# Answer to Question #4469 in Abstract Algebra for Auralina

Question #4469

Through this chapter,you will be using and comparing fractions and decimals.Cicle all of the fractions below that are equal to 1/2.

6/12 15/30 4/7 5/10 1/3 2/3 9/12 7/14

6/12 15/30 4/7 5/10 1/3 2/3 9/12 7/14

Expert's answer

The rule we may use is

(ac)/(bc) = a/b (for “c” that isn’t zero)

So, let’s start.

6/12 = (6x1)/(6x2) = 1/2

15/30 = (15x1)/(15x2) = 1/2

4/7 isn’t equal to 1/2

5/10 = (5x1)/(5x2) = 1/2

1/3 isn’t equal to 1/2

2/3 isn’t equal to 1/2

9/12 = (3x3)/(3x4) = 3/4 isn’t equal to 1/2

7/14 = (7x1)/(7x2) = 1/2

Thus, 6/12, 15/30, 5/10 and 7/14 are equal to 1/2

(ac)/(bc) = a/b (for “c” that isn’t zero)

So, let’s start.

6/12 = (6x1)/(6x2) = 1/2

15/30 = (15x1)/(15x2) = 1/2

4/7 isn’t equal to 1/2

5/10 = (5x1)/(5x2) = 1/2

1/3 isn’t equal to 1/2

2/3 isn’t equal to 1/2

9/12 = (3x3)/(3x4) = 3/4 isn’t equal to 1/2

7/14 = (7x1)/(7x2) = 1/2

Thus, 6/12, 15/30, 5/10 and 7/14 are equal to 1/2

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