`16/803+38+(-16/803)`
`=16/803-16/803+38`
`=0+38=38`
`100/91+310-9/91`
`=100/91-9/91+310`
`=1+310=311`
\(\dfrac{16}{103}+\left(38+\dfrac{-16}{103}\right)\)
\(=\dfrac{16}{103}+38+\dfrac{-16}{103}\)
\(=\dfrac{16}{103}+\dfrac{-16}{103}+38\)
\(=0+38\)
\(=38\)
\(\dfrac{100}{91}+310+\dfrac{-9}{91}\)
\(=\dfrac{100}{91}+\dfrac{-9}{91}+310\)
\(=1+310=311\)
\(\dfrac{-13}{49}+\left(\dfrac{-36}{49}+41\right)\)
\(=\dfrac{-13}{49}+\dfrac{-36}{49}+41\)
\(=-1+41\)
\(=40\)
\(\dfrac{16}{103}+\left(38+\dfrac{-16}{103}\right)\)
\(=\dfrac{16}{103}+38+\dfrac{-16}{103}\)
\(=\left(\dfrac{16}{103}+\dfrac{-16}{103}\right)+38\)
\(=0+38\)
\(=38\)
\(\dfrac{100}{91}+310+\dfrac{-9}{91}\)
\(=\left(\dfrac{100}{91}+\dfrac{-9}{91}\right)+310\)
\(=1+310\)
\(=311\)
\(\dfrac{-13}{49}+\left(\dfrac{-36}{49}+41\right)\)
\(=\dfrac{-13}{49}+\dfrac{-36}{49}+41\)
\(=\left(\dfrac{-13}{49}+\dfrac{-36}{49}\right)+41\)
\(=-1+41\)
\(=40\)
\(\dfrac{-10}{71}:1\dfrac{4}{71}=\dfrac{-10}{71}:\dfrac{75}{71}=\dfrac{-10}{71}.\dfrac{71}{75}=\dfrac{-10.71}{71.75}=\dfrac{-2}{15}\)
\(\dfrac{4}{15}+\dfrac{8}{15}:2-\dfrac{1}{18}.\left(-3\right)^2\)
\(=\dfrac{4}{15}+\dfrac{4}{15}-\dfrac{1}{18}.9\)
\(=\dfrac{8}{15}-\dfrac{1}{2}\)
\(=\dfrac{1}{30}\)