rewrite each pair of fractions using the least common denominator.
20 3
21 7
hello ppl.
1/9 and 1/3
To rewrite each pair of fractions using the least common denominator (LCD), we first need to find the LCD for the given fractions.
The LCD is the smallest multiple that both denominators share. In this case, the denominators are 3 and 7. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, ... and the multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...
From the above multiples, we can see that 21 is the smallest multiple shared by both denominators.
Now, let's rewrite each pair of fractions using the LCD of 21:
20/3 can be rewritten as (20/3) * (7/7) = (140/21).
21/7 can be rewritten as (21/7) * (3/3) = (63/21).
Therefore, the pair of fractions rewritten using the least common denominator are:
(140/21) and (63/21).
To rewrite each pair of fractions using the least common denominator (LCD), we need to find the smallest multiple that both denominators can divide into evenly.
For the first pair of fractions, 20/3 and 21/7, let's find the LCD:
Step 1: List the multiples of the first denominator (3) and the second denominator (7).
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Multiples of 7: 7, 14, 21, 28, 35, 42, ...
Step 2: Look for the smallest common multiple in both lists. In this case, the smallest common multiple is 21.
Step 3: Rewrite each fraction with the LCD.
20/3 = (20/3) * (7/7) = (20 * 7) / (3 * 7) = 140/21
21/7 = (21/7) * (3/3) = (21 * 3) / (7 * 3) = 63/21
Therefore, the pair of fractions rewritten with the least common denominator are 140/21 and 63/21.