Verified answer

a) 9/10

b) 14/3

c) 3/4

a) 3/4 ÷ 5/6 = 3/4×6/5 = 3/2×3/5 = 9/10

b) 7/5÷3/10= 7/5×10/3 = 7×2/3 = 14/3

c) 2/3÷8/9= 2/3×9/8 = 3/4

✨✨ Boa Semana

25/09/22

Resposta:

Eis as respostas:

• a) 3/4 ÷ 5/6 = 9/10
• b) 7/5 ÷ 3/10 = 14/3
• c) 2/3 ÷ 8/9 = 3/4

Explicação passo-a-passo:

Vamos proceder aos cálculos solicitados pela Tarefa:

• a) 3/4 ÷ 5/6

[tex] \frac{3}{4} \div \frac{5}{6} = \\ = \frac{3}{4} \times \frac{6}{5} = \\ = \frac{(3 \times 6)}{(4 \times 5)} = \\ = \frac{18}{20} = \\ = \frac{(18 \div 2)}{(20 \div 2)} = \\ = \frac{9}{10} [/tex]

• b) 7/5 ÷ 3/10

[tex] \frac{7}{5} \div \frac{3}{10} = \\ = \frac{7}{5} \times \frac{10}{3} = \\ = \frac{(7 \times 10)}{(5 \times 3)} = \\ = \frac{70}{15} = \\ = \frac{(70 \div 5)}{(15 \div 5)} = \\ = \frac{14}{3} [/tex]

• c) 2/3 ÷ 8/9

[tex] \frac{2}{3} \div \frac{8}{9} = \\ = \frac{2}{3} \times \frac{9}{8} = \\ = \frac{(2 \times 9)}{(3 \times 8)} = \\ = \frac{18}{24} = \\ = \frac{(18 \div 6)}{(24 \div 6)} = \\ = \frac{3}{4} [/tex]