Adam wants to compare the fractions 3/12,1/6, and 1/3. he wants to order them from least to greatest and rewrite them so they all have the same denominator. explain how adam can rewrite the fractions

3/12; 1/6; 1/3

Adam must first get the least common multiple of each denominator.

12 : 12, 24, 36

6 : 6, 12, 18

3 : 3, 6, 9, 12

12 is the least common denominator.

We, then, multiply each denominator by a number that will produce 12.

12 x 1 = 12

6 x 2 = 12

3 x 4 = 12

Each number multiplied to the denominator must be the number used to multiply each numerator.

3/12 * 1/1 = 3/12

1/6 * 2/2 = 2/12

1/3 * 4/4 = 4/12

Since they now share a common denominator, the numerator will become the basis of the fraction's value. The greater the numerator, the greater the fraction's value.

Fractions in order from least to greatest = 2/12; 3/12; 4/12

Substitute each fraction with its original fraction:

2/12 ⇒ 1/6 : least

3/12 ⇒ 3/12 : middle

4/12 ⇒ 1/3 : greatest