Kevin gave 5/12 of his candy bar to Emily and 1/2 of his candy bar to David. How much of the candy bar does Kevin have left for himself? Your answer should be in the form of a simplified fraction. *

Respuesta :

Answer:

[tex]Fraction\ Left = \frac{1}{12}[/tex]

Step-by-step explanation:

Given

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

[tex]David = \frac{1}{2}[/tex]

Required

Determine the fraction left

The whole candy will be represented with 1:

So:

[tex]Emily + David + Fraction\ Left = 1[/tex]

This gives:

[tex]\frac{5}{12} + \frac{1}{2} + Fraction\ Left = 1[/tex]

Collect Like Terms

[tex]Fraction\ Left = 1 -\frac{5}{12} - \frac{1}{2}[/tex]

Take LCM

[tex]Fraction\ Left = \frac{12 - 5 - 6}{12}[/tex]

[tex]Fraction\ Left = \frac{1}{12}[/tex]

Hence, the fraction left is 1/12

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