Adding like fractions

The question

+

+
+
+=
+=
6÷6=1
6÷6=1
=1
  1. Both are sixths, so the pieces are already the same size. That is what lets them be counted together.
  2. 2 of them plus 4 of them is 6 of them: . The bottom does not change — the pieces did not change size.
  3. is every piece of one whole — there is nothing left over and nothing left to cut, so it is just 1.

How it works.

  1. 01

    Both are sixths, so the pieces are already the same size. That is what lets them be counted together.

  2. 02

    2 of them plus 4 of them is 6 of them: 6/6. The bottom does not change — the pieces did not change size.

  3. 03

    6/6 is every piece of one whole — there is nothing left over and nothing left to cut, so it is just 1.