Question

Solve Each Equation by first clearing the fractions or decimals. Show all work
1/3-1/2m=1/6m+7/9

Answer 1

\[\frac{ 1 }{ 3 }-\frac{ 1 }{ 2 }m=\frac{ 1 }{ 6 }m +\frac{ 7 }{ 9 }\]

Answer 2

add (1/2)m to both sides
1/3 = 1/6m + 1/2m + 7/9
subtract 7/9 from both sides
1/3 - 7/9 = 1/6m + 1/2m
make the denominators the same
3/9 - 7/9 = 1/6m + 3/6m
add and subtract
-4/9 = 4/6m
divide 4/6 from both sides (the same as multiplying each side by the reciprocal)
(-4/9)*(6/4) = m
-24/36 = m

simplify

-2/3 = m