Derek takes a piece of wood that is 3/4 inch think and glued it to another price of wood that is 2/3 inch thick. Solve the problem and explain how you got your answer.

First off, you didn’t really ask a question you just told us what the thickness of the wood pieces are. But if you are trying to get a equal denominator you first write out the two fractions side by side and find a common denominator.

3/4 and 2/3

The lowest common denominator between 4 and 3 is 12 so in the first equation you multiply both the top and bottom by 3.

3/4 - > 3 times 3 is 9 and 4 times 3 is 12.

To make it 9/12

The second equation you do the same to make both the denominators equal but this time you multiply them by 4.

2/3 - > 2 times 4 is 8 and 3 times 4 is 12.

Making it 8/12

So side by side the two piece of wood started out as

3/4 and 2/3

But the first piece is bigger as it turned into

9/12 and 8/12

3/4+2/3=?

First you have to find like denominators and do the same to the numerator so 12 is the like denominator so 3/4 times 3 on each side is 9/12. Then do the same for the other number so 2/3 times 4 on each side which is 8/12. Now you can add since you have like denominator so 9/12+8/12=17/12. To get this you add only the numerators. Then since it’s an improper fraction you make it a mixed number so your final answer is 17/12 or 1 and 5/12.

3/4+2/3=1 5/12 or 17/12