When asked to find the multiples of a fraction such as 3/4, what should you get back as an answer? In other words how do you determine a multiple of a fraction?

1, 2, 3, 4, 5, ...

are multiples of 1.

2, 4, 6, 8, 10, ...

are multiples of 2.

1/2, 2/2, 3/2, 4/2, 5/2, ...

are multiples of 1/2.

3/4, 6/4, 9/4, 12/4, 15/4, ...

are multiples of 3/4.

## Comments

Multiple 2 of 3/4 = 3/4 + 3/4 = 6/4 = 2 X 3/4 = 6/4

Multiple 3 of 1/2 = 1/2 + 1/2 + 1/2 = 3 X 1/2 = 3/2

Multiple 4 of 1/2 = 1/2 + 1/2 + 1/2 + 1/2 = 4 X 1/2 = 4/2

are multiples of 1.

2, 4, 6, 8, 10, ...

are multiples of 2.

1/2, 2/2, 3/2, 4/2, 5/2, …

are multiples of 1/2.

3/4, 6/4, 9/4, 12/4, 15/4, …

are multiples of 3/4.

4/2, 8/2, 16/2, 48/2, 60/2, …

are multiples of 4/2.