Because of the commutative property of multiplication, it is true that
3
4
×
4
=
4
×
3
4
3
4
×
4
=
4
×
3
4
. However, these expressions can be calculated in different ways even though the solutions will be the same.
Below, show two different ways of solving this problem.
First, show how
3
4
×
4
can be solved using repeated addition
To solve 3/4 x 4 using repeated addition, we can add 3/4 four times:
3/4 + 3/4 + 3/4 + 3/4 = 12/4
Simplifying 12/4, we get:
3
Therefore, 3/4 x 4 = 3.
Next, show how
4
×
3
4
can be solved using fraction multiplication:
To solve 4 x 3/4 using fraction multiplication, we can multiply the numerators and denominators separately:
4 x 3 = 12
4 x 4 = 16
Simplifying 12/16, we get:
3/4
Therefore, 4 x 3/4 = 3.
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