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A fancy restaurant put dishes of butter at each table. They divided 34\frac{3}{4} of a kilogram of butter evenly to put 18\frac{1}{8} of a kilogram in each dish. How many butter dishes did they fill?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ dishes

Full solution

Q. A fancy restaurant put dishes of butter at each table. They divided 34\frac{3}{4} of a kilogram of butter evenly to put 18\frac{1}{8} of a kilogram in each dish. How many butter dishes did they fill?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ dishes
  1. Rewrite as multiplication: Rewrite the division problem as a multiplication by the reciprocal of the second number: 34÷18\frac{3}{4} \div \frac{1}{8} becomes 34×81\frac{3}{4} \times \frac{8}{1}.
  2. Multiply the fractions: Multiply the two fractions: (34)×(81)=244(\frac{3}{4}) \times (\frac{8}{1}) = \frac{24}{4}.
  3. Simplify the fraction: Simplify the fraction: 244=6\frac{24}{4} = 6.