Question

continuação
se poder simplificar agradeço​

Answer 1

Resposta:

b) 1/1

c) 2

f) 2

h) 5/8

j) 9

i) 4

n) -3/-20

Explicação passo a passo:

Quando a uma divisão entre frações você inverte a segunda fração e multiplica pela primeira.

Video de ajuda: https://www.youtube.com/watch?v=2VI9PGctYQA

Answer 2

$b)\\\frac{2}{3}\div \frac{1}{3}\\\\=\frac{2}{3}\times \frac{3}{1}\\\\\mathrm{Faca\:o\:cancelamento\:cruzado:}\:3\\\\=\frac{2}{1}\\\\=2$

$d)\\\frac{1}{2}\div \frac{1}{4}\\\\=\frac{1}{2}\times \frac{4}{1}\\\\\mathrm{Faca\:o\:cancelamento\:cruzado\:do\:fator\:comum:}\:2\\\\=\frac{2}{1}\\\\=2$

$f)\\\frac{\frac{-2}{3}}{\frac{-1}{3}}\\\\=\frac{-\frac{2}{3}}{-\frac{1}{3}}\\\\=\frac{-\frac{2}{3}}{-\frac{1}{3}}\\\\=\frac{\frac{2}{3}}{\frac{1}{3}}\\\\=\frac{2\cdot \:3}{3\cdot \:1}\\\\=\frac{2\cdot \:3}{3}\\\\\mathrm{Eliminar\:o\:fator\:comum:}\:3\\\\=2$

$h)\\\frac{\frac{3}{4}}{\frac{-6}{5}}\\\\\frac{-6}{5}=-\frac{6}{5}\\\\=\frac{\frac{3}{4}}{-\frac{6}{5}}\\\\=-\frac{\frac{3}{4}}{\frac{6}{5}}\\\\Aplicar\:as\:propriedades\:\\\\\frac{\frac{3}{4}}{\frac{6}{5}}=\frac{3\cdot \:5}{4\cdot \:6}\\\\=-\frac{3\cdot \:5}{4\cdot \:6}\\\\\mathrm{Multiplicar\:os\:numeros:}\:3\cdot \:5=15\\\\=-\frac{15}{4\cdot \:6}\\\\\mathrm{Multiplicar\:os\:numeros:}\:4\cdot \:6=24\\=-\frac{15}{24}\\\\\mathrm{Fatorar\:o\:numero:\:}\:15=3\cdot \:5$

$=-\frac{3\cdot \:5}{24}\\\\\mathrm{Fatorar\:o\:numero:\:}\:24=3\cdot \:8\\\\=-\frac{3\cdot \:5}{3\cdot \:8}\\\\\mathrm{Eliminar\:o\:fator\:comum:}\:3\\\\=-\frac{5}{8}$

$j)\\3\div \frac{1}{3}\\\\=\frac{3}{1}\div \frac{1}{3}\\\\Aplicar\:as\:propriedades\\\\=\frac{3}{1}\times \frac{3}{1}\\\\\mathrm{Aplicar\:a\:regra}\:\frac{a}{1}=a\\\\=3\times \:3\\\\\mathrm{Multiplicar\:os\:numeros:}\:3\times \:3=9\\\\=9$

$i)\\\frac{-6}{\frac{3}{2}}\\\\=-\frac{6}{\frac{3}{2}}\\\\\frac{6}{\frac{3}{2}}=\frac{6\cdot \:2}{3}\\\\=-\frac{6\cdot \:2}{3}\\\\Multiplicar\:\\\\=-\frac{12}{3}\\\\\frac{12}{3}=4\\\\=-4$

$n)\\\frac{\frac{-3}{4}}{-5}\\\\=-\frac{\frac{-3}{4}}{5}\\\\\frac{-3}{4}=-\frac{3}{4}\\\\=-\frac{-\frac{3}{4}}{5}\\\\Aplicar\:as\:propriedades\\\\=\frac{\frac{3}{4}}{5}\\\\Aplicar\:as\:propriedades\\\\=\frac{3}{4\cdot \:5}\\\\Multiplicar\:\\\\=\frac{3}{20}$