Question

Frank,Leah and tom play a trivia game. Frank's score is -2. Leah's scare is 3/4 of Frank's scare. Tom's scare is 2/3 of Leah's scare.what is tom scare?

Answer 1

3/4 - 2/3

3/4 × 3 = 9/12
2/3 × 4 = 8/12

9/12 - 8/12 = 1/12

Tom's score is 1/12 because in order to find his score, you'll have to subtract. So you have to subtract 3/4 - 2/3 but you can't subtract it since they don't have a common denominator. What you have to do to find the common denominator is to find the least common denominator by finding a multiple of 4 and 3. I know that 4 × 3 = 12 and 3 × 4 = 12, so that is gonna be my denominator. Now, we just have to multiply 3/4 by 3 and 2/3 by 4 and we have the answers of 9/12 and 8/12. Now I can subtract. 9/12 - 8/12 is gonna equal 1/12. This shows how I got my answer of 1/12.