Answer:
[tex]Wednesday = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]Monday = \frac{1}{4}[/tex]
[tex]Tuesday = \frac{1}{4}[/tex]
[tex]Wednesday = Others[/tex]
Required
Determine the fraction of Wednesday
The summation of fractions on each day must be equal to 1.
So:
[tex]Monday + Tuesday + Wednesday = 1[/tex]
Substitute values for Monday and Tuesday
[tex]\frac{1}{4} +\frac{1}{4} +Wednesday = 1[/tex]
Collect Like Terms
[tex]Wednesday = 1 - \frac{1}{4} -\frac{1}{4}[/tex]
Take LCM
[tex]Wednesday = \frac{4 - 1 - 1}{4}[/tex]
[tex]Wednesday = \frac{4 - 2}{4}[/tex]
[tex]Wednesday = \frac{2}{4}[/tex]
Simplify fraction
[tex]Wednesday = \frac{1}{2}[/tex]