. Express the ratios in its simplest form (a) 15:12 (b) 42:18 . Find the value of "x" in the following 2:x :: 4:6​

See explanation

Explanation:

To express the ratios in its simplest form, we've to find the common factor of the numbers given and them reduce them to their lowest term.

(a) 15:12

The common factor to 15 and 12 is 3. Therefore, we will divide the numbers given by 3. This will be:

15/12 = (15/3) / (12/3) = 5/4 = 5:4

(b) 42:18

The common factor to 42 and 18 is 6. Therefore, we will divide the numbers given by 6. This will be:

42/18 = (42/6) / (18/6) = 7/3 = 7:3

Find the value of "x" in the following 2:x :: 4:6​

This will be:

2/x = 4/6

Cross Multiply

4 × x = 2 × 6

4x = 12

Divide both side by 4.

4x/4 = 12/4

x = 3