Question

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

Answer 1

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