Question

1- Efetue as divisões:

a- (x²÷5x) / (4÷y)=

b-(2x÷5y) / (3÷7)=

c-(x²/4) ÷ (5x/y)=

d- (2x/3) ÷ (5y/7)=
​

Answer 1

Explicação passo-a-passo:

a)

$\sf \dfrac{x^2}{5x}\div\dfrac{4}{y}$

$\sf =\dfrac{x^2}{5x}\cdot\dfrac{y}{4}$

$\sf =\dfrac{x^2y}{20x}$

$\sf =\dfrac{x^2y\div x}{20x\div x}$

$\sf =\red{\dfrac{xy}{20}}$

b)

$\sf \dfrac{2x}{5y}\div\dfrac{3}{7}$

$\sf =\dfrac{2x}{5y}\cdot\dfrac{7}{3}$

$\sf =\red{\dfrac{14x}{15y}}$

c)

$\sf \dfrac{x^2}{4}\div\dfrac{5x}{y}$

$\sf =\dfrac{x^2}{4}\cdot\dfrac{y}{5x}$

$\sf =\dfrac{x^2y}{20x}$

$\sf =\dfrac{x^2y\div x}{20x\div x}$

$\sf =\red{\dfrac{xy}{20}}$

d)

$\sf \dfrac{2x}{3}\div\dfrac{5y}{7}$

$\sf =\dfrac{2x}{3}\cdot\dfrac{7}{5y}$

$\sf =\red{\dfrac{14x}{15y}}$