Explicación paso a paso:
A )
[tex]\left(-\dfrac{15}{23}\right)+\left(-\dfrac{19}{23}\right)[/tex]
[tex]=-\dfrac{15}{23}-\dfrac{19}{23}[/tex]
[tex]=\dfrac{-15-19}{23}[/tex]
[tex]=\dfrac{-34}{23}[/tex]
[tex]=-\dfrac{34}{23}[/tex]
B )
[tex]\left(\\\dfrac{3}{4}+\dfrac{5}{3}\right)+\left(7+\dfrac{1}{5}\right)[/tex]
[tex]=\dfrac{29}{12}+\left(7+\dfrac{1}{5}\right)[/tex]
[tex]=\dfrac{29}{12}+\dfrac{36}{5}[/tex]
[tex]=\dfrac{577}{60}[/tex]
FRACCION MIXTA
[tex]=9\dfrac{37}{60}[/tex]
C )
[tex]\left(-\dfrac{2}{5}+4\right)-\left(-\dfrac{1}{3}+1\right)[/tex]
[tex]=\dfrac{18}{5}-\left(-\dfrac{1}{3}+1\right)[/tex]
[tex]=\dfrac{18}{5}-\dfrac{2}{3}[/tex]
[tex]=\dfrac{44}{15}[/tex]
[tex]=2\dfrac{14}{15}[/tex]
D )
[tex]\left(-\dfrac{3}{4}+\dfrac{5}{3}\right)-\left(\dfrac{5}{3}-\dfrac{3}{2}\right)[/tex]
[tex]=\dfrac{11}{12}-\left(\dfrac{5}{3}-\dfrac{3}{2}\right)[/tex]
[tex]=\dfrac{11}{12}-\dfrac{1}{6}[/tex]
[tex]=\dfrac{3}{4}[/tex]
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Explicación paso a paso:
¡Buenas!
A )
[tex]\left(-\dfrac{15}{23}\right)+\left(-\dfrac{19}{23}\right)[/tex]
[tex]=-\dfrac{15}{23}-\dfrac{19}{23}[/tex]
[tex]=\dfrac{-15-19}{23}[/tex]
[tex]=\dfrac{-34}{23}[/tex]
[tex]=-\dfrac{34}{23}[/tex]
B )
[tex]\left(\\\dfrac{3}{4}+\dfrac{5}{3}\right)+\left(7+\dfrac{1}{5}\right)[/tex]
[tex]=\dfrac{29}{12}+\left(7+\dfrac{1}{5}\right)[/tex]
[tex]=\dfrac{29}{12}+\dfrac{36}{5}[/tex]
[tex]=\dfrac{577}{60}[/tex]
FRACCION MIXTA
[tex]=9\dfrac{37}{60}[/tex]
C )
[tex]\left(-\dfrac{2}{5}+4\right)-\left(-\dfrac{1}{3}+1\right)[/tex]
[tex]=\dfrac{18}{5}-\left(-\dfrac{1}{3}+1\right)[/tex]
[tex]=\dfrac{18}{5}-\dfrac{2}{3}[/tex]
[tex]=\dfrac{44}{15}[/tex]
FRACCION MIXTA
[tex]=2\dfrac{14}{15}[/tex]
D )
[tex]\left(-\dfrac{3}{4}+\dfrac{5}{3}\right)-\left(\dfrac{5}{3}-\dfrac{3}{2}\right)[/tex]
[tex]=\dfrac{11}{12}-\left(\dfrac{5}{3}-\dfrac{3}{2}\right)[/tex]
[tex]=\dfrac{11}{12}-\dfrac{1}{6}[/tex]
[tex]=\dfrac{3}{4}[/tex]
¡Saludos!