Fractions help
Dividing fractions
Dividing by a fraction looks tricky, but it comes down to one rule: swap the second fraction for its reciprocal, then multiply.
What is a reciprocal?
The reciprocal of a fraction is what you get when you swap the top and bottom numbers.
The reciprocal of 3/4 is 4/3.
The reciprocal of 2/5 is 5/2.
That is all a reciprocal is — the fraction flipped upside down.
What this looks like in the game
You tap a fish and see "Work out 3/4 ÷ 1/2." You drag tiles to build the answer. The game expects a fully simplified fraction or mixed number.
How to divide fractions
Keep the first fraction exactly as it is.
Change ÷ to ×.
Swap the second fraction for its reciprocal (flip it).
Multiply across.
Simplify.
Worked example 1 — simple case
Keep 3/4. Change ÷ to ×. Flip 1/2 → 2/1.
3/4 × 2/1 · Top: 3 × 2 = 6 · Bottom: 4 × 1 = 4
Simplify 6/4
6/4 = 3/2 = 1 and 1/2
Worked example 2 — harder case
Keep 5/6. Change ÷ to ×. Flip 2/3 → 3/2.
5/6 × 3/2 · Top: 5 × 3 = 15 · Bottom: 6 × 2 = 12
Simplify 15/12 (both divide by 3)
5/4 = 1 and 1/4
The most common mistake
Watch out for
Flipping the wrong fraction — flipping the first one instead of the second.
Wrong
3/4 ÷ 1/2 → flip the first fraction → 4/3 × 1/2 = 4/6 = 2/3. Wrong answer.
Right
Keep the first fraction. Flip only the second: 3/4 × 2/1 = 6/4 = 3/2.
A way to remember it: keep, change, flip. Keep the first fraction. Change ÷ to ×. Flip the second fraction.
Which game stage uses this
This is the Dividing stage. You will see these questions as the fish get more unusual — look out for the seahorse and octopus.