benjamezalemillisi benjamezalemillisi

02-01-2017
Mathematics

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What k-1/3=5/6 equal ?

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dexteright02 dexteright02

02-01-2017

The value of "K"

[tex]k -\frac{1}{3} = \frac{5}{6} [/tex]

MMC (3,6)
3,6 | 3
1,2 | 2
1,1 |__ 3*2 = 6

Solving:
[tex]k -\frac{1}{3} = \frac{5}{6} [/tex]
[tex] \frac{6k}{6} - \frac{2}{6} = \frac{5}{6} [/tex]
cancel denominators (6)
[tex]6k - 2 = 5[/tex]
[tex]6k = 5+2[/tex]
[tex]6k = 7[/tex]
[tex]\boxed{k = \frac{7}{6} }[/tex]

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