How many 2/15 meter pieces of wood can you cut from a piece that is 2/3 meter long?

You are cutting wood into equally sized pieces so if you know the length of the wood and the size of the cuts ...

That would be ...

2/3 : 2/15 = 2/3 x 15/2 = 5 pieces

First find a common denominator.

2/3 and 2/15 have a common denominator of 15.

3 goes into 15 five times.

So 2/3 times 5/5 is equal to 10/15.

2/15 goes into 10/15 five times.

You can cut five 2/15 meter pieces out of a 2/3 meter piece.