Question

Qual o resultado da expressão?
___________2__________
_1_+ _3/4_+ _4_
2/3 3 2/5

Answer 1

Lembrete:

⇒ $\frac{a\div b}{c\div d}=\frac{a}{b}\cdot \frac{d}{c}$

$\frac{2}{\frac{1}{2\div 3}+\frac{3\div 4}{3}+\frac{4}{2\div 5}}\\\frac{2}{\left(\frac{1}{1}\cdot \frac{3}{2}\right)+\left(\frac{3}{4}\cdot \frac{1}{3}\right)+\left(\frac{4}{1}\cdot \frac{5}{2}\right)}\\\frac{2}{\frac{3}{2}+\frac{3}{12}+\frac{20}{2}}\\\frac{2}{\frac{3}{2}+\frac{1}{4}+\frac{20}{2}}\\\frac{2}{\frac{2\cdot 3}{2\cdot 2}+\frac{1}{4}+\frac{2\cdot 20}{2\cdot 2}}\\\frac{2}{\frac{6+1+40}{4}}\\\frac{2}{\frac{47}{4}}\\\frac{2}{1}\cdot \frac{4}{47}\\\boxed{\bold{\frac{8}{47}}}$