The sum of 2 feet \(2\frac{\mathrm{1} }{\mathrm{2}}\)inches, 4 feet \(3\frac{\mathrm{3} }{\mathrm{8}}\)inches, and 3 feet \(9\frac{\mathrm{3} }{\mathrm{4}}\)inches is ______.
10 feet 3(5/8) inches.
9 feet 7/8 inches.
9 feet 9(5/8)inches.
10 feet 5/8 inches.
Detailed Explanation
First add the number of feet together and then add the number of inches.
2 feet + 4 feet + 3 feet = 9 feet.
\(2\frac{\mathrm{1} }{\mathrm{2}}\)in + \(3\frac{\mathrm{3} }{\mathrm{8}}\)in + \(9\frac{\mathrm{3} }{\mathrm{4}}\)in = \(\frac{\mathrm{5} }{\mathrm{2}}\) + \(\frac{\mathrm{27} }{\mathrm{8}}\) + \(\frac{\mathrm{39} }{\mathrm{4}}\) = \(\frac{\mathrm{20} }{\mathrm{8}}\) +\(\frac{\mathrm{27} }{\mathrm{8}}\) + \(\frac{\mathrm{78} }{\mathrm{8}}\) = \(\frac{\mathrm{125} }{\mathrm{8}}\) = \(15\frac{\mathrm{5} }{\mathrm{8}}\)in
\(15\frac{\mathrm{5} }{\mathrm{8}}\)in = 1ft \(3\frac{\mathrm{5} }{\mathrm{8}}\), so altogether 9ft + 1ft \(3\frac{\mathrm{5} }{\mathrm{8}}\)iin =10 ft \(3\frac{\mathrm{5} }{\mathrm{8}}\)in.
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