Question

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

$- \frac{2}{7} + \frac{5}{5} =$

$\frac{2}{3} + \frac{3}{5} =$

$\frac{1}{4} - \frac{3}{8} =$

$\frac{1}{2} + 2 - \frac{7}{2} =$

$- 3 - \frac{1}{4} + \frac{2}{8} =$

$\frac{5}{3} + ( - \frac{4}{9} ) + \frac{1}{18} =$

$- \frac{7}{2} - \frac{1}{10 } =$

$- \frac{6}{5} - ( \frac{5}{3} - \frac{2}{5} ) =$
​

Answer 1

Respuesta:

a)

$- \frac{2}{7} + \frac{5}{5} = - \frac{10}{35} + \frac{35}{35} = \frac{45}{35} = \frac{9}{7}$

b)

$\frac{2}{3} + \frac{3}{5} = \frac{10}{15} + \frac{9}{15} = \frac{19}{15}$

c)

$\frac{1}{4} + \frac{3}{8} = \frac{2}{8} + \frac{3}{8} = \frac{5}{8}$

d)

$\frac{1}{3} + 2 - \frac{7}{2} = \frac{2}{6} + \frac{12}{6} - \frac{21}{6} = - \frac{7}{6}$

e)

$- 3 - \frac{1}{4} + \frac{2}{8} = - \frac{24}{8} - \frac{2}{8} + \frac{2}{8} = - \frac{24}{8} = - 3$

f)

$\frac{5}{3} + ( - \frac{4}{9} ) + \frac{1}{18} = \frac{30}{18} - \frac{8}{18} + \frac{1}{18} = \frac{23}{18}$

g)

$- \frac{7}{2} - \frac{1}{10} = - \frac{35}{10} - \frac{1}{10} = - \frac{ 36}{10} = \frac{18}{5}$

h)

$- \frac{6}{5} - ( \frac{5}{3} - \frac{2}{5} ) = - \frac{6}{5} - ( \frac{25}{15} - \frac{6}{15} ) = \\ - \frac{6}{5} - \frac{19}{15} = - \frac{18}{15} - \frac{19}{15} = \frac{37}{15}$