To find the total thickness of two pieces of wood that a carpenter glued together, where one piece is [tex]\( \frac{5}{16} \)[/tex] inch thick and the other is [tex]\( \frac{7}{8} \)[/tex] inch thick, follow these steps:
1. Convert the fractions to decimal form:
[tex]\(\frac{5}{16} = 0.3125\)[/tex]
[tex]\(\frac{7}{8} = 0.875\)[/tex]
2. Add the decimal values together:
[tex]\(0.3125 + 0.875 = 1.1875\)[/tex]
3. Convert the decimal result back to a fraction, if necessary, to match one of the given answer choices:
[tex]\(1.1875\)[/tex] as a fraction is [tex]\( \frac{19}{16} \)[/tex].
Now, we convert [tex]\( \frac{19}{16} \)[/tex] into a mixed number.
[tex]\[
19 \div 16 = 1 \text{ with a remainder of } 3
\][/tex]
Therefore, [tex]\( \frac{19}{16} = 1 \frac{3}{16} \)[/tex].
So, the total thickness of the two pieces of wood glued together is [tex]\( 1 \frac{3}{16} \)[/tex] inches. This matches the answer:
1 3/16 inches
