Answer
$4\dfrac{9}{16}$
Work Step by Step
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:
$=(5-1) + \left(\dfrac{13-4}{16}\right)
\\=4+\dfrac{9}{16}
\\=4\dfrac{9}{16}$
