Respuesta :
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.
[tex]Solution, \frac{1}{6}+\frac{2}{3}+\frac{1}{4}=\frac{13}{12}\quad \left(\mathrm{Decimal:\quad }\:1.08333\dots \right)[/tex]
[tex]Steps:[/tex]
[tex]\frac{1}{6}+\frac{2}{3}+\frac{1}{4}[/tex]
[tex]\mathrm{Least\:Common\:Multiplier\:of\:}6,\:3,\:4:\quad 12[/tex]
[tex]\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM},\\\frac{2}{12}+\frac{8}{12}+\frac{3}{12}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c},\\\frac{2+8+3}{12}[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:2+8+3=13,\\\frac{13}{12}[/tex]
[tex]The\:Correct\:Answer\:Is\:\frac{13}{12}[/tex]
[tex]Hope\:This\:Helps!!![/tex]
[tex]-Austint1414[/tex]