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Which shows the GCF of 18 and 24 with 18/24 in simplest form? (A) GCF: 3; 3/4 (B) GCF: 3; 6/8 (C) GCF: 6; 3/4 (D) GCF: 6; 6/8

Sagot :

The answer is c because if you find the GCF it's 6 then you divide 18 and 24 by 6 and get 3/4... Answer is C
pierinagiusiano

Answer:

(C) GCF: 6; [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The greatest common factor, or GCF, is the greatest factor that divides two numbers.

We have to list all the factors for 18 and 24:

The factors of 18 are: {1,2,3,6,9,18}

The factors of 24 are: {1,2,3,4,6,12,24}

We can see that the largest number that is common to both is 6.

Then,

G.C.F. (18,24)=6

Knowing this we can simplify [tex]\frac{18}{24}[/tex]

[tex]\frac{18}{24} =\frac{6.3}{6.4} =\frac{6}{6}  .\frac{3}{4} =\frac{3}{4}[/tex]

Then the right answer is (C). The greatest common factor is 6 and the simplest form of [tex]\frac{18}{24}[/tex] is [tex]\frac{3}{4}[/tex].

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