Question

What is the least common denominator for 2/3 and 3/5

Answer 1

Answer: 15

Step-by-step explanation: The common denominator for these 2 fractions is simply the least common multiple for the 2 denominators.

To find the least common multiple or lcm of 3 and 5, we begin by listing the first few multiples of each number.

Multiples of 3

1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

4 x 3 = 12

5 x 3 = 15

We skipped 0 x 3 because our lcm can't be 0.

Next we list the multiples of 5.

Multiples of 5

1 x 5 = 5

2 x 5 = 10

3 x 5 = 15

Notice that 15 appears in both lists so

our least common denominator is 15.