When solving this equation: 4*x/5+3/10=1/2, why do we multiply by 5/4 after we have removed the 3/10?
(4/5)x+ 3/10=1/2 subtract 3/10 from botyh sides
(4/5)x = 1/2 - 3/10
(4/5)x = [10 - 6] / 20
(4/5)x = 4/20
(4/5)x = 1/5 note that we want to get "x" by itself.....the easiest way to do this is to multiply both sides by the reciprocal of 4/5 =5//4....so this leads to
x = (1/5) * (5/4) = 1/4