Question

The least common denominator for 2/3 and 2/10

Answer 1

30

Step-by-step explanation:

To find the least common denominator (LCD) of 2/3 and 2/10, determine the smallest common multiple of the denominators.

The prime factorization of 3 is 3, and the prime factorization of 10 is 2 * 5.

To find the LCD, we take the highest power of each prime factor that appears in either denominator:

Therefore, the LCD is 2 * 3 * 5 = 30.

Answer 2

To find the least common denominator (LCD) for 2/3 and 2/10, we need to determine the smallest number that both 3 and 10 can divide into evenly. The LCD for 2/3 and 2/10 is 30.

Step-by-step explanation:

To find the least common denominator (LCD) for 2/3 and 2/10, we need to determine the smallest number that both 3 and 10 can divide into evenly.

For 3, the multiples are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

For 10, the multiples are 10, 20, 30, 40, 50, ...

From these lists, we see that the LCD is 30. So, we can rewrite the fractions:

2/3 = 20/30

2/10 = 6/30

Therefore, the least common denominator for 2/3 and 2/10 is 30.