To find out how much land is left for the squash, we start with the total land available, which is \( \frac{3}{4} \) of an acre, and subtract the area planted with beans, which is \( \frac{4}{9} \) of an acre.
First, we need to subtract these two fractions:
\[ \text{Area left for squash} = \frac{3}{4} - \frac{4}{9} \]
To subtract the fractions, we need a common denominator. The least common multiple (LCM) of 4 and 9 is 36. We can convert each fraction to have a denominator of 36:
- For \( \frac{3}{4} \):
\[ \frac{3}{4} = \frac{3 \times 9}{4 \times 9} = \frac{27}{36} \]
- For \( \frac{4}{9} \):
\[ \frac{4}{9} = \frac{4 \times 4}{9 \times 4} = \frac{16}{36} \]
Now we can subtract the two fractions:
\[ \text{Area left for squash} = \frac{27}{36} - \frac{16}{36} = \frac{27 - 16}{36} = \frac{11}{36} \]
So, the area left for planting squash is \( \frac{11}{36} \) of an acre.
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