Question

Frações

A) x + x/6 = 14
B) x - x/4 = -20
c) x/2 + x/9 = -2
D) 4-x/9 = x+16/4

Answer 1

A) x + ×/₆ = 14

6x + x 84
_______= ____
6 6

(Cancela os 6)

7x = 84
x= ⁸⁴/₇
x= 12

Answer 2

$a)\\ \\ x+\frac{x}{6} =14\\ \\ mmc=6\\ \\ \frac{6x+x=84}{6} \\ \\ 6x+x=84\\ \\ 7x=84\\ \\ x=\frac{84}{7} \\ \\ x=12\\ \\ b)\\ \\ x-\frac{x}{4} =-20\\ \\ mmc=4\\ \\ \frac{4x-x=-80}{4} \\ \\ 4x-x=-80\\ \\ 3x=-80\\ \\ x=-\frac{80}{3} ~~~~~~~x=26,7~aproximadamente$

$c)\\ \\ \frac{x}{2} +\frac{x}{9} =-2\\ \\ mmc=18\\ \\ \frac{9x+2x=-36}{18} \\ \\ 9x+2x=-36\\ \\ 11x=-36\\ \\ x=-\frac{36}{11} ~~~~~~~~~~~x=3,27~aproximadamente\\ \\ d)\\ \\ 4-\frac{x}{9} =x+\frac{16}{4} \\ \\ obs.:~\frac{16}{4} =4\\ \\ 4-\frac{x}{9} =x+4\\ \\ organize\\ \\ x+\frac{x}{9} =4-4\\ \\ x+\frac{x}{9} =0\\ \\ mmc=9\\ \\ \frac{9x+x=0}{9} \\ \\ 9x+x=0\\ \\ 10x=0\\ \\ x=\frac{0}{10} \\ \\ x=0$