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Find the total thickness of two pieces of wood that a carpenter glued together if one is [tex]\(\frac{5}{16}\)[/tex] inch thick and the other is [tex]\(\frac{7}{8}\)[/tex] inch thick.

A. [tex]\(1 \frac{1}{4}\)[/tex] inches
B. [tex]\(1 \frac{3}{16}\)[/tex] inches
C. [tex]\(1 \frac{1}{8}\)[/tex] inches
D. [tex]\(\frac{15}{8}\)[/tex] inches

Sagot :

GinnyAnsweridn
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
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