Question

Please help me to solve this problem: 2/3-1/4+3/5-5/6=

Answer 1

Answer:
`(11)/(60)`

Explanation:

`(2)/(3) -(1)/(4) +(3)/(5) -(5)/(6)`

Need a common denominator; the LCD of 3, 4, 5, and 6 is: 60

`(2)/(3)((20)/(20)) -(1)/(4)((15)/(15)) +(3)/(5)((12)/(12)) -(5)/(6)((10)/(10))`

=
`(40)/(60) -(15)/(60) +(36)/(60) -(50)/(60)`

=
`(40-15+36-50)/(60)`

=
`(11)/(60)`