Kaia rewrote the sum 96+12 as 12(8 +1). She used the same method to rewrite the sum 95+ 15 as 5(19 + 3). Describe her method and tell whether she can use it to rewrite the sum 38+ 11. Explain.
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Since we have given that
96+12 is written as 12(8+1)
Similarly,
95+15 is written as 5(19+3)
Her method is taking the common factor from the terms in the each expression and wrote it.
As we can see that in first expression i.e. 96+12
96 and 12 both are factors of 12 .
So, common factor is 12 only ,
Similarly in second expression i.e.95+15
95 and 15 both are factors of 5.
So, common factor will be 5 only.
But in this expression i.e.
38+11
Both 38 and 11 are coprime means they are relative prime . so they do not have any common factor inspite of 1 only.
So, she can't use it to rewrite the sum 38+11.
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