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Why doesn't the distributive property always work for division?
Wiki User
∙ 10y ago
The distributive property works is defined for multiplication and addition:
a (b + c) = ab + ac
also:
(a + b)c = ac + bc
For a division, it works if you can convert it into a multiplication, in a form similar to the above. For example:
(10 + 2) / 2
can be converted into a multiplication; in this case, dividing by 2 is equivalent to multiplying by 1/2:
(10 + 2) (1/2) = (10 x 1/2) + (2 x 1/2)
If the sum is in the divisor, for example:
15 / (1 + 2)
then there is no way you can convert it into an equivalent multiplication, which conforms to the forms used for the distributive property.
Wiki User
∙ 10y ago
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