Question

Calcule as operaçoes abaixo.VALENDO 35 PONTOS
a]3/2 : 2/3
b}1/3 : 4/6
c}3/4 : 5/6
d}1/2 : 1/3 : 1/5

Answer 1

Repete a primeira e multiplica pelo inverso da segunda

a) $\dfrac{3}{2}\div\dfrac{2}{3}=\dfrac{3}{2}\cdot\dfrac{3}{2}=\dfrac{9}{4}$

b) $\dfrac{1}{3}\div\dfrac{4}{6}=\dfrac{1}{3}\cdot\dfrac{6}{4}=\dfrac{6}{12}=\dfrac{1}{2}$

c) $\dfrac{3}{4}\div\dfrac{5}{6}=\dfrac{3}{4}\cdot\dfrac{6}{5}=\dfrac{18}{20}=\dfrac{9}{10}$

d) $\dfrac{1}{2}\div\dfrac{1}{3}\div\dfrac{1}{5}=\dfrac{1}{2}\cdot3\cdot5=\dfrac{15}{2}$

Answer 2

Resposta:

a) 9/4

b) 1/2

c) 9/10

d) 15/2

Explicação passo-a-passo:

é a primeira fração vezes o inverso da segunda:

a) 3/2 . 3/2

3 . 3/ 2 . 2 = 9/4

b) 1/3 . 6/4

1 . 6/3 . 4 = 6/12 = 3/6 = 1/2

c) 3/4 . 6/5

3 . 6/4 . 5 = 18/20 = 9/10

d) 1/2 . 3/1 . 5/1

1 . 3 . 5/ 2 . 1 . 1 = 15/2