Question

Efetue os cálculos, simplificando-os quando possível. a) 7:1/3 b) 2:4/5 c) 3/8:6 d) 10/9:5 e) 2/5:6/7 f) 8/5:2/15

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{a)\:7 \div \dfrac{1}{3} = \dfrac{7}{1} \times \dfrac{3}{1} = \dfrac{7 \times 3}{1 \times 1} = 21}$

$\mathsf{b)\:2 \div \dfrac{4}{5} = \dfrac{2}{1} \times \dfrac{5}{4} = \dfrac{2 \times 5}{1 \times 4} = \dfrac{10}{4} = \dfrac{5}{2}}$

$\mathsf{c)\:\dfrac{3}{8} \div 6 = \dfrac{3}{8} \times \dfrac{1}{6} = \dfrac{3 \times 1}{8 \times 6} = \dfrac{3}{48} = \dfrac{1}{16}}$

$\mathsf{d)\:\dfrac{10}{9} \div 5 = \dfrac{10}{9} \times \dfrac{1}{5} = \dfrac{10 \times 1}{9 \times 5} = \dfrac{10}{45} = \dfrac{2}{9}}$

$\mathsf{e)\:\dfrac{2}{5} \div \dfrac{6}{7} = \dfrac{2}{5} \times \dfrac{7}{6} = \dfrac{2 \times 7}{5 \times 6} = \dfrac{14}{30} = \dfrac{7}{15}}$

$\mathsf{f)\:\dfrac{8}{5} \div \dfrac{2}{15} = \dfrac{8}{5} \times \dfrac{15}{2} = \dfrac{8 \times 15}{5 \times 2} = \dfrac{120}{10} = 12}$

Answer 2

Resposta:

a) 7:1/3 =7*3=21

b) 2:4/5  =2*(5/4) =5/2

c) 3/8:6  

deveria ter sido escrito assim  (3/8):6 = (3/8):(6/1)=(3/8)*(1/6)=3/48=1/16

d) 10/9:5

(10/9):5 = (10/9):(5/1) =(10/9)*(1/5)= 2/9

e) 2/5:6/7  =(2/5)*(7/6) =7/15

f) 8/5:2/15  =(8/5):(2/15) =(8/5)*(15/2) =(4/1)*3=12