Question

8) Realizar las siguientes sumas y restas de fracciones. Simplificar el resultado de ser posible

[tex] - \frac{2}{7} + \frac{5}{5} = [/tex]

[tex] \frac{2}{3} + \frac{3}{5} = [/tex]

[tex] \frac{1}{4} - \frac{3}{8} = [/tex]

[tex] \frac{1}{2} + 2 - \frac{7}{2} = [/tex]

[tex] - 3 - \frac{1}{4} + \frac{2}{8} = [/tex]

[tex] \frac{5}{3} + ( - \frac{4}{9} ) + \frac{1}{18} = [/tex]

[tex] - \frac{7}{2} - \frac{1}{10 } = [/tex]

[tex] - \frac{6}{5} - ( \frac{5}{3} - \frac{2}{5} ) = [/tex]
​

Answer 1

Respuesta:

a)

[tex] - \frac{2}{7} + \frac{5}{5} = - \frac{10}{35} + \frac{35}{35} = \frac{45}{35} = \frac{9}{7} [/tex]

b)

[tex] \frac{2}{3} + \frac{3}{5} = \frac{10}{15} + \frac{9}{15} = \frac{19}{15} [/tex]

c)

[tex] \frac{1}{4} + \frac{3}{8} = \frac{2}{8} + \frac{3}{8} = \frac{5}{8} [/tex]

d)

[tex] \frac{1}{3} + 2 - \frac{7}{2} = \frac{2}{6} + \frac{12}{6} - \frac{21}{6} = - \frac{7}{6} [/tex]

e)

[tex] - 3 - \frac{1}{4} + \frac{2}{8} = - \frac{24}{8} - \frac{2}{8} + \frac{2}{8} = - \frac{24}{8} = - 3[/tex]

f)

[tex] \frac{5}{3} + ( - \frac{4}{9} ) + \frac{1}{18} = \frac{30}{18} - \frac{8}{18} + \frac{1}{18} = \frac{23}{18} [/tex]

g)

[tex] - \frac{7}{2} - \frac{1}{10} = - \frac{35}{10} - \frac{1}{10} = - \frac{ 36}{10} = \frac{18}{5} [/tex]

h)

[tex] - \frac{6}{5} - ( \frac{5}{3} - \frac{2}{5} ) = - \frac{6}{5} - ( \frac{25}{15} - \frac{6}{15} ) = \\ - \frac{6}{5} - \frac{19}{15} = - \frac{18}{15} - \frac{19}{15} = \frac{37}{15} [/tex]