Question

calcule os quocientes
a)7/5:1/35
b)(-27/65):81/91
c)29/42:(-87/63)
d)(-34/33):(-17/66)

Answer 1

Olá,

na divisão de racionais, conserva a 1a parcela e inverte o numerador com o denominador na 2a parcela, trocando também a operação (para multiplicação)..

$\dfrac{7}{5}\div \dfrac{1}{35}\Rightarrow \dfrac{7}{5}\times \dfrac{35}{1}= \dfrac{245}{5}=49$


$\left(- \dfrac{27}{65}\right)\div \dfrac{81}{91}\Rightarrow \left(- \dfrac{27}{65}\right)\times \dfrac{91}{81}= -\dfrac{2.457}{5.265}$


$\dfrac{29}{42}\div\left(- \dfrac{87}{63}\right)\Rightarrow \dfrac{29}{42}\times\left(- \dfrac{63}{87}\right)= \dfrac{1.827}{3.654}= \dfrac{1.827\div7}{3.654\div7}= \dfrac{261}{522}$


$\left(- \dfrac{34}{33}\right)\div\left(- \dfrac{17}{66}\right)\Rightarrow \left( -\dfrac{34}{33}\right)\times\left( -\dfrac{66}{17}\right)= \dfrac{2.244}{561}$


Tenha ótimos estudos ;D