Question

Multiplique as frações, simplificando quando possivel:
a)1/2×3/6=
b)4/3×3/5=
c)5/3×4/10=
d)8/10×5/6=
e)(5/6)²=
f)(3/10)²=
g)(1/2)⁴=
h)(3/2)³=

Answer 1

a)

$\frac{1}{2} \times \frac{3}{6}$

$\frac{1}{2} \times \frac{1}{2}$

$\frac{1}{4}$

b)

$\frac{4}{3} \times \frac{3}{5}$

$4 \times \frac{1}{5}$

$\frac{4}{5}$

c)

$\frac{5}{3} \times \frac{4}{10}$

$\frac{1}{3} \times \frac{4}{2}$

$\frac{1}{3} \times 2$

$\frac{2}{3}$

d)

$\frac{8}{10} \times \frac{5}{6}$

$\frac{4}{2} \times \frac{1}{3}$

$2 \times \frac{1}{3}$

$\frac{2}{3}$

e)

$( \frac{5}{6} {)}^{2}$

$\frac{ {5}^{2} }{ {6}^{2} }$

$\frac{25}{36}$

f)

$( { \frac{3}{10} )}^{2}$

$\frac{ {3}^{2} }{ {10}^{2} }$

$\frac{9}{100}$

g)

$( \frac{1}{2} {)}^{4}$

$\frac{ {1}^{4} }{ {2}^{4} }$

$\frac{1}{16}$

h)

${( \frac{3}{2}) }^{3}$

$\frac{ {3}^{3} }{ {2}^{3} }$

$\frac{27}{8}$

Answer 2

a) 1/4

b) 4/5

c) 2/3

d) 2/3

e) 25/36

f) 9/100

g) 1/16

h) 27/8

a) 1/2 × 3/6 = 3/12; 3/12 ÷ 3 = 1/4

b) 4/3 × 3/5 = 12/15; 12/15 ÷ 3 = 4/5

c) 5/3 × 4/10 = (1/3) × (4/2); (1/3) × (4/2) = (1/3) × (2/1); (1/3) × (2/1) = 2/3

d) 8/10 × 5/6 = (8/2) × (1/6); (8/2) × (1/6) = (4/1) × (1/6); (4/1) × (1/6) = 4/6; 4/6 ÷ 2 = 2/3

e) (5/6)^2 = (5/6) × (5/6); (5/6) × (5/6) = 25/36

f) (3/10)^2 = (3/10) × (3/10); (3/10) × (3/10) = 9/100

g) (1/2)^4 = (1/2) × (1/2) × (1/2) × (1/2); (1/2) × (1/2) × (1/2) × (1/2) = 1/16

h) (3/2)^3 = (3/2) × (3/2) × (3/2); (3/2) × (3/2) × (3/2) = 27/8

Espero que tenha ajudado!