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1 Answer
- ?Lv 74 years agoFavorite Answer
Because dividing by 4 is the same as multiplying by 1/4
and multiplication is associative and commutative, i.e.
(a * b) * c = a * (b * c) = a * (c * b) = (a * c) * b
(a * b) * c = (a * c) * b
Let a = 3, b = y, c = 1/4
(3 * y) * 1/4 = (3 * 1/4) * y
(3y)/4 = (3/4)y
You can always check with a numeric example (although this is not a proof):
y = 20
(3y)/4 = (3*20)/4 = 60/4 = 15
(3/4)y = (3/4)*20 = 0.75*20 = 15
Pick any number for y. (3y)/4 will always be equal to (3/4)y