Question

jill brought 2 1/3 boxes of carrot muffins for a bake sale mike bought 1 3/4 boxes of apple muffins what is the total number of boxes of muffins jill and mike brought to the bake sale?

Answer 1

To solve this, we need to find the LCM (Least Common Multiple) for 3 and 4 to have common denominator. 3 x 4 is 12.

So let us keep in mind 1 in this case is 12/12, and 2 is 24/12

2 of 2 1/3 is 24/12.

Let us find out 1/3

12 divided by 3 is 4, so we multiply both sides by 4.

1/3 x 4/4 is 4/12. 4/12 plus 24/12 is 28/12 equaling 2 and 4/12, or , if you simplified, 2 and 1/3

Now to find 1 and 3/4

1 is 12/12, and the easiest way to find 3/4 is to do 1/4 x 3 or 4/4 - 1/4. (I'm doing the first way)

12 divided by 4 is 3. we times both sides by 3. 1/4 x 3/3 = 3/12. since 3/4 is 1/4 x 3/1, we multiply 3/12 by 3/1, which equals 9/12.

1 (12/12) plus 3/4 (9/12) equals 21/12, or 1 and 3/4 simplified

Now we add 2 1/3 (28/12) by 1 3/4 (21/12) , we get 4 and 1/12 (simplest form/simplified) or 49/12

Answer is 49/12 or 4 and 1/2

:)