Question

Calcule as expressões abaixo e simplifique o resultado quando possível. a) 1/2+3/2= b) 4/6−1/6= c) 3/4+ 1 = d) 2 −2/5= e)1/8+3/2= f) 4/9−1/5=

Answer 1

a)

= 1/2 + 3/2

= (1 + 3)/2

= 4/2

= 2

b)

= 4/6 - 1/6

= (4 - 1)/6

= 3/6 : (3)

= 1/2

= 0,5

c)

= 3/4 + 1

= 3/4 + 1/1

mmc(1 , 4) = 4

= 3/4 + (1 . 4)/(1 . 4)

= 3/4 + 4/4

= (3 + 4)/4

= 7/4

= 1,75

d)

= 2 - 2/5

= 2/1 - 2/5

mmc(1 , 5) = 5

= (2 . 5)/(1 . 5) - 2/5

= 10/5 - 2/5

= (10 - 2)/5

= 8/5

= 1,6

e)

= 1/8 + 3/2

mmc(2 , 4) = 8

= 1/8 + (3 . 4)/(2 . 4)

= 1/8 + 12/8

= (1 + 12)/8

= 13/8

= 1,625

f)

= 4/9 - 1/5

mmc(5 , 9) = 45

= (4 . 5)/(9 . 5) - (1 . 9)/(5 . 9)

= 20/45 - 9/45

= (20 - 9)/45

= 11/45

≊ 0,244...

Answer 2

Explicação passo-a-passo:

$a) \frac{1}{2} + \frac{3}{2} = \frac{1 + 3}{2} = \frac{4}{2} = 2$

$b) \frac{4}{6} - \frac{1}{6} = \frac{4 - 1}{6} = \frac{3}{6} = \frac{1}{2}$

$c) \frac{3}{4} + 1 = \frac{3 + 4}{4} = \frac{7}{4}$

$d)2 - \frac{2}{5} = m.m.c = 5$

$\frac{10 - 2}{5} = \frac{8}{5}$

$e) \frac{1}{8} + \frac{3}{2} = m.m.c = 8$

$\frac{1 + 12}{8} = \frac{13}{8}$

$f) \frac{4}{9} - \frac{1}{5} = m.m.c = 45$

$\frac{20 - 9}{45} = \frac{11}{45}$