Question

Tonya uses greatest common Factor and the distributive property to rewrite this sum 96+36

Answer 1

Since 96 and 36 are both divisible by 2, then:

`96+36=2(48+18)`

Since both 48 and 18 are divisible by 2, then:

`2(48+18)=2\cdot2(24+9)=4(24+9)`

Since both 24 and 9 are divisible by 3, then:

`4(24+9)=4\cdot3(8+3)=12(8+3)`

Solve for 12(8+3):

`12(8+3)=12(11)=132`

The greatest common factor of 96 and 36 was 12.