Isaac is multiplying 4 x 3/4. His work
is shown below. Fill in the missing
numbers to complete the problem.
4* 3/4= ?* [? *1/4).
= ( ?* ?) * 1/4
= ?* 1/4 = ? /4= ?

Respuesta :

Answer:

  match your blanks to the solution below

Step-by-step explanation:

The multiplication of an integer and a fraction has you multiply the integer by the numerator, then express the result over the denominator. At that point, you can reduce the fraction, if possible.

  [tex]4\times\dfrac{3}{4}=4\times\left(3\times\dfrac{1}{4}\right)\\\\=(4\times3)\times\dfrac{1}{4}\\\\=12\times\dfrac{1}{4}=\dfrac{12}{4}=3[/tex]

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Additional comment

Because multiplication is commutative and associative, this can be done in a way that is a little simpler.

  [tex]4\times\dfrac{3}{4}=4\times\left(3\times\dfrac{1}{4}\right)\\\\=3\times\left(4\times\dfrac{1}{4}\right)\\\\=3\times\dfrac{4}{4}=3\times1=3[/tex]