Measure Fractions
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Measure fractions:
The 4 elementary operations with fractions:
3/2 + 4/3 = 17/6
4/3 - 5/4 = 1/12; 5/4 + 1/12 = 4/3
4/5 * 3/2 = 6/5
(6/5) / (3/2) = 4/5
Explore adding unit fractions:
Akhmin Papyrus n/17
Table Adding Unit Fractions:
2/17 = 1/12 + 1/51 + 1/68
3/17 = 1/12 + 1/17 + 1/51 + 1/68
4/17 = 1/12 + 1/15 + 1/17 + 1/68 + 1/85
5/17 = 1/4 + 1/34 + 1/68
6/17 = 1/3 + 1/51
7/17 = 1/3 + 1/17 + 1/51
8/17 = 1/3 + 1/15 + 1/17 + 1/85
9/17 = 1/2 + 1/34
10/17 = 1/2 + 1/17 + 1/34
11/17 = 1/2 + 1/12 + 1/34 + 1/51 + 1/68
12/17 = 1/2 + 1/12 + 1/17 + 1/34 + 1/51 + 1/68
13/17 = 1/2 + 1/4 + 1/68
14/17 = 1/2 + 1/4 + 1/17 + 1/68
15/17 = 1/2 + 1/3 + 1/34 + 1/51
16/17 = 1/2 + 1/3 + 1/17 + 1/34 + 1/51
Adding unit fractions:
1 = 1/4 + 1/5 + 1/6 + 1/9 + 1/10 + 1/15 + 1/18 + 1/20
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