To find the total weight of the flower seeds George planted, you need to add the weight of the violet seeds to the weight of the marigold seeds.
He planted:
- \( \frac{2}{5} \) pounds of violet seeds
- \( \frac{5}{9} \) pounds of marigold seeds
To add these fractions, we need a common denominator. The denominators are 5 and 9. The least common multiple (LCM) of 5 and 9 is 45.
Now, we can convert each fraction:
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Convert \( \frac{2}{5} \) to have a denominator of 45: \[ \frac{2}{5} = \frac{2 \times 9}{5 \times 9} = \frac{18}{45} \]
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Convert \( \frac{5}{9} \) to have a denominator of 45: \[ \frac{5}{9} = \frac{5 \times 5}{9 \times 5} = \frac{25}{45} \]
Now, add the two fractions: \[ \frac{18}{45} + \frac{25}{45} = \frac{18 + 25}{45} = \frac{43}{45} \]
Thus, the total weight of the violet and marigold seeds that George planted is \( \frac{43}{45} \) pounds.