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A group of friends are dining at a pizza parlor. They have 
1(1)/(2) pizzas. If each friend eats 
(1)/(4) of a pizza, how many friends can have an equal share?

A group of friends are dining at a pizza parlor. They have 1121\frac{1}{2} pizzas. If each friend eats 14\frac{1}{4} of a pizza, how many friends can have an equal share?

Full solution

Q. A group of friends are dining at a pizza parlor. They have 1121\frac{1}{2} pizzas. If each friend eats 14\frac{1}{4} of a pizza, how many friends can have an equal share?
  1. Convert to Improper Fraction: Convert mixed number to improper fraction:\newline1(12)=1+12=22+12=321\left(\frac{1}{2}\right) = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}.
  2. Set up Division Problem: Set up the division problem to find how many quarters are in 32\frac{3}{2} pizzas: 32÷14\frac{3}{2} \div \frac{1}{4}.
  3. Convert Division to Multiplication: Convert division into multiplication by the reciprocal: 32×41=3×4/2×1=122=6\frac{3}{2} \times \frac{4}{1} = 3 \times 4 / 2 \times 1 = \frac{12}{2} = 6.