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

User Paul Holden
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1 Answer

18 votes
18 votes

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.

User Ian McGrath
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