Question

Determinati x din proportia 2 intregi si 1/3/x = 0,5/1 intreg 3/7

Answer 1

[tex]\it 2\dfrac{1}{3} = \dfrac{7}{3} \\\;\\ \\\;\\ 1\dfrac{3}{7} =\dfrac{10}{7} \\\;\\ \\\;\\ 0,5 = \dfrac{1}{2}[/tex]

Proporția devine:

$\it \dfrac{\dfrac{7}{3}}{x}= \dfrac{\dfrac{1}{2}}{\dfrac{10}{7}}$

$\it x = \dfrac{\dfrac{7}{3}\cdot \dfrac{10}{7}}{\dfrac{1}{2}} = \dfrac{\dfrac{10}{3}}{\dfrac{1}{2}} = \dfrac{10}{3}:\dfrac{1}{2} =\dfrac{10}{3}\cdot\dfrac{2}{1} =\dfrac{20}{3} = 6\dfrac{2}{3} \ .$