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# Puzzles

## Odd sums

What is $$\frac{1+3}{5+7}$$?
What is $$\frac{1+3+5}{7+9+11}$$?
What is $$\frac{1+3+5+7}{9+11+13+15}$$?
What is $$\frac{1+3+5+7+9}{11+13+15+17+19}$$?
What is $$\frac{\mathrm{sum\ of\ the\ first\ }n\mathrm{\ odd\ numbers}}{\mathrm{sum\ of\ the\ next\ }n\mathrm{\ odd\ numbers}}$$?
If you enjoyed this puzzle, check out Sunday Afternoon Maths V,
puzzles about fractions, or a random puzzle.

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