Question

What is the least common denominator of this equation

Answer 1

5

Explanation:

`(5)/(6) x - (1)/(10) x = (2)/(15) \\ (50x - 6x)/(60) = (2)/(15) (criss \: cross) \\ (44x)/(60) = (2)/(15 ) \\ (11x)/(15) = (2)/(15) (simplify) \\ 165x = 30(criss \: cross) \\ x = (30)/(165) = (6)/(33) = (2)/(11) \\ x = (2)/(11)`

Answer 2

LCD = 30

Explanation:

`(5)/(6)` x -
`(1)/(10)` x =
`(2)/(15)`

Multiply through by 30 ( the LCM of 6, 10, 15 ) to clear the fractions

25x - 3x = 4

22x = 4 ( divide both sides by 22 )

x =
`(4)/(22)` =
`(2)/(11)`