High School

Vanessa glued together one piece of wood that was 9 3/16 inches thick with another that was 13 5/8 inches thick. Find the total thickness of the two pieces of wood.

A. 22(13/16) inches
B. 23(13/16) inches
C. 22(3/16) inches
D. 23(3/16) inches

Answer :

Final answer:

To find the total thickness of the two pieces of wood, add the two fractions together and simplify. The total thickness is 14 7/16 inches, which is option D. 23(3/16) inches.

Explanation:

To find the total thickness of the two pieces of wood, we need to add the two measurements together. First, convert the measurements to fractions with a common denominator.

The first piece of wood is 9 3/16 inches thick, which is equivalent to 9 3/16 inches. The second piece of wood is 13 5/8 inches thick, which is equivalent to 13 5/8 inches.

Now, add the two fractions together: 9 3/16 + 13 5/8 = 9 3/16 + 111/16 = 120/16 + 111/16 = 231/16.

Finally, simplify the fraction: 231/16 = 14 7/16 inches. Therefore, the total thickness of the two pieces of wood is 14 7/16 inches, which is option D. 23(3/16) inches.