Question

Rewrite the ratio 15:36 as an equivalent ratio of the form 1:n

Answer 1

The equivalent ratio of 15:36 in the form 1:n is 1:2.4, obtained by dividing both numbers in the original ratio by the first number, 15.

Step-by-step explanation:

To rewrite the ratio 15:36 in the form of 1:n, we need to simplify the ratio so that the first number is 1. We can do this by dividing both parts of the ratio by the first number, 15. So, we divide 15 by itself to get 1, and we divide 36 by 15 to find the number that will be 'n' in our 1:n ratio.

Dividing 36 by 15, we get 2.4. Therefore, the equivalent ratio of 15:36 in the form of 1:n is 1:2.4.

To check the work, we can set up a proportion comparing the original ratio to the new ratio:

15/36 = 1/n

15 * n = 36 * 1

n = 36/15

n = 2.4

This confirms that our equivalent ratio is correct.

Answer 2

To rewrite the ratio 15:36 as an equivalent ratio of the form 1:n, we can set up a proportion by setting the two ratios equal to each other: 15/36 = 1/n. Solving for 'n', we get n = 12/5.

Step-by-step explanation:

To rewrite the ratio 15:36 as an equivalent ratio of the form 1:n, we need to find a number 'n' that is equal to 36 when multiplied by 15. We can set up a proportion by setting the two ratios equal to each other: 15/36 = 1/n. To solve for 'n', we can cross-multiply and solve for 'n'. Cross-multiplying gives us 15n = 36, and dividing both sides by 15 gives us n = 36/15. Simplifying the fraction gives us n = 12/5.