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Amanda wants to put 14\frac{1}{4} of a kilogram of bird seed in each of the bird cages in her pet shop. She has 34\frac{3}{4} of a kilogram of bird seed left. How many cages can she refill with bird seed?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ cages

Full solution

Q. Amanda wants to put 14\frac{1}{4} of a kilogram of bird seed in each of the bird cages in her pet shop. She has 34\frac{3}{4} of a kilogram of bird seed left. How many cages can she refill with bird seed?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____ cages
  1. Rewrite as multiplication: Rewrite the division problem as a multiplication by the reciprocal of the second number: 34÷14\frac{3}{4} \div \frac{1}{4} becomes 34×41\frac{3}{4} \times \frac{4}{1}.
  2. Multiply numerators and denominators: Multiply the numerators and the denominators: (3×4)/(4×1)=12/4(3 \times 4) / (4 \times 1) = 12/4.
  3. Simplify the fraction: Simplify the fraction 124\frac{12}{4} to get 33.