7 over 12 = 3m over 6-m over +1 over 4

Question

i dont get how to slove the question how am i suppoesd to show my work when  i dont know how to do it

Answer 1

Do you mean 7/12=(3m/(6-m))/((m+1)/4)? (there seems to be an m missing in your question).

7/12=(3m/(6-m))/((m+1)/4)=4(3m/(6-m))/(m+1)=(12m/(6-m))/(m+1),

7(m+1)=12×12m/(6-m) (cross-multiplication), 

7(m+1)(6-m)=144m,

7(6m+6-m²-m)=144m,

7(5m+6-m²)=144m,

35m+42-7m²=144m,

42=7m²+109m,

7m²+109m-42=0,

m=(-109±√(11881+1176))/14=(-109±√13057)/14, m=-15.9477 or 0.3762. This answer seems unlikely because of its complexity and irrationality. Please check your question.

If the question had been to solve:

7/12=(3m/(6-m))/(+¼) then:

7/12=(3m/(6-m))/(1/4)=4(3m/(6-m))=(12m/(6-m)), cross-multiplying:

7(6-m)=144m,

42-7m=144m

151m=42, m=42/151. This still seems to be an awkward answer, but easier to solve.