Nancy has a 3.5 -pound bag of birdseed. She uses \( \frac{3}{4} \) of the bag to fill a bird feeder in her garden. Then, she puts 0.25 pounds in a dish to give to her pet canaries. How much birdseed does she have left? Write your answer as a whole number, decimal, fraction, or mixed number. Simplify any fractions. Submit
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First, let’s figure out how much birdseed Nancy used for the bird feeder. She used \( \frac{3}{4} \) of a 3.5-pound bag. To calculate that, we multiply: \[ \frac{3}{4} \times 3.5 = \frac{3}{4} \times \frac{7}{2} = \frac{21}{8} = 2.625 \text{ pounds.} \] Now, we subtract that amount from the original 3.5 pounds: \[ 3.5 - 2.625 = 0.875 \text{ pounds.} \] Next, she puts 0.25 pounds in a dish for her canaries, so we subtract that amount from what she has left: \[ 0.875 - 0.25 = 0.625 \text{ pounds.} \] Thus, the amount of birdseed Nancy has left is **0.625 pounds** or **\(\frac{5}{8}\)** when expressed as a fraction.