Sohan was putting covers on his note books. He put 1/4th of the covers on monday. He put another 1/4th of the covers on tuesday and the remaining on wednesday. What fraction of covers did he put on wednesday?

Respuesta :

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]

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