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, you need to find a number that can be multiplied by both the numerator and the denominator of the ratio 12:36 to get x:3.
First, simplify the ratio 12:36 to its lowest terms by dividing both numbers by their greatest common factor, which is 12. This gives you the simplified ratio of 1:3.
Next, you need to find a number that can be multiplied by 1 and 3 to get x and 3, respectively. To do this, you can set up a proportion:
1/x = 3/3
Cross-multiplying gives you:
3x = 3
Solving for x gives you:
x = 1
Therefore, the equivalent ratio of 12:36 as x:3 is 1:3.
Describe three ways to write the ratio that compares 4 electronic devices for every 3 people.(1 point)
Responses
3 to 4, 3:4, 34
3 to 4, ratio of 3 to 4 , Start fraction 3 over 4 end fraction
4 to 3, 4:3, 43
4 to 3, ratio of 4 to 3 , Start fraction 4 over 3 end fraction
4 to 3, 4:3, 34
4 to 3, ratio of 4 to 3 , Start fraction 3 over 4 end fraction
4 to 3, 3:4, 43
How do you write 4 is to 16 as 12 is to 48 as a proportion in fractional notation? Do not simplify your answer.
To find an equivalent ratio of x:3 for the given ratio 12:36, we need to determine the value of x.
First, let's simplify the original ratio 12:36. We can do this by dividing both values by their greatest common divisor (GCD). The GCD of 12 and 36 is 12 since it is the largest number that divides both values without any remainder.
Dividing 12 and 36 by 12, we get:
12 ÷ 12 = 1
36 ÷ 12 = 3
So, the simplified ratio is 1:3.
Now, we can write an equivalent ratio of x:3 using the simplified ratio 1:3. Since the second term in the simplified ratio is 3, we need to make sure the second term in the new ratio is also 3. Therefore, the equivalent ratio will be x:3.
Therefore, the equivalent ratio of 12:36 as x:3 is x:3.