Question

16/3+2/3+8/3 *
(-6/9)+(-14/9)+(-2/9) *
(5/8)+(4/3)+(1/2) *
(-5/2)+(-3/4)+(7/3) *
(-9/4)+(3/5)+(4/6) *
(12/13)+(21/13)+(3/13) *
(-5/12)+(-12/5)+(2/3) *
(-4/3)+(-11/3)+(-8/3) *
(4/6)+(-1/5)+(2/4) *
(1/8)+(-5/7)+(2/3) *
(-15/4)+(-8/12) *

Answer 1

Explicación paso a paso:

La suma o resta de fracciones es una de las operaciones básicas que permite combinar dos o más fracciones

$\frac{16}{3} + \frac{2}{3}+ \frac{8}{3}=\frac{(16)(1) +(2)(1) +(8)(1) }{3} =\frac{16+2+8}{3} =\frac{26}{3} \\\\\frac{-6}{9} + \frac{-14}{9}+ \frac{-2}{9}=\frac{(-6)+(-14)+(-2)}{9} =\frac{-22}{9} \\\\\frac{5}{8} + \frac{4}{3}+ \frac{1}{2}=\frac{(5)(3) +(4)(8) +(1)(12) }{24} =\frac{15+32+12}{24} =\frac{59}{24}\\\\ \frac{-5}{2} + \frac{-3}{4}+ \frac{7}{3}=\frac{(-5)(6) +(-3)(3) +(7)(4) }{12} =\frac{-30-9+28}{12} =\frac{-11}{12}$

$\frac{-9}{4} + \frac{3}{5}+ \frac{4}{6}=\frac{(-9)(15) +(3)(12) +(4)(10) }{60} =\frac{-135+36+40}{60} =\frac{-59}{60} \\\\\frac{12}{13} + \frac{21}{13}+ \frac{3}{13}=\frac{(12)+(21)+(3)}{13} =\frac{36}{13} \\\\\frac{-5}{12} + \frac{-12}{5}+ \frac{2}{3}=\frac{(-5)(5) +(-12)(12) +(2)(20) }{60} =\frac{-25-144+40}{60} =\frac{-129}{60} =\frac{-43}{20} \\\\\frac{4}{6} + \frac{-1}{5}+ \frac{2}{4}=\frac{(4)(10) +(-1)(12) +(2)(15) }{60} =\frac{40-12+30}{60} =\frac{58}{60} =\frac{29}{30}$

$\frac{1}{8} + \frac{-5}{7}+ \frac{2}{3}=\frac{(1)(21) +(-5)(24) +(2)(56) }{168} =\frac{21-120+112}{168} =\frac{13}{168} \\\\\frac{-15}{4} + \frac{-8}{12}=\frac{(-15)(3) + (-8)(1) }{12} =\frac{-45-8}{12} =\frac{-53}{12}$