Question

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= ?

Answer 1

match your blanks to the solution below

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.

`4*(3)/(4)=4*\left(3*(1)/(4)\right)\\\\=(4*3)*(1)/(4)\\\\=12*(1)/(4)=(12)/(4)=3`

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Additional comment

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

`4*(3)/(4)=4*\left(3*(1)/(4)\right)\\\\=3*\left(4*(1)/(4)\right)\\\\=3*(4)/(4)=3*1=3`