Guide · for teachers and parents

How to Teach Adding Fractions

The short answer

Teach it as counting things that have the same name. Two eighths plus three eighths is five eighths, just as two apples plus three apples is five apples. Say it in words before writing it, draw bars, and leave the rule until kids can explain why the bottom stays the same.

1/4
+
2/4
=
3/4

Start with words, not symbols

Write “2 eighths + 3 eighths” with the word spelled out. Kids almost never add the bottoms when the bottom is a word. The word works as a unit, like inches or apples. Once that feels obvious, swap the word for the symbol. This small step is the best defense against the add-the-bottoms habit.

Make the mistake visible

Don't just mark 3/8 wrong. Draw it. Shade 1/4 and 2/4 on a bar, then shade 3/8 on another bar of the same size. Kids can see that 3/8 is less than the 2/4 they started with: they added, and the amount shrank. That contradiction teaches more than any rule. Try 1/2 + 1/2 too: adding the bottoms gives 2/4, which is only one half, when any child knows two halves make a whole.

Then subtraction, then unlike denominators

Subtraction is the same idea: 5/8 take away 2/8 is 3/8. Keep answers at 1 or below at first, then let sums go past a whole. Only move to unlike denominators once equivalent fractions are comfortable, since that's the skill that does all the work there.

How to do it with Fraction Bakery

  1. Teach with the adding lesson on the board.
  2. Play Combine Boxes: dragging two boxes together shows the slices staying the same size.
  3. Print adding like fractions. Start with the cakes sheet.
  4. Check that kids can say why the bottom doesn't change. If they can, they're ready for unlike denominators.

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Questions people ask

Why do kids add the denominators?

Because they see a fraction as two separate numbers, and they've spent years adding whatever numbers they see. Saying the fraction in words fixes this fast.

When do kids learn to add fractions?

With like denominators in 4th grade and with unlike denominators in 5th grade, in US Common Core.

Take the bakery with you, soon

A Fraction Bakery app for iPhone is on the way. The plan: offline play for the car, a parent report of which fractions have stuck, and the full bakery shelf of prizes. Until then, the whole game is free right here.

Coming soon on theApp Store