Question

Steven is puiting a design that contains two repeating patterns that start in the same place. One pattern repeats every 12 inches and the other repeats every 18 inches. How many inches will it take for the patterns to begin together again?

Answer 1

36

Explanation:

So, taking 12 inches and 18 inches, we can figure out where they both meet. To do this, you want to change these number into a fraction (12/18). Simplifying this gives you 2/3. So if you flip this fraction (3/2) and then use these number and multiply them with the first numbers (so we do 3*12 and 2*18, they both equal 36, so they would both meet at 36, our final answer. they would also meet at 72, 108, 144, etc. if you were to keep going.