Question

Resolva as seguintes operações com fração:
a) 1/5 + 2/3 b) 7/2 . 2/3 c) 3/5 : ( 8/5 -4/5 ) d) -23 + 72 -1/6 e) 5/4:1/3

f) -1/5 ( 8/3 -3) g) 7 : 1/4 h) {3+ [1/12 -3/2 ( 7/2 - 5/3 ) - 3/4 ] }

AJUDEM POR FAVOR!!! É PRA HOJE!!!

Answer 1

$a)\\1/5+2/3\\\\=\frac{1}{5}+2/3\\\\=\frac{1}{5}+\frac{2}{3}\\\\=\frac{13}{15}$  

    $b)\\7/2\cdot \:2/3\\\\=\frac{7}{2}\cdot \:2/3\\\\=7/3\\\\=\frac{7}{3}\\\\=2\frac{1}{3}$    

  $c)\\3/5\div \left(8/5-4/5\right)\\\\=3/5\div \frac{4}{5}\\\\=\frac{3}{4}$      

 $d)\\-23+72-1/6\\\\=-23+72-\frac{1}{6}\\\\=\frac{293}{6}\\\\=48\frac{5}{6}$

$e)\\5/4\div \:1/3\\\\=\frac{5}{4}\div \:1/3\\\\=\frac{5}{4}/3\\\\=\frac{5}{12}$      

      $f)\\-1/5\left(8/3-3\right)\\\\-1/5\left(8/3-3\right)\\\\=\frac{1}{15}$      

   $g)\\7\div \:1/4\\\\=7/4\\\\=\frac{7}{4}\\\\=1\frac{3}{4}$      

$h)\\3+\left[1/12-3/2\left(7/2-5/3\right)-3/4\right]\\\\=1/12-3/2\cdot \frac{11}{6}-3/4\\\\=\frac{1}{12}-3/2\cdot \frac{11}{6}-3/4\\\\=\frac{1}{12}-\frac{11}{4}-3/4\\\\\frac{1}{12}-\frac{11}{4}-\frac{3}{4}\\\\=-\frac{41}{12}\\\\=3-\frac{41}{12}\\\\3-\frac{41}{12}\\\\=-\frac{5}{12}\\\\---\\\\=-\frac{5}{12}$

Answer 2

Resposta:

a) 13/15

b) 7/3

c) 3/4

d) 293/6

e) 15/4

f) 1/15

g) 28

h) -5/12

Explicação passo a passo:

a) 1/5 + 2/3 = (3 + 10)/15 = 13/15

b) 7/2 . 2/3 = 14/6 = 7/3

c) 3/5 : (8/5 -4/5) = 3/5 : (8-4)/5 = 3/5 : 4/5 = 3/5 x 5/4 = 15/20 = 3/4

d) -23 + 72 -1/6 = (-138 + 432 - 1)/6 = 293/6

e) 5/4 : 1/3 = 5/4 x 3 = 15/4

f) -1/5 x ( 8/3 -3) = -1/5 x (8 - 9)/3 = -1/5 x (-1/3) = 1/15

g) 7 : 1/4 = 7 x 4 = 28

h) {3 + [1/12 - 3/2 (7/2 - 5/3) - 3/4 ] } = {3 + [1/12 - 3/2 (21/6 - 10/6) - 3/4 ] } =

{3 + [1/12 -3/2 (11/6) - 3/4 ] } = {3 + [1/12 - 33/12 - 3/4 ] } = {3 + [1/12 - 33/12 - 9/12 ] } = {3 - 41/12 } = {36/12 - 41/12} = -5/12