\(\dfrac{4}{15}-\dfrac{23}{28}-\left(-\dfrac{23}{28}+-\dfrac{11}{5}-\dfrac{29}{27}\right)-\dfrac{2}{27}\)
\(=\dfrac{4}{15}-\dfrac{23}{28}+\dfrac{23}{28}+\dfrac{11}{5}+\dfrac{29}{27}-\dfrac{2}{27}\)
\(=\left(\dfrac{4}{15}+\dfrac{11}{5}\right)+\left(-\dfrac{23}{28}+\dfrac{23}{28}\right)+\left(\dfrac{29}{27}-\dfrac{2}{27}\right)\)
\(=\left(\dfrac{4}{15}+\dfrac{33}{15}\right)+0+1\)
\(=\dfrac{37}{15}+1\)
\(=\dfrac{52}{15}\)
`4/15-23/28-(-23/28+-11/5-29/27)-2/27`
`=4/15-23/28-(-23/28-11/5-29/27)-2/27`
`=4/15-23/28+23/28+11/5+29/27-2/27`
`=(4/15+11/5)+(23/28-23/28)+(29/27-2/27)`
`=37/15+0+27/27`
`=(37/15+0)+27/27`
`=37/15+27/27`
`=37/15+1`
`=37/15+15/15`
`=(37+15)/15`
`=52/15`
