`1)2 3/5 - 1 2/3`
`=2+3/5-1-2/3`
`=1+3/5-2/3`
`=15/15+9/15-10/15`
`=14/15`
`2)3 3/7+2 1/2`
`=3+3/7+2+1/2`
`=5+3/7+1/2`
`=70/14+6/14+7/14`
`=83/14`
`3)-3 1/2 -2 1/4`
`=-3-1/2-2-1/4`
`=-5-1/2-1/4`
`=-20/4-2/4-1/4`
`=-23/4`
`4)-2 1/2 - 3 1/4`
`=-2-1/2-3-1/4`
`=-5-1/2-1/4`
`=-23/4`
1: \(2\dfrac{3}{5}-1\dfrac{2}{3}=2+\dfrac{3}{5}-1-\dfrac{2}{3}\)
\(=1+\dfrac{3}{5}-\dfrac{2}{3}=1+\dfrac{9}{15}-\dfrac{10}{15}=1-\dfrac{1}{15}=\dfrac{14}{15}\)
2: \(3\dfrac{3}{7}+2\dfrac{1}{2}=3+\dfrac{3}{7}+2+\dfrac{1}{2}=5+\dfrac{6}{14}+\dfrac{7}{14}=5+\dfrac{13}{14}=\dfrac{83}{14}\)
3: \(-3\dfrac{1}{2}-2\dfrac{1}{4}=-\dfrac{7}{2}-\dfrac{9}{4}=-\dfrac{14}{4}-\dfrac{9}{4}=-\dfrac{23}{4}\)
4: \(-2\dfrac{1}{2}-3\dfrac{1}{4}=-\dfrac{5}{2}-\dfrac{13}{4}=-\dfrac{10}{4}-\dfrac{13}{4}=-\dfrac{23}{4}\)
5: \(-4\dfrac{1}{2}+2\dfrac{3}{10}=-4-\dfrac{1}{2}+2+\dfrac{3}{10}\)
\(=-2-\dfrac{5}{10}+\dfrac{3}{10}=-2-\dfrac{2}{10}=-\dfrac{22}{10}=-\dfrac{11}{5}\)
6: \(-6\dfrac{1}{7}-\left(-7\dfrac{1}{6}\right)\)
\(=-6-\dfrac{1}{7}+7+\dfrac{1}{6}\)
\(=1+\dfrac{1}{42}=\dfrac{43}{42}\)
`5)-4 1/2 + 2 3/10`
`=-4-1/2+2+3/10`
`=-2-1/2+3/10`
`=-20/10-5/10+3/10`
`=-22/10`
`=-11/5`
`6)-6 1/7 - (-7 1/6)`
`=-6-1/7 + 7 + 1/6`
`=1-1/7+1/6`
`=42/42-6/42+7/42`
`=43/42`
