Question

porfiss : / resuelve las siguientes operaciones A. 5/7+12/14-1/3 B. (3/5)+(-25/12) C. 8/9 dividido (-6/18) D. 7/3 - 6/5 + 4/7 + 10/12 E. 17/5 dividido (20/3 - 15/10) F. (12/3 + 9/26)-(5/3)+(13/19)

Answer 1

Explicación paso a paso:

$a) \\ \frac{5}{7} + \frac{12}{14} - \frac{1}{3} = \\ \\ \frac{5}{7} + \frac{6}{7} - \frac{1}{3} = \\ \\ \frac{11}{7} - \frac{1}{3} = \frac{33 - 7}{21} = \frac{26}{21} \\ \\ b) \\ ( \frac{3}{5} ) + ( - \frac{25}{12} ) = \\ \\ \frac{3}{5} - \frac{25}{12} = \frac{36 - 125}{60} = \frac{89}{60} \\ \\ c) \\ \frac{8}{9} \div ( - \frac{6}{18} ) = \\ \\ \frac{8}{9} \div ( - \frac{1}{3} ) = - \frac{24}{9} \\ simplificamos \: y \: queda \: - \frac{8}{3}$

$d) \\ \frac{7}{3} - \frac{6}{5} + \frac{4}{7} + \frac{10}{12} = \\ \\ \frac{7}{3} - \frac{6}{5} + \frac{4}{7} + \frac{5}{6} \\ \\ \frac{490 - 252 + 120 +175 }{210} = \frac{533}{210} \\ \\ e) \frac{17}{5} \div ( \frac{20}{3 } - \frac{15}{10} ) = \\ \\ \frac{17}{5} \div ( \frac{20}{3} - \frac{3}{2} ) \\ \\ \frac{17}{5} \div ( \frac{40 - 9}{6}) \\ \\ \frac{17}{5} \div \frac{31}{6} = \frac{102}{155} \\ \\ f ) \\ ( \frac{12}{3} + \frac{9}{26} ) - ( \frac{5}{3} ) + ( \frac{13}{9} ) = \\ \\ (4 + \frac{9}{26} ) - \frac{5}{3} + \frac{13}{9} \\ \\ (\frac{104 + 9}{26}) - \frac{5}{3} + \frac{13}{9} \\ \\ \frac{113}{26} - \frac{5}{3} + \frac{13}{9} \\ \\ \frac{1017 - 390 + 338}{234} = \frac{965}{234}$