Boxi Math

Stage 2 · New Numbers / #6

1/2 and 2/4 Are the Same Point

S-1 · Numbers are amounts S-3 · Units can be redefined S-6 · Mistakes are fine — try it
Coming soon

The video is in production. Follow along on GitHub to hear when it is out.

The idea

Multiplying the top and bottom by the same number just cuts every piece finer and makes us take more of them, so the point stays where it was.

A common mix-up

Two fourths has bigger numbers, so two fourths is bigger than one half.

Where it stops working

Adding one to the top and the bottom turns one half into two thirds; the point moves right, so the size changes.

School year
China 3–5 US 3–5 UK 4–6 Singapore 3–5