Question

3/7 of a bottle is full.what fraction of the bottle is empty

Answer 1

Answer:

$\frac{4}{7}\text{ fraction of bottle is empty}$.

Step-by-step explanation:

$\text{Given that }\frac{3}{7}\text{ of the bottle is full }$

we have to find the fraction of bottle which is empty.

Let the capacity of bottle is x

[tex{Part of bottle empty+Part of bottle full=Total capacity}[/tex]

∴ $\frac{3}{7}x+\text{part of bottle empty}=x$

$\text{part of bottle empty}=x-\frac{3}{7}x$

$\text{part of bottle empty}=x(\frac{7-3}{7})=\frac{4}{7}x$

$\text{Hence, }\frac{4}{7}\text{ fraction of bottle is empty}$.

Answer 2

Answer:

$Fraction\:of \:the\: bottle \:empty =\frac{4}{7}$

Step-by-step explanation:

$Capacity \: of \: the \: bottle = x$

$Portion \:of \:the \: bottle \: filled = \frac{3x}{7}$

$Portion \:of \:the \: bottle \:empty\\ =x - \frac{3x}{7}\\=\frac{7x-3x}{7}\\=\frac{4x}{7}$

Therefore,

$Fraction\:of \:the\: bottle \:empty =\frac{4}{7}$

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