Respuesta :

Answer:

[tex]Empty = \frac{5}{12}[/tex]

Step-by-step explanation:

Given

[tex]Water = \frac{1}{3}[/tex]

[tex]Oil = \frac{1}{4}[/tex]

Required

The fraction that is empty

The constituent of the water can be represented as:

[tex]Water + Oil + Empty = 1[/tex]

Make Empty the subject

[tex]Empty = 1 - Water - Oil[/tex]

Substitute values for Water and Oil

[tex]Empty = 1 - \frac{1}{3} - \frac{1}{4}[/tex]

Take LCM

[tex]Empty = \frac{12 - 4 - 3}{12}[/tex]

[tex]Empty = \frac{5}{12}[/tex]