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Almost One

Stage: 3 Challenge Level: Challenge Level:1

You could begin by choosing a fraction bigger than $\frac{1}{2}$ and adding on smaller fractions to get close to 1.

You could approximate each fraction to fractions that you are familiar with (with small denominators) and then use your approximations to estimate possible sums.

It is often easiest to add fractions when they have the same denominator...