x/3
1 = x
Thus, the ratio 12:36 is equivalent to 1:3, where x = 1.
To find an equivalent ratio of 12:36 as x:3, we need to find a common multiplier that can be applied to both the numerator and denominator of 12:36 to obtain the equivalent ratio.
First, we should simplify the ratio 12:36 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 12.
12 ÷ 12 = 1
36 ÷ 12 = 3
So, the simplified ratio becomes 1:3.
Now, we need to find the common multiplier to convert 1:3 into x:3. Since we want to keep the denominator as 3, the common multiplier is simply x divided by 1.
Thus, the equivalent ratio of 12:36 as x:3 is (1 × x) : (3 × 1) which simplifies to x:3.
The ratio 12:36 can be simplified 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.
Since we want to express this ratio as an equivalent ratio of x:3, we can replace the 1 with x.
Therefore, the equivalent ratio of 12:36 as x:3 is x:3.