## Elementary Technical Mathematics

$4\dfrac{9}{16}$
Make the fractions similar using their LCD, which is $16$, to obtain: $=3\dfrac{5(2)}{8(2)}+2\dfrac{3}{16}-1\dfrac{1(4)}{4(4)} \\=3\dfrac{10}{16} + 2\dfrac{3}{16} - 1\dfrac{4}{16}$ Perform the addition first. Add the whole numbers together and the fractions together to to obtain: $=(3+2)+\left(\dfrac{10+3}{16}\right)-1\dfrac{4}{16} \\=5+\dfrac{13}{16}-1\dfrac{4}{16} \\=5\dfrac{13}{16}-1\dfrac{4}{16}$ Subtract the whole numbers together and the fractions together to obtain: $=(5-1) + \left(\dfrac{13-4}{16}\right) \\=4+\dfrac{9}{16} \\=4\dfrac{9}{16}$