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A container with 8/9 kilogram of berries is 2/3 full .how many kilograms can the container hold

Sagot :

a WHOLE is always 1, or we can represent it as a fraction like say 5/5 or 19/19 or 1000000/1000000, all equals 1 which is WHOLE.

we know that 8/9 kg is 2/3 full for the container, a "whole" container will then be 3/3 or just 1.

[tex]\begin{array}{ccll} kgs&Full\\ \cline{1-2} \frac{8}{9}&\frac{2}{3}\\[1em] x&\frac{3}{3} \end{array}\implies \cfrac{~~ \frac{8}{9}~~}{x}~~ = ~~\cfrac{~~\frac{2}{3} ~~}{\frac{3}{3}}\implies \cfrac{~~ \frac{8}{9}~~}{\frac{x}{1}}~~ = ~~\cfrac{~~\frac{2}{3} ~~}{1} \\\\\\ \cfrac{8}{9x}=\cfrac{2}{3}\implies 24=18x\implies \cfrac{24}{18}=x\implies \cfrac{14}{9}=x\implies 1\frac{5}{9}=x[/tex]

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