Question

He sum of 1/6, 2/3, and 1/4 is

Answer 1

`Solution, (1)/(6)+(2)/(3)+(1)/(4)=(13)/(12)\quad \left(\mathrm{Decimal:\quad }\:1.08333\dots \right)`

`Steps:`

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

`\mathrm{Least\:Common\:Multiplier\:of\:}6,\:3,\:4:\quad 12`

`\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM},\\(2)/(12)+(8)/(12)+(3)/(12)`

`\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad (a)/(c)\pm (b)/(c)=(a\pm \:b)/(c),\\(2+8+3)/(12)`

`\mathrm{Add\:the\:numbers:}\:2+8+3=13,\\(13)/(12)`

`The\:Correct\:Answer\:Is\:(13)/(12)`

`Hope\:This\:Helps!!!`

`-Austint1414`

Answer 2

The LCD here is 12. Th,us, 1/6, 2/3 and 1/4 become:

2/12, 8/12 and 3/12.

Their sum is 13/12, or 1 1/12.