Adam wants to compare the fraction 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
1/6 = 2/12
1/3 = 4/12
To compare the fractions 3/12, 1/6, and 1/3 and rewrite them with the same denominator, follow these steps:
Step 1: Find the least common denominator (LCD). The LCD is the smallest multiple that is divisible by all the denominators involved. In this case, the denominators are 12, 6, and 3. The LCD for these fractions is 12 since it is the smallest multiple of these numbers.
Step 2: Rewrite each fraction with the LCD of 12. To do this, we need to find the equivalent fractions with a denominator of 12.
For 3/12, since the current denominator is 12, it is already in the desired form.
For 1/6, multiply both the numerator and denominator by 2, obtaining 2/12.
For 1/3, multiply both the numerator and denominator by 4, obtaining 4/12.
Now, the fractions are: 3/12, 2/12, and 4/12.
Step 3: Order the fractions from least to greatest. Comparing the numerators, we can see that 2/12 is the smallest, followed by 3/12, and then 4/12.
Therefore, the fractions in order from least to greatest, with the same denominator of 12, are: 2/12, 3/12, and 4/12.