Dana and Megan have to fill 500 envelopes for a charity. At the end of the morning Dana has filled 3/20 of the envelopes and Megan has filled \( \frac{1}{4}\) of them. How many envelopes have they filled together?

200

Explanation

The fraction of envelopes Dana and Megan have filled together \(= \frac{3}{20} + \frac{1}{4}\).
Expressing this sum in terms of the common denominator 20, \(\frac{3}{20} + \frac{1}{4} = \frac{3}{20} + \frac{5}{20}= \frac{8}{20} = \frac{2}{5}\)
2/5 of 50 \(= \frac{5}{20} \times 500 = 200\)So Dana and Megan have filled 200 envelopes together

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