Aubrey takes a piece of wood that is 1 1/12 inches thick and glues it to a piece of wood that is 2 7/12 inches thick. Together, what is the thickness of the two pieces of wood?
Write your answer as a fraction or as a whole or mixed number.
inches
To find the thickness of the two pieces of wood combined, we need to add the two measurements.
1 1/12 inches + 2 7/12 inches
First, let's convert the mixed numbers to improper fractions:
1 1/12 = 12/12 + 1/12 = 13/12
2 7/12 = 12/12 + 7/12 = 19/12
Now, we add the fractions:
13/12 + 19/12 = 32/12
Since 32/12 can be simplified further, we divide both the numerator and denominator by their greatest common divisor, which is 4:
32 ÷ 4 / 12 ÷ 4 = 8/3
Therefore, the thickness of the two pieces of wood combined is 8/3 inches, which can also be expressed as a mixed number: 2 2/3 inches.