$$\frac{ 8 }{ 7 } +( \frac{ 6 }{ 11 } )+ \frac{ 8 }{ 21 } +( \frac{ -5 }{ 22 }$$
$\frac{851}{462}\approx 1.841991342$
$$\frac{88}{77}+\frac{42}{77}+\frac{8}{21}+\frac{-5}{22}$$
$$\frac{88+42}{77}+\frac{8}{21}+\frac{-5}{22}$$
$$\frac{130}{77}+\frac{8}{21}+\frac{-5}{22}$$
$$\frac{390}{231}+\frac{88}{231}+\frac{-5}{22}$$
$$\frac{390+88}{231}+\frac{-5}{22}$$
$$\frac{478}{231}+\frac{-5}{22}$$
$$\frac{478}{231}-\frac{5}{22}$$
$$\frac{956}{462}-\frac{105}{462}$$
$$\frac{956-105}{462}$$
$$\frac{851}{462}$$
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$\frac{23 \cdot 37}{2 \cdot 3 \cdot 7 \cdot 11} = 1\frac{389}{462} = 1.841991341991342$
