Question

se poder simplificar agradeço
me ajudemmmm​

Answer 1

Resposta:

a) 1

c) 3/4

e) 8/15

g) -1/4

l) 8/5

k) 3/10

m) -10

Explicação passo a passo:

a) Qualquer número divido por ele mesmo resulta em 1.

c) 3/8 ÷ 1/2 = 3/8 × 2 = 3/4.

e) 4/5 ÷ 2/3 = 4×2/5×3 = 8/15

g) -3/8 ÷ 3/2 = -1/8 × 2 = -1/4

l) 4/5 ÷ 1/2 = 4/5 × 2 = 8/5

k) 6/5 ÷ 4 = 6/4 × 1/4 = 3/5 × 1/2 = 3×1/5×2 = 3/10

m) 4 ÷ (-2/5) = -4 ÷ 2/5 = -4 × 5/2 = -2 × 5 = -10

Answer 2

$a)\\\frac{2}{3}\div \frac{2}{3}\\\\Aplicar\:as\:propriedades\:\\\\=\frac{2}{3}\times \frac{3}{2}\\\\Multiplicar\:\\\\=\frac{2\times \:3}{3\times \:2}\\\\\mathrm{Eliminar\:o\:fator\:comum:}\:2\\\\=\frac{3}{3}\\\\\mathrm{Eliminar\:o\:fator\:comum:}\:3\\\\=1$

$c)\\\frac{3}{8}\div \frac{1}{2}\\\\Aplicar\:as\:propriedades\\\\=\frac{3}{8}\times \frac{2}{1}\\\\=\frac{3}{4}$

$e)\\\frac{4}{5}\div \frac{3}{2}\\\\=\frac{4}{5}\times \frac{2}{3}\\\\Multiplicar\\\\=\frac{4\times \:2}{5\times \:3}\\\\\mathrm{Multiplicar\:os\:numeros:}\:4\times \:2=8\\\\=\frac{8}{5\times \:3}\\\\\mathrm{Multiplicar\:os\:nu\\meros:}\:5\times \:3=15\\\\=\frac{8}{15}$

$g)\\\frac{\frac{-3}{8}}{\frac{3}{2}}\\\\\frac{-3}{8}=-\frac{3}{8}\\\\=\frac{-\frac{3}{8}}{\frac{3}{2}}\\\\Aplicar\:as\:propriedades\\\\=-\frac{\frac{3}{8}}{\frac{3}{2}}\\\\Aplicar\:as\:propriedades\:\\\\\frac{\frac{3}{8}}{\frac{3}{2}}=\frac{3\cdot \:2}{8\cdot \:3}\\=-\frac{3\cdot \:2}{8\cdot \:3}\\\\Multiplicar\\\\=-\frac{6}{8\cdot \:3}\\\\Multiplicar\:\\\\=-\frac{6}{24}\\\\=-\frac{1}{4}$

$i)\\\frac{\frac{4}{5}}{\frac{1}{2}}\\\\=\frac{4\cdot \:2}{5\cdot \:1}\\\\\mathrm{Aplicar\:a\:regra}\:a\cdot 1=a\\\\=\frac{4\cdot \:2}{5}\\\\\mathrm{Multiplicar\:os\:nu\\meros:}\:4\cdot \:2=8\\\\=\frac{8}{5}$

$k)\\\frac{\frac{6}{5}}{4}\\\\=\frac{6}{5\cdot \:4}\\\\Multiplicar\\\\=\frac{6}{20}\\\\\mathrm{Fatorar\:o\:numero:\:}\:6=2\cdot \:3\\\\=\frac{2\cdot \:3}{20}\\\\=\frac{2\cdot \:3}{2\cdot \:10}\\\\\mathrm{Eliminar\:o\:fator\:comum:}\:2\\\\=\frac{3}{10}$

$m)\\\frac{4}{\frac{-2}{5}}\\\\\frac{-2}{5}=-\frac{2}{5}\\\\=\frac{4}{-\frac{2}{5}}\\\\Aplicar\:as\:propriedades\:\\\frac{4}{\frac{2}{5}}=\frac{4\cdot \:5}{2}\\\\=-\frac{4\cdot \:5}{2}\\\\\mathrm{Multiplicar\:os\:numeros:}\\\\=-\frac{20}{2}\\\\\mathrm{Dividir:}\:\frac{20}{2}=10\\\\=-10$