George planted flower seeds he planted 2/5 pounds a violet seeds and 5 ninths pounds of marigold seeds how many pounds of Violet and Marigold seeds did he plant

1 answer

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:

  1. Convert \( \frac{2}{5} \) to have a denominator of 45: \[ \frac{2}{5} = \frac{2 \times 9}{5 \times 9} = \frac{18}{45} \]

  2. 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.