Adding fractions

To add fractions with different bottom numbers, first write them with a common bottom number, so the pieces are the same size: 1/2 + 1/3 = 3/6 + 2/6 = 5/6. The least common multiple of the bottoms is the easiest one. Adding the tops and the bottoms (2/5) is wrong: 2/5 is less than 1/2 alone.

Depth 1 · Foundation

You can add and take away fractions with the same bottom number and with different ones, using a common bottom number, and see why adding the tops and the bottoms is wrong.

Depths of understanding

1
Foundation
You can add and take away fractions with the same bottom number and with different ones, using a common bottom number, and see why adding the tops and the bottoms is wrong.
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Equivalent fractionsEach fraction is rewritten as an equivalent fraction with the common bottom number.Least common multipleThe easiest common bottom number is the least common multiple of the two bottoms.AdditionOnce the pieces are the same size, adding fractions is adding the numbers of pieces.

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